Math1 EquationsLaajuus (3 cr)
Code: TZLM1300
Credits
3 op
Teaching language
- Finnish
- English
Responsible person
- Anne Rantakaulio, TKN
- Antti Kosonen, TER, TRY, TRM
- Ida Arhosalo, TSA, TAR
- Harri Varpanen, TIC
- Pekka Varis, TTV
- Kalle Niemi, TLS, TLP
Objective
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Qualifications
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Assessment criteria, satisfactory (1)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Assessment criteria, good (3)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Assessment criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Materials
Course material is described during the implementation.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.11.2024 - 09.01.2025
Timing
03.03.2025 - 18.05.2025
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Pekka Varis
Groups
-
TSA25KMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
-
ZJATSA25KMAvoin amk, Sähkö- ja automaatiotekniikka, AMK- Väylät,Monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Opintojakso toteutetaan viikoilla 10 - 17 (3.3.-25.4.)
Learning materials and recommended literature
Course material is described during the implementation.
Teaching methods
Itsenäinen opiskelu videoluentojen avulla, viikottainen verkko-ohjaus
Exam dates and retake possibilities
Kokeen ajankohta julkaistaan oppimisympäristössä opintojakson alussa. Kokeen voi tehdä paikan päällä tai etänä.
Student workload
verkko-ohjaukset 12 h
Itsenäiset harjoitukset 32 h
Itsenäinen opiskelu, kokeeseen valmistautuminen sekä koe 36 h
Further information for students
Opintoijakso arvioidaan kurssin lopulla pidettävällä kokeella. Viikottaisista kotitehtävistä saa kokeeseen lisäpisteitä.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
18.11.2024 - 09.01.2025
Timing
13.01.2025 - 30.04.2025
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Construction Management
Teachers
- Antti Kosonen
- Anne Rantakaulio
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Learning materials and recommended literature
Teacher-created written and video learning materials, along with exercises and tests, in the online learning environment.
Teaching methods
This online course is intended for students retaking the course. The course follows a set schedule, involves extensive problem-solving, and requires the submission of written assignments for evaluation.
Online teaching, independent study and practice, online guidance.
Practical training and working life connections
-
Exam dates and retake possibilities
Pass/fail exam in the Exam studio according to your own schedule. Retakes by January 2025 at the latest.
Grading exam during the week starting on 9.12.2024.
International connections
-
Alternative completion methods
This implementation is recommended for students retaking the course.
Student workload
Calculationally 3 credits * 27 hours/credit = 81 hours. Throughout the fall, at least five hours each week should be reserved for studying the course topics and doing the exercises.
Content scheduling
The course content will be covered in cycles of two/one weeks in the following order:
1. Review of basics and notation
2. Rules of exponents and roots
3. Polynomials and rational expressions
4. First-degree equations
5. Introduction to functions, lines
6. Second-degree polynomial functions and equations
7. Percentage calculations and proportions
8. Systems of equations
9. Geometry
Further information for students
The course assessment is based on a pass/fail exam (mandatory for all grades), tests in the online learning environment, submitted exercises, and a grading exam.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
18.11.2024 - 09.01.2025
Timing
07.01.2025 - 19.05.2025
Number of ECTS credits allocated
3 op
Virtual portion
1.5 op
Mode of delivery
50 % Face-to-face, 50 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
20 - 45
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Kalle Niemi
Groups
-
TLS25KMMLogistiikka - tutkinto-ohjelma (AMK)
-
ZJATLS25KMMAvoin amk, Logistiikka, AMK- Väylät, Monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 7.1. - 23.5.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Exam-studiossa aikavälillä 10.3. - 30.5.
Arvosanakoe viikolla 16, sen uusintakoe 1 viikolla 18 ja uusintakoe 2 viikolla 21.
Alternative completion methods
Web-based course in Summer 2025
Student workload
Lectures, quided exercises and exam 26 h
Independent work and automatic test 55 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
If a student enrolled in the course does not show activity within three weeks of the start of the course, the enrollment will be rejected.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
18.11.2024 - 09.01.2025
Timing
07.01.2025 - 19.05.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
20 - 55
Degree programmes
- Bachelor's Degree Programme in Construction Management
Teachers
- Kalle Niemi
Groups
-
TRM25KMMRakennusmestari (AMK)
-
ZJATRM25KMMAvoin amk,Rakennusmestari,AMK- Väylät, Monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 7.1. - 23.5.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Exam-studiossa aikavälillä 10.3. - 30.5.
Arvosanakoe viikolla 18, sen uusintakoe 1 viikolla 19 ja uusintakoe 2 viikolla 21.
Alternative completion methods
Web-based course in Summer 2025
Student workload
Lectures, quided exercises and exam 26 h
Independent work and automatic test 55 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
Jatkuva palaute: automaattitestit
Läpäisykoe
Arvosanakoe
Avoin AMK 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Timing
01.01.2025 - 30.04.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Antti Kosonen
Groups
-
ZJM24STVGRAvoin amk, Tekniikka, Väyläopinnot, Rakennus, Gradia
-
ZJM24STVGSAAvoin amk, Tekniikka, Väyläopinnot, Sähkö-ja automaatiotek, Gradia
-
ZJM24STVGKAvoin amk, Tekniikka, Väyläopinnot, Gradia
-
ZJM24STVGLAAvoin amk, Tekniikka, Väyläopinnot, Logistiikka, Gradia
-
ZJM24STGAvoin amk, Tekniikka, Toinen aste, Gradia
-
ZJM24STIGAvoin amk, ICT, Toinen aste, Gradia
-
ZJM24STIVGAAvoin amk, Tekniikka, Väyläopinnot, Tieto- ja viestintätek, Gradia
-
ZJM24STIVGILAvoin amk, Tekniikka, Väyläopinnot, Tieto- ja viestintätek, Gradia lukio
-
ZJM24STVGSLAvoin amk, Tekniikka, Väyläopinnot, Sähkö-ja automaatiotek, Gradia lukio
-
ZJM24STVGLLAvoin amk, Tekniikka, Väyläopinnot, Logistiikka, Gradia lukio
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented in spring 2025 at Jamk Rajakatu campus.
Learning materials and recommended literature
Written material and videos by teacher.
Literature:
Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Contact teaching, independent work
Exam dates and retake possibilities
Will be agreed at the begining of the course
Student workload
3 credits corresponds to 81 hours of work
Content scheduling
Topics will be discussed in the following order:
Basics: Calculations, fractions
Algebra: Power rules, algebra with polynomials
Introduction to functions: The concept of a function, 1st degree polynomial functions
First degree equations: The basic idea of solving equations algebraically
Second degree polynomial functions and equations: Parabolas, solving second degree polynomial equations
Systems of equations: Methods for solving systems of equations, applications
Geometry: Angle measurement, trigonometry of right triangles, some fundamentals of planar and 3D geometry
Further information for students
Final exam in two parts
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
28.10.2024 - 15.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Seats
20 - 30
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Groups
-
ZJATLP24S1Avoin amk, Purchasing and Logistics Engineering, Päivä
-
TLP24S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
-
TLP24VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 28.10. - 15.12.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
College Algebra 2e (https://openstax.org/details/books/college-algebra-2e)
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Exam Part 1: Core questions in the Exam studio between 20.11.2023 - 7.1.2024 (obligatory)
Exam Part 2: Grading questions in week 50, resit 1 in week 51 and resit 2 in week 2/2024. (optional)
Student workload
Lectures, quided exercises and exam 30 h
Independent work and automatic tests 51 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
automatic tests
Exam Part 1: Core questions (obligatory)
Exam Part 2: Grading questions (grades 2-5)
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
21.10.2024 - 18.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- English
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Harri Varpanen
Groups
-
TIC24S1Bachelor's Degree Programme in Information and Communications Technology
-
ZJATIC24S1Avoin amk,ICT, Information and Communication Technology, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Weeks 43-50
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the learning environment Moodle.
Teaching methods
Weekly contact teaching and weekly homework exercises, independent studying from theory material, exams.
Exam dates and retake possibilities
Times of the exams will be given in the first lesson of the course.
Student workload
approx. 30h for lessons and exams
approx. 50h independent studying
Further information for students
Open University of Applied Sciences 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
21.10.2024 - 18.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TTV24SMTieto- ja viestintätekniikka (AMK)
-
ZJATTV24SMAvoin amk, Tieto- ja viestintätekniikka, Monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Implementation remotely during period 2 + Saturday study day
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the Moodle learning environment.
Teaching methods
Weekly contact teaching (2+2 h/week), weekly exercises and homework exercises, project work, independent studying from theory material, exams.
Exam dates and retake possibilities
Schedule of the exams and two resits will be given in the beginning of the course.
The course ends with a resit-2. After this, coursework returns are no longer accepted and the incomplete course must be re-taken in its entirety at the next course implementation.
Alternative completion methods
Possibility to take an exam at the beginning of the course on the Exam Studio platform or on other means of organising the exam. In addition, coursework must be returned to Moodle.
Student workload
The estimated workload of the course is 3 credits * 27 h/cr = 81 h.
Contact teaching and councelling approx. 30 h
Weekly exercises and tests 6 x 6 h = 36 h
Independent study of material, preparation for exams and project work 12 h
Final exams 3 h
Some weeks may include distance learning depending on the availability of Dynamo's classrooms.
Further information for students
Assessment methods:
The course includes compulsory assignments, homework and mid-term tests. Assessment will be by means of an end-of-course pass/fail exam and with a grade exam or with exam on Exam Studio. A pass mark of grade 1 is awarded on completion of the compulsory elements of the course and succeeding in the pass/fail exam. A higher grade requires participation in an grade exam.
It is also recommended to choose the course Mat1 Support if you have no background in upper secondary school long mathematics or if you need to build up your calculation routine.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
21.10.2024 - 18.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TTV24S1Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Implementation at Dynamo building on the Lutakko campus during period 2.
The course has 80% compulsory to attend contact teaching. All absences from contact teaching must be compensated in the manner indicated at the beginning of the course.
Some weeks may include distance learning depending on the availability of Dynamo's classrooms.
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the Moodle learning environment.
Teaching methods
Weekly contact teaching (2+2 h/week), weekly exercises and homework exercises, project work, independent studying from theory material, exams.
Exam dates and retake possibilities
Schedule of the exams and two resits will be given in the beginning of the course.
The course ends with a resit-2. After this, coursework returns are no longer accepted and the incomplete course must be re-taken in its entirety at the next course implementation.
Alternative completion methods
Possibility to take an exam at the beginning of the course on the Exam Studio platform or on other means of organising the exam. In addition, coursework must be returned to Moodle.
Student workload
The estimated workload of the course is 3 credits * 27 h/cr = 81 h.
Contact teaching and councelling approx. 30 h
Weekly exercises and tests 6 x 6 h = 36 h
Independent study of material, preparation for exams and project work 12 h
Final exams 3 h
Content scheduling
Implementation at Dynamo building on the Lutakko campus during period 2.
Further information for students
Assessment methods:
The course includes compulsory assignments, homework and mid-term tests. Assessment will be by means of an end-of-course pass/fail exam and with a grade exam or with exam on Exam Studio. A pass mark of grade 1 is awarded on completion of the compulsory elements of the course and succeeding in the pass/fail exam. A higher grade requires participation in an grade exam.
It is also recommended to choose the course Mat1 Support if you have no background in upper secondary school long mathematics or if you need to build up your calculation routine.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
21.10.2024 - 18.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- English
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Harri Varpanen
Groups
-
TIC24S2Bachelor's Degree Programme in Information and Communications Technology
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Weeks 43-50
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the learning environment Moodle.
Teaching methods
Weekly contact teaching and weekly homework exercises, independent studying from theory material, exams.
Exam dates and retake possibilities
Times of the exams will be given in the first lesson of the course.
Student workload
approx. 30h for lessons and exams
approx. 50h independent studying
Further information for students
Open University of Applied Sciences 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
21.10.2024 - 18.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TTV24S2Tieto- ja viestintätekniikka (AMK)
-
ZJATTV24S2Avoin amk, Tieto- ja viestintätekniikka, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Implementation at Dynamo building on the Lutakko campus during period 2.
The course has 80% compulsory to attend contact teaching. All absences from contact teaching must be compensated in the manner indicated at the beginning of the course.
Some weeks may include distance learning depending on the availability of Dynamo's classrooms.
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the Moodle learning environment.
Teaching methods
Weekly contact teaching (2+2 h/week), weekly exercises and homework exercises, project work, independent studying from theory material, exams.
Exam dates and retake possibilities
Schedule of the exams and two resits will be given in the beginning of the course.
The course ends with a resit-2. After this, coursework returns are no longer accepted and the incomplete course must be re-taken in its entirety at the next course implementation.
Alternative completion methods
Possibility to take an exam at the beginning of the course on the Exam Studio platform or on other means of organising the exam. In addition, coursework must be returned to Moodle.
Student workload
The estimated workload of the course is 3 credits * 27 h/cr = 81 h.
Contact teaching and councelling approx. 30 h
Weekly exercises and tests 6 x 6 h = 36 h
Independent study of material, preparation for exams and project work 12 h
Final exams 3 h
Content scheduling
Implementation at Dynamo building on the Lutakko campus during period 2.
Further information for students
Assessment methods:
The course includes compulsory assignments, homework and mid-term tests. Assessment will be by means of an end-of-course pass/fail exam and with a grade exam or with exam on Exam Studio. A pass mark of grade 1 is awarded on completion of the compulsory elements of the course and succeeding in the pass/fail exam. A higher grade requires participation in an grade exam.
It is also recommended to choose the course Mat1 Support if you have no background in upper secondary school long mathematics or if you need to build up your calculation routine.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
21.10.2024 - 18.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TTV24S3Tieto- ja viestintätekniikka (AMK)
-
ZJATTV24S3Avoin amk, Tieto- ja viestintätekniikka, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Implementation at Dynamo building on the Lutakko campus during period 2.
The course has 80% compulsory to attend contact teaching. All absences from contact teaching must be compensated in the manner indicated at the beginning of the course.
Some weeks may include distance learning depending on the availability of Dynamo's classrooms.
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the Moodle learning environment.
Teaching methods
Weekly contact teaching (2+2 h/week), weekly exercises and homework exercises, project work, independent studying from theory material, exams.
Exam dates and retake possibilities
Schedule of the exams and two resits will be given in the beginning of the course.
The course ends with a resit-2. After this, coursework returns are no longer accepted and the incomplete course must be re-taken in its entirety at the next course implementation.
Alternative completion methods
Possibility to take an exam at the beginning of the course on the Exam Studio platform or on other means of organising the exam. In addition, coursework must be returned to Moodle.
Student workload
The estimated workload of the course is 3 credits * 27 h/cr = 81 h.
Contact teaching and councelling approx. 30 h
Weekly exercises and tests 6 x 6 h = 36 h
Independent study of material, preparation for exams and project work 12 h
Final exams 3 h
Some weeks may include distance learning depending on the availability of Dynamo's classrooms.
Content scheduling
Implementation at Dynamo building on the Lutakko campus during period 2.
Further information for students
Assessment methods:
The course includes compulsory assignments, homework and mid-term tests. Assessment will be by means of an end-of-course pass/fail exam and with a grade exam or with exam on Exam Studio. A pass mark of grade 1 is awarded on completion of the compulsory elements of the course and succeeding in the pass/fail exam. A higher grade requires participation in an grade exam.
It is also recommended to choose the course Mat1 Support if you have no background in upper secondary school long mathematics or if you need to build up your calculation routine.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
14.10.2024 - 31.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Ida Arhosalo
Groups
-
TSA24SR1Insinööri (AMK), sähkö- ja automaatiotekniikka, päivätoteutus
-
ZJATSA24S1Avoin amk, Sähkö-ja automaatiotekniikka, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
viikot 43-50 1,5h sessio 2 kertaa viikossa
Learning materials and recommended literature
Kurssin työtilasta liittyvä kirjallinen sekä videoina oleva materiaali. Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus, joka sisältää sekä luennointia että laskuharjoituksien laskemista. Osa laskuharjoituksista tehdään kotitehtävinä. Lisäksi kontaktituntien ulkopuolella opiskelija perehtyy kirjalliseen teoriamateriaaliin ja opetusvideoihin. Opintojakson tunneilla on läsnäolovelvoite. Poissaoloista sovitaan opettajan kanssa perustelluista syistä. Tarkemmat käytännöt sovitaan aloitusviikolla.
Exam dates and retake possibilities
Ainakin joitakin osasuorituksia tehdään Exam-tenttistudiossa.
Student workload
Kontaktiopetus noin 30h
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
14.10.2024 - 31.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- English
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ville Arvio
Groups
-
TAR24S1Bachelor's Degree Programme in Automation and Robotics
-
ZJATAR24SSAvoin amk, Automation and Robotics, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Implementation at Dynamo building on the Lutakko campus during period 2.
The course has 80% compulsory to attend contact teaching. All absences from contact teaching must be compensated in the manner indicated at the beginning of the course.
Some weeks may include distance learning depending on the availability of Dynamo's classrooms.
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the Moodle learning environment.
Teaching methods
Weekly contact teaching (2+2 h/week), weekly exercises and homework exercises, project work, independent studying from theory material, exams.
Exam dates and retake possibilities
Schedule of the exams and two resits will be given in the beginning of the course.
The course ends with a resit-2. After this, coursework returns are no longer accepted and the incomplete course must be re-taken in its entirety at the next course implementation.
Alternative completion methods
Possibility to take an exam at the beginning of the course on the Exam Studio platform or on other means of organising the exam. In addition, coursework must be returned to Moodle.
Student workload
The estimated workload of the course is 3 credits * 27 h/cr = 81 h.
Contact teaching and councelling approx. 30 h
Weekly exercises and tests 6 x 6 h = 36 h
Independent study of material, preparation for exams and project work 12 h
Final exams 3 h
Content scheduling
The schedule of the course is agreed on at the first meeting of the course and then published in the e-learning environment.
Further information for students
Assessment methods:
The course includes compulsory assignments, homework and mid-term tests. Assessment will be by means of an end-of-course pass/fail exam and with a grade exam or with exam on Exam Studio. A pass mark of grade 1 is awarded on completion of the compulsory elements of the course and succeeding in the pass/fail exam. A higher grade requires participation in an grade exam.
It is also recommended to choose the course Mat1 Support if you have no background in upper secondary school long mathematics or if you need to build up your calculation routine.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
14.10.2024 - 31.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Ida Arhosalo
Groups
-
TSA24SR2Insinööri (AMK), sähkö- ja automaatiotekniikka, päivätoteutus
-
ZJATSA24S1Avoin amk, Sähkö-ja automaatiotekniikka, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
viikot 43-50 1,5h sessio 2 kertaa viikossa
Learning materials and recommended literature
Kurssin työtilasta liittyvä kirjallinen sekä videoina oleva materiaali. Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus, joka sisältää sekä luennointia että laskuharjoituksien laskemista. Osa laskuharjoituksista tehdään kotitehtävinä. Lisäksi kontaktituntien ulkopuolella opiskelija perehtyy kirjalliseen teoriamateriaaliin ja opetusvideoihin. Opintojakson tunneilla on läsnäolovelvoite. Poissaoloista sovitaan opettajan kanssa perustelluista syistä. Tarkemmat käytännöt sovitaan aloitusviikolla.
Exam dates and retake possibilities
Ainakin joitakin osasuorituksia tehdään Exam-tenttistudiossa.
Student workload
Kontaktiopetus noin 30h
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
09.09.2024 - 15.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
20 - 60
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Antti Kosonen
Scheduling groups
- TLS24SA (Capacity: 35. Open UAS: 0.)
- TLS24SB (Capacity: 35. Open UAS: 0.)
Groups
-
TLS24S1Logistiikka - tutkinto-ohjelma (AMK)
-
ZJATLS24S1Avoin amk, Logistiikka, Päivä
Small groups
- TLS24SA
- TLS24SB
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
September 9, 2024 - December 15, 2024
Learning materials and recommended literature
Teacher-created written material and video material in the course Moodle workspace.
Teaching methods
Flipped learning: The theory is studied independently using written material and instructional videos before the weekly lesson. During the weekly contact session, the focus is on problem-solving exercises and personal guidance. Attendance is mandatory at the weekly sessions.
Active participation in solving exercise tasks is necessary to achieve the learning objectives.
Practical training and working life connections
-
Exam dates and retake possibilities
- Passing exam independently at Exam Studio.
- Graded exam starting on the week of December 9, 2024.
- 1st retake session starting on the week of January 13, 2025.
- 2nd retake session starting on the week of February 3, 2025.
International connections
-
Alternative completion methods
Any implementation of course TZLM1300.
Student workload
Estimated workload: 3 cr * 27 h/cr = 81 h. This means approximately six hours of weekly workload + exams.
Content scheduling
The content is covered roughly in the following order:
- Exponent laws
- Fractional exponents and roots
- Polynomials
- Rational expressions
- Linear equations
- Word problems
- Lines
- Quadratic equations and parabolas
- Percentage calculations and proportions
- Systems of equations
- Geometry
- Geometry
- Exams
Further information for students
If a student does not show activity within three weeks from the start of the course, their course registration will be rejected.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
02.09.2024 - 17.11.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
20 - 60
Degree programmes
- Bachelor's Degree Programme in Construction and Civil Engineering
Teachers
- Ville Sivil
Scheduling groups
- TRY24SA (Capacity: 35. Open UAS: 0.)
- TRY24SB (Capacity: 35. Open UAS: 0.)
Groups
-
TRY24S1Rakennus- ja yhdyskuntatekniikka (AMK)
-
ZJATRY24S1Avoin amk, Rakennus- ja yhdyskuntatekniikka, Päivä
Small groups
- TRY24SA
- TRY24SB
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
September 2, 2024 - November 17, 2024
Learning materials and recommended literature
Written material and video material in the course Moodle workspace.
Teaching methods
Face-to-face teaching, independent study
Active participation in solving exercise tasks is necessary to achieve the learning objectives.
Practical training and working life connections
-
Exam dates and retake possibilities
The timetable for exams is announced in the beginning of the course.
International connections
-
Alternative completion methods
Any implementation of course TZLM1300.
Student workload
Estimated workload: 3 cr * 27 h/cr = 81 h. This means approximately six hours of weekly workload + exams.
Content scheduling
The content is covered roughly in the following order:
- Exponent laws
- Fractional exponents and roots
- Polynomials
- Rational expressions
- Linear equations
- Word problems
- Lines
- Quadratic equations and parabolas
- Percentage calculations and proportions
- Systems of equations
- Geometry
- Geometry
- Exams
Further information for students
If a student does not show activity within three weeks from the start of the course, their course registration will be rejected.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
02.09.2024 - 18.11.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
20 - 79
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Anne Rantakaulio
Groups
-
TKN24SMKonetekniikka (AMK)
-
TKN24SAKonetekniikka (AMK)
-
TKN24SBKonetekniikka (AMK)
-
TKN24S1Konetekniikka (AMK)
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ZJATKN24SMAvoin amk, Konetekniikka, Monimuoto
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ZJATKN24S1Avoin amk, Konetekniikka, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 2.9 - 18.11.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Exam-studiossa aikavälillä 1.10. - 9.12.
Arvosanakoe viikolla 46, sen uusintakoe 1 viikolla 48 ja uusintakoe 2 viikolla 50.
Alternative completion methods
Web-based course in Spring 2025 or in Summer 2025
Student workload
Lectures, quided exercises and exam 40 h
Independent work and automatic tests 40 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
Jatkuva palaute: automaattitestit
Lainalaskelma-ryhmätehtävä
Läpäisykoe
Arvosanakoe
Bonustehtävä
Avoin AMK 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 31.05.2025
Timing
30.08.2024 - 31.07.2025
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
10 - 15
Teachers
- Anne Rantakaulio
Groups
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ZJA23STLVKKAvoin amk,Tekniikka, Korkeakoulupolku, Logistiikka, Valtakunnallinen
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UTIVERKKOInstitute of New Industry, online learning (mechanical, logistics and civil engineering)
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ZJA25KTNOAvoin amk,Tekniikka, Nonstop, Verkko
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ZJA24STNOAvoin amk,Tekniikka, Nonstop, Verkko
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 1.8.2024 - 31.7.2025.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material: Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Distance learning, booklet tasks, automatic tests, independent work, learning diary, self assessment, application, exam. Guiding methods: Question column, Zoom-address and the conversation area in Moodle for students.
Exam dates and retake possibilities
Three timetables:
- timetable 1: 1.8.2024 - 10.12.2024 (registration 1.8. - 30.9.; exam online 13.11., re-exam1 27.11., re-exam 2 8.12.)
- timetable 2: 1.10.2024 - 31.5.2025 (registration 1.10. - 28.2.; exam online 6.5., re-exam1 20.5., re-exam 2 27.5.)
- timetable 3: 1.3.2025 - 31.7.2025 (registration 1.3. - 31.7.; exam in Exam Studio 3.7. - 31.7., the graded exam will be in August at a time to be announced later.)
The passing exam in Exam Studio, open according to the time table of the course. The passing exam can also be taken online during autumn and spring.
Graded exams during online supervised exam times.
Student workload
This is a nonstop course. Student may enroll to the course during 1.8.-31.5. There are three (3) different time periods inside the nonstop course:
- Course studied by 10.12.
- Course studied by 31.5.
- Course studied by 31.7.
Student chooses the time period in the virtual study environment. Time period should be selected based on students enrollment and study right time. Student can create own time schedule for the assignments and tasks within the selected time period.
The workspace for the first implementation will open on August 1, the second on October 1. and the third 1.3. Registrations are accepted once a week on Mondays. If the virtual study environment has not opened for you within 2 weeks after enrollment, please contact the course teacher.
The calculated workload is the number of credits times 27 hours, so in this course it is 81 hours.
Independent work 77 h
Own application (voluntary, 5 h)
Controlled exam 4 h
Further information for students
Continous feedback: automatic tests
Loan calculation group assignment
Passing exam
Graded exam
Own application
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
26.08.2024 - 18.12.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Construction Management
Teachers
- Antti Kosonen
- Anne Rantakaulio
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course starts on August 26, 2024, and ends on December 22, 2024.
Learning materials and recommended literature
Teacher-created written and video learning materials, along with exercises and tests, in the online learning environment.
Teaching methods
This online course is intended for students retaking the course. The course follows a set schedule, involves extensive problem-solving, and requires the submission of written assignments for evaluation.
Online teaching, independent study and practice, online guidance.
Practical training and working life connections
-
Exam dates and retake possibilities
Pass/fail exam in the Exam studio according to your own schedule. Retakes by January 2025 at the latest.
Grading exam during the week starting on 9.12.2024.
International connections
-
Alternative completion methods
This implementation is recommended for students retaking the course.
Student workload
Calculationally 3 credits * 27 hours/credit = 81 hours. Throughout the fall, at least five hours each week should be reserved for studying the course topics and doing the exercises.
Content scheduling
The course content will be covered in cycles of two/one weeks in the following order:
1. Review of basics and notation
2. Rules of exponents and roots
3. Polynomials and rational expressions
4. First-degree equations
5. Introduction to functions, lines
6. Second-degree polynomial functions and equations
7. Percentage calculations and proportions
8. Systems of equations
9. Geometry
Further information for students
The course assessment is based on a pass/fail exam (mandatory for all grades), tests in the online learning environment, submitted exercises, and a grading exam.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2024 - 22.08.2024
Timing
19.08.2024 - 24.11.2024
Number of ECTS credits allocated
3 op
Virtual portion
1.5 op
Mode of delivery
50 % Face-to-face, 50 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
20 - 45
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Antti Kosonen
Groups
-
ZJATLS24SMMAvoin amk, Logistiikka, Monimuoto
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TLS24SMMLogistiikka - tutkinto-ohjelma (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
August 19, 2024 - November 24, 2024
Learning materials and recommended literature
Teacher-created written material and video material in the course Moodle workspace.
Teaching methods
Online teaching, independent study. Theory is studied independently using written material and instructional videos. Weekly online guidance provides support for learning and problem-solving exercises.
Active participation in solving exercise tasks is necessary to achieve the learning objectives.
Practical training and working life connections
-
Exam dates and retake possibilities
- Passing exam starting on the week of November 18 or at a convenient time at Exam Studios.
- Graded exam starting on the week of November 18, 2024.
- 1st retake session on December 11, 2024, from 5 pm to 9 pm.
- 2nd retake session on January 15, 2025, from 5 pm to 9 pm.
International connections
-
Alternative completion methods
Any implementation of course TZLM1300.
Student workload
Estimated workload: 3 cr * 27 h/cr = 81 h. This means approximately six hours of weekly workload + exams.
Content scheduling
The content is covered roughly in the following order:
- Exponent laws
- Fractional exponents and roots
- Polynomials
- Rational expressions
- Linear equations
- Word problems
- Lines
- Quadratic equations and parabolas
- Percentage calculations and proportions
- Systems of equations
- Geometry
- Geometry
- Exams
Further information for students
If a student does not show activity within three weeks from the start of the course, their course registration will be rejected.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 22.08.2024
Timing
01.08.2024 - 31.12.2024
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ville Sivil
Groups
-
TER24SMEnergia- ja ympäristötekniikka (AMK)
-
ZJATER24SMAvoin amk, Energia- ja ympäristötekniikka, monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Learning materials and recommended literature
Course material is described during the implementation.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 22.08.2024
Timing
01.08.2024 - 17.11.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ville Sivil
Groups
-
TER24S1Energia- ja ympäristötekniikka (AMK)
-
ZJATER24S1Avoin amk, Energia- ja ympäristötekniikka , päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
September 2, 2024 - November 17, 2024
Learning materials and recommended literature
Written material and video material in the course Moodle workspace.
Teaching methods
Face-to-face teaching, independent study
Active participation in solving exercise tasks is necessary to achieve the learning objectives.
Practical training and working life connections
-
Exam dates and retake possibilities
The timetable for exams is announced in the beginning of the course.
International connections
-
Alternative completion methods
Any implementation of course TZLM1300.
Student workload
Estimated workload: 3 cr * 27 h/cr = 81 h. This means approximately six hours of weekly workload + exams.
Content scheduling
The content is covered roughly in the following order:
- Exponent laws
- Fractional exponents and roots
- Polynomials
- Rational expressions
- Linear equations
- Word problems
- Lines
- Quadratic equations and parabolas
- Percentage calculations and proportions
- Systems of equations
- Geometry
- Geometry
- Exams
Further information for students
If a student does not show activity within three weeks from the start of the course, their course registration will be rejected.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
20.11.2023 - 10.01.2024
Timing
04.03.2024 - 26.04.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Pekka Varis
Groups
-
TSA24KMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Opintojakso toteutetaan viikoilla 10 - 17 (4.3.-26.4.)
Learning materials and recommended literature
Course material is described during the implementation.
Teaching methods
Itsenäinen opiskelu videoluentojen avulla, viikottainen verkko-ohjaus
Exam dates and retake possibilities
Kokeen ajankohta julkaistaan oppimisympäristössä opintojakson alussa. Kokeen voi tehdä paikan päällä tai etänä.
Student workload
verkko-ohjaukset 9 h
Itsenäiset harjoitukset 32 h
Itsenäinen opiskelu, kokeeseen valmistautuminen sekä koe 40 h
Further information for students
Opintoijakso arvioidaan kurssin lopulla pidettävällä kokeella. Viikottaisista kotitehtävistä saa kokeeseen lisäpisteitä.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Timing
02.02.2024 - 31.05.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Antti Kosonen
Groups
-
ZJA23STTAAvoin Amk, Teknologia, Toinen aste
-
ZJAG23STRAvoin AMK,Korkeakoulupolku, Korkeakoulupolku, Rakennus, Gradia
-
ZJAG23STVAvoin AMK,Korkeakoulupolku,Tieto-ja viestintätek, Gradia
-
ZJAG23STLAvoin AMK,Korkeakoulupolku, Logistiikka, Gradia
-
ZJAG23STKAvoin AMK,Korkeakoulupolku, Konetekniikka, Gradia
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 2.2.2024 - 30.4.2024 at Jamk Rajakatu campus.
Learning materials and recommended literature
Written material and videos by teacher.
Literature:
Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Contact teaching, independent work
Exam dates and retake possibilities
Will be agreed at the begining of the course
Student workload
3 credits corresponds to 81 hours of work
Content scheduling
Topics will be discussed in the following order:
Basics: Calculations, fractions
Algebra: Power rules, algebra with polynomials
Introduction to functions: The concept of a function, 1st degree polynomial functions
First degree equations: The basic idea of solving equations algebraically
Second degree polynomial functions and equations: Parabolas, solving second degree polynomial equations
Systems of equations: Methods for solving systems of equations, applications
Geometry: Angle measurement, trigonometry of right triangles, some fundamentals of planar and 3D geometry
Further information for students
Final exam in two parts
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
20.11.2023 - 15.01.2024
Timing
08.01.2024 - 30.04.2024
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 40
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Antti Kosonen
Groups
-
TLS24KMMLogistiikka - tutkinto-ohjelma (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 8.1.2024 - 30.4.2024.
Learning materials and recommended literature
Written material and videos by teacher.
Literature:
Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Face-to-face learning, e-learning, independent work.
Exam dates and retake possibilities
Exam dates will be published in the first meeting.
Alternative completion methods
In spring 2024 the course is available as face-to-face and e-learning implementations.
Student workload
3op * 27h/op = 81op
Approximate use of time:
- Face-to-face lessons 16 h
- Exams 4h
- E-lessons approximately 10h
- Independent work 51 h
Content scheduling
Topics will be discussed in the following order:
Basics: Calculations, fractions
Algebra: Power rules, algebra with polynomials
Introduction to functions: The concept of a function, 1st degree polynomial functions
First degree equations: The basic idea of solving equations algebraically
Second degree polynomial functions and equations: Parabolas, solving second degree polynomial equations
Systems of equations: Methods for solving systems of equations, applications
Geometry: Angle measurement, trigonometry of right triangles, some fundamentals of planar and 3D geometry
Further information for students
Exam in two parts:
- Exam to pass
- Exam for grade
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
20.11.2023 - 15.01.2024
Timing
08.01.2024 - 03.05.2024
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 55
Degree programmes
- Bachelor's Degree Programme in Construction Management
Teachers
- Kalle Niemi
Groups
-
TRM24KMMRakennusmestari (AMK), monimuotototeutus
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 22.1.2024 - 3.5.2024.
Learning materials and recommended literature
Learning material will be announced at the first meeting of the course.
Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Face-to-face and online, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Face-to-face and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2024.
Student workload
3cr = 3 * 27 h = 81h
Content scheduling
Course schedule will presented at the first meeting.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
23.10.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ville Arvio
Groups
-
TAR23S1Bachelor's Degree Programme in Automation and Robotics
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Weeks 43-51
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the learning environment Moodle.
Teaching methods
Weekly contact teaching and weekly homework exercises, independent studying from theory material, exams.
Exam dates and retake possibilities
Schedule of the exams and resits will be given in the beginning of the course.
Student workload
approx. 30h for lessons
approx. 48h of independent studying and exercises
approx. 3h for exams
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
23.10.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Face-to-face, 33 % Online learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV23S1Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 50 (23.10.-15.12.2023) Lutakon kampuksen Dynamolla
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus 3+2 h/viikko (luentoja ja laskuharjoituksia)
Itsenäisiä laskuharjoituksia
Automaattitestejä
Exam dates and retake possibilities
Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Kontaktiopetus noin 30h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Arviointimenetelmä:
Opintojaksoon liittyy pakollisia kotitehtäviä ja välitestejä. Arviointi tehdään opintojakson päätteeksi olevalla läpäisytestillä ja arvosanakokeella. Läpäisytestiin ja arvosanakokeeseen voi osallistua, jos opintojakson pakolliset suoritteet on hyväksytysti tehty. Läpäisytesteillä saa arvosanan 1. Korkeampi arvosana edellytttää arvosanakokeeseen osallistumista.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Avoin AMK 5 paikkaa
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
23.10.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- English
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Harri Varpanen
Groups
-
TIC23S1Bachelor's Degree Programme in Information and Communications Technology
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Weeks 43-50
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the learning environment Moodle.
Teaching methods
Weekly contact teaching and weekly homework exercises, independent studying from theory material, exams.
Exam dates and retake possibilities
Times of the exams will be given in the first lesson of the course.
Student workload
approx. 30h for lessons and exams
approx. 50h independent studying
Further information for students
Open University of Applied Sciences 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
23.10.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Face-to-face, 33 % Online learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV23S2Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 50 (23.10.-15.12.2023) Lutakon kampuksen Dynamolla
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus 3+2 h/viikko (luentoja ja laskuharjoituksia)
Itsenäisiä laskuharjoituksia
Automaattitestejä
Exam dates and retake possibilities
Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Kontaktiopetus noin 30h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Arviointimenetelmä:
Opintojaksoon liittyy pakollisia kotitehtäviä ja välitestejä. Arviointi tehdään opintojakson päätteeksi olevalla läpäisytestillä ja arvosanakokeella. Läpäisytestiin ja arvosanakokeeseen voi osallistua, jos opintojakson pakolliset suoritteet on hyväksytysti tehty. Läpäisytesteillä saa arvosanan 1. Korkeampi arvosana edellytttää arvosanakokeeseen osallistumista.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Avoin AMK 5 paikkaa
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
23.10.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Face-to-face, 33 % Online learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV23S3Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 50 (23.10.-15.12.2023) Lutakon kampuksen Dynamolla
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus 3+2 h/viikko (luentoja ja laskuharjoituksia)
Itsenäisiä laskuharjoituksia
Automaattitestejä
Exam dates and retake possibilities
Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Kontaktiopetus noin 30h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Arviointimenetelmä:
Opintojaksoon liittyy pakollisia kotitehtäviä ja välitestejä. Arviointi tehdään opintojakson päätteeksi olevalla läpäisytestillä ja arvosanakokeella. Läpäisytestiin ja arvosanakokeeseen voi osallistua, jos opintojakson pakolliset suoritteet on hyväksytysti tehty. Läpäisytesteillä saa arvosanan 1. Korkeampi arvosana edellytttää arvosanakokeeseen osallistumista.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Avoin AMK 5 paikkaa
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
23.10.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TTV23S5Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 51 (23.10.-19.12.2023) Lutakon kampuksen Dynamolla
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus 2+2 h/viikko (luentoja ja laskuharjoituksia)
Itsenäisiä laskuharjoituksia
Automaattitestejä
Exam dates and retake possibilities
Opintojaksosta on kurssikoe ja kaksi uusintamahdollisuutta.
Tenttien ja uusintamahdollisuuksien ajankohdat julkaistaan opintojakson alussa oppimisympäristössä.
Kurssi päättyy uusintakoe-2:een. Tämän jälkeen kurssipalautuksia ei voi enää palauttaa ja vaillinaisesti suoritettu kurssi tulee käydä kokonaan uudelleen seuraavan kurssitoteutuksen yhteydessä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Opintojakson laskennallinen kuormitus on 3 op * 27 h/op = 81 h.
Kontaktiopetus ja -ohjaus noin 30 h
Viikottaiset laskuharjoitukset ja testit 6 x 6 h = 36 h
Itsenäinen materiaalin opiskelu ja kokeisiin valmistautuminen 12 h
Loppukokeet 3 h
Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Further information for students
Arviointimenetelmä:
Opintojaksoon liittyy pakollisia kotitehtäviä ja välitestejä. Arviointi tehdään opintojakson päätteeksi olevalla läpäisy- ja arvosanakokeella. Läpäisy- ja arvosanakokeeseen voi osallistua, kun opintojakson pakolliset suoritteet (kotitehtävät ja välitestit) on hyväksytysti tehty. Läpäisykokeella saa arvosanan 1. Korkeampi arvosana edellyttää arvosanakokeeseen osallistumista.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
23.10.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Pekka Varis
- Ville Arvio
Groups
-
TTV23SMTieto- ja viestintätekniikka (AMK)
-
ZJATTV23SMAvoin amk, Tieto- ja viestintätekniikka, Monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 51 (23.10.-19.12.2023) verkko-opetuksena ja monimuotoryhmän lähipäivänä.
Tarkemmat aikataulut sovitaan ja ilmoitetaan opintojakson alussa.
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus etäopetuksena 2+2 h/viikko (luentoja ja laskuharjoituksia)
Itsenäisiä laskuharjoituksia
Automaattitestejä
Exam dates and retake possibilities
Opintojaksosta on kurssikoe ja kaksi uusintamahdollisuutta.
Tenttien ja uusintamahdollisuuksien ajankohdat julkaistaan opintojakson alussa oppimisympäristössä.
Kurssi päättyy uusintakoe-2:een. Tämän jälkeen kurssipalautuksia ei voi enää palauttaa ja vaillinaisesti suoritettu kurssi tulee käydä kokonaan uudelleen seuraavan kurssitoteutuksen yhteydessä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Opintojakson laskennallinen kuormitus on 3 op * 27 h/op = 81 h.
Kontaktiopetus ja -ohjaus noin 30 h
Viikottaiset laskuharjoitukset ja testit 6 x 6 h = 36 h
Itsenäinen materiaalin opiskelu ja kokeisiin valmistautuminen 12 h
Loppukokeet 3 h
Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Further information for students
Arviointimenetelmä:
Opintojaksoon liittyy pakollisia kotitehtäviä ja välitestejä. Arviointi tehdään opintojakson päätteeksi olevalla läpäisy- ja arvosanakokeella. Läpäisy- ja arvosanakokeeseen voi osallistua, kun opintojakson pakolliset suoritteet (kotitehtävät ja välitestit) on hyväksytysti tehty. Läpäisykokeella saa arvosanan 1. Korkeampi arvosana edellyttää arvosanakokeeseen osallistumista.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
01.10.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ida Arhosalo
Groups
-
TSA23SR1Sähkö- ja automaatiotekniikka (AMK)
-
TSA23SR2Sähkö- ja automaatiotekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
viikot 43-50 1,5h sessio 2 kertaa viikossa
Learning materials and recommended literature
Kurssin työtilasta liittyvä kirjallinen sekä videoina oleva materiaali. Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus, joka sisältää sekä luennointia että laskuharjoituksien laskemista. Osa laskuharjoituksista tehdään kotitehtävinä. Lisäksi kontaktituntien ulkopuolella opiskelija perehtyy kirjalliseen teoriamateriaaliin ja opetusvideoihin.
Exam dates and retake possibilities
Ainakin joitakin osasuorituksia tehdään Exam-tenttistudiossa.
Student workload
Kontaktiopetus noin 30h
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
04.09.2023 - 12.11.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Kalle Niemi
Scheduling groups
- TLS23SA (Capacity: 35. Open UAS: 0.)
- TLS23SB (Capacity: 35. Open UAS: 0.)
Groups
-
ZJATLS23S1Avoin amk, Logistiikka, Päivä
-
TLS23S1Logistiikka - tutkinto-ohjelma (AMK)
Small groups
- TLS23SA
- TLS23SB
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 4.9. - 12.11.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Exam-studiossa aikavälillä 23.10. - 30.11.
Arvosanakoe viikolla 45, sen uusintakoe 1 viikolla 47 ja uusintakoe 2 viikolla 2/2024.
Alternative completion methods
Web-based course in Spring 2024 or in Summer 2024
Student workload
Lectures, quided exercises and exam 40 h
Independent work and automatic tests 41 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
Jatkuva palaute: automaattitestit
Läpäisykoe
Arvosanakoe
Avoin AMK 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
04.09.2023 - 17.11.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 55
Degree programmes
- Bachelor's Degree Programme in Construction and Civil Engineering
Teachers
- Anne Rantakaulio
Scheduling groups
- TRY23SA (Capacity: 30. Open UAS: 0.)
- TRY23SB (Capacity: 30. Open UAS: 0.)
Groups
-
TRY23S1Rakennus- ja yhdyskuntatekniikka (AMK)
-
ZJATRY23S1Avoin amk, Rakennus- ja yhdyskuntatekniikka, Päivä
Small groups
- TRY23SA
- TRY23SB
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 4.9. - 17.11.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Exam-studiossa aikavälillä 23.10. - 30.11.
Arvosanakoe viikolla 46, sen uusintakoe 1 viikolla 48 ja uusintakoe 2 viikolla 2/2024.
Alternative completion methods
Web-based course in Spring 2024 or in Summer 2024
Student workload
Lectures, quided exercises and exam 40 h
Independent work and automatic tests 40 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
Jatkuva palaute: automaattitestit
Läpäisykoe
Arvosanakoe
Bonustehtävä
Avoin AMK 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
04.09.2023 - 17.11.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 92
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Anne Rantakaulio
Groups
-
TKN23SBKonetekniikka (AMK)
-
ZJATKN23S1Avoin amk, Konetekniikka, Päivä
-
ZJATKN23SMAvoin amk, Konetekniikka, Monimuoto
-
TKN23SMKonetekniikka (AMK)
-
TKN23SAKonetekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 4.9. - 17.11.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Exam-studiossa aikavälillä 23.10. -30.11.
Arvosanakoe viikolla 46, sen uusintakoe 1 viikolla 48 ja uusintakoe 2 viikolla 2/2024.
Alternative completion methods
Web-based course in Spring 2024 or in Summer 2024
Student workload
Lectures, quided exercises and exam 40 h
Independent work and automatic tests 40 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
Jatkuva palaute: automaattitestit
Läpäisykoe
Arvosanakoe
Bonustehtävä
Avoin AMK 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 31.05.2024
Timing
28.08.2023 - 31.07.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Teaching languages
- Finnish
Seats
0 - 120
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Construction Management
Teachers
- Anne Rantakaulio
Groups
-
UTIVERKKOInstitute of New Industry, online learning (mechanical, logistics and civil engineering)
-
ZJA23STNOAvoin amk, Tekniikka, Nonstop, Verkko
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 30.8.2023 - 31.7.2024.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material: Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Distance learning, booklet tasks, automatic tests, independent work, learning diary, self assessment, application, exam. Guiding methods: Question column, Zoom-address and Whats'app-group for students.
Exam dates and retake possibilities
Three timetables:
- timetable 1: 30.8.2022 - 10.12.2022 (registration 1.8. - 30.9.; exam online 13.11., re-exam1 27.11., re-exam 2 8.12.)
- timetable 2: 1.10.2022 - 31.5.2023 (registration 1.10. - 28.2.; exam online 6.5., re-exam1 20.5., re-exam 2 27.5.)
- timetable 3: 1.3.2023 - 31.7.2023 (registration 1.3. - 31.7.; exam in Exam Studio 3.7. - 31.7.,arvosanakoe elokuussa myöhemmin ilmoitettavana ajankohtana)
Passing exam in Exam Studio, open according to the time table of the course.
Student workload
This is a nonstop course. Student may enroll to the course during 1.8.-31.5. There are three (3) different time periods inside the nonstop course:
- Course studied by 10.12.
- Course studied by 31.5.
- Course studied by 31.7.
Student chooses the time period in the virtual study environment. Time period should be selected based on students enrollment and study right time. Student can create own time schedule for the assignments and tasks within the selected time period.
The workspace for the first implementation will open on August 30, the second on October 1. and the third 1.3. Registrations are accepted once a week on Mondays. If the virtual study environment has not opened for you within 2 weeks after enrollment, please contact the course teacher.
The calculated workload is the number of credits times 27 hours, so in this course it is 81 hours.
Independent work 77 h
Own application (voluntary, 5 h)
Controlled exam 4 h
Further information for students
Continous feedback: automatic tests
Passing exam
Grading exam
Own application
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
21.08.2023 - 12.11.2023
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 40
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Kalle Niemi
Groups
-
ZJATLS23SMMAvoin amk, Logistiikka, Monimuoto
-
TLS23SMMLogistiikka - tutkinto-ohjelma (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 21.8.2023 - 12.11.2023.
Learning materials and recommended literature
Written material and videos
Literature:
Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Face-to-face learning, e-learning, independent work.
Exam dates and retake possibilities
Exam to pass the course and derermine grade During week 45 (online).
First resit: Week 47 at campus.
Second resit: Week 2/2014 (online)
Exam to pass the course also available in Exam-studio
Alternative completion methods
In spring 2024 the course is available as face-to-face and e-learning implementations.
Student workload
3op * 27h/op = 81op
Face-to-face lessons 16 h
Exams 4h
E-lessons approximately 10h
Independent work 51 h
Content scheduling
Topics will be discussed in the following order:
Basics: Calculations, fractions
Algebra: Power rules, algebra with polynomials
Lines and linear interpolation
Second degree polynomial functions and equations and root equations
Percentage calculations and proportionality
Groups of equations: a pair of equations
Further information for students
Exam in two parts:
- Exam to pass
- Exam for grade
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
21.08.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Seats
0 - 30
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Groups
-
TLP23VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
-
ZJATLP23S1Avoin amk, Purchasing and Logistics Engineering, Päivä
-
TLP23S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 30.10. - 17.12.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
College Algebra 2e (https://openstax.org/details/books/college-algebra-2e)
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Exam Part 1: Core questions in the Exam studio between 20.11.2023 - 7.1.2024 (obligatory)
Exam Part 2: Grading questions in week 50, resit 1 in week 51 and resit 2 in week 2/2024. (optional)
Student workload
Lectures, quided exercises and exam 30 h
Independent work and automatic tests 51 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
automatic tests
Exam Part 1: Core questions (obligatory)
Exam Part 2: Grading questions (grades 2-5)
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2023 - 24.08.2023
Timing
15.08.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 70
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ville Kotimäki
Scheduling groups
- TER23S1 (Capacity: 45. Open UAS: 0.)
- TER23SM (Capacity: 45. Open UAS: 0.)
Groups
-
ZJATER23S1Avoin amk, Energia- ja ympäristötekniikka , päivä
-
TER23S1Energia- ja ympäristötekniikka (AMK)
-
TER23SMEnergia- ja ympäristötekniikka (AMK)
-
ZJATER23SMAvoin amk, Energia- ja ympäristötekniikka , monimuoto
Small groups
- Scheduling group 1
- Scheduling group 2
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Opintojakso toteutetaan 29.8.2022 - 16.10.2022.
Luennot toteutetaan lähiopetuksena sekä live-streamina verkossa.
Laskuharjoitukset lähiopetuksena päivätoteutuksen opiskelijoille ja verkossa monimuotototeutuksen opiskelijoille.
Learning materials and recommended literature
Oppimateriaalina toimivat opettajan valmistelema kirjallinen- ja videomateriaali sekä harjoitustehtävät.
Kurssille sopivia oppikirjoja suomeksi:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Opintojakso koostuu luennoista, ohjatuista laskuharjoituksista, itsenäisestä harjoittelusta ja kokeista.
Exam dates and retake possibilities
Tenttien aikataulut ilmoitetaan ensimmäisellä luennolla.
Student workload
36 h kontaktiopetusta
5 h kokeita
40 h itsenäistä työskentelyä
Content scheduling
Opintojakson aihepiirit käsitellään seuraavassa järjestyksessä:
1. Potenssien laskusäännöt
2. Polynomit ja rationaalilausekkeet
3. Johdatus funktioihin
4. Ensimmäisen asteen yhtälöt
5. Toisen asteen yhtälöt
6. Yhtälöryhmät
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
03.04.2023 - 30.05.2023
Timing
01.05.2023 - 31.07.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Construction Management
Teachers
- Anne Rantakaulio
Groups
-
LOGRAKVERKKOLogistiikan ja rakentamisen verkko-opetus
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 30.8.2022 - 31.7.2023.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material: Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Distance learning, booklet tasks, automatic tests, independent work, learning diary, self assessment, application, exam. Guiding methods: Question column, Zoom-address and Whats'app-group for students.
Exam dates and retake possibilities
Three timetables:
- timetable 1: 30.8. - 10.12.2022 (registration 1.8. - 30.9.; exam online 14.11., re-exam1 28.11., re-exam 2 8.12.)
- timetable 2: 1.10.2022 - 31.5.2023 (registration 1.10. - 28.2.; exam online 2.5., re-exam1 16.5., re-exam 2 30.5.)
- timetable 3: 1.3. - 31.7.2023 (registration 1.3. - 31.7.; exam in Exam Studio 3.7. - 31.7.)
Passing exam in Exam Studio, open according to the time table of the course.
Student workload
This is a nonstop course. Student may enroll to the course during 1.8.-31.5. There are three (3) different time periods inside the nonstop course:
- Course studied by 10.12.
- Course studied by 31.5.
- Course studied by 31.7.
Student chooses the time period in the virtual study environment. Time period should be selected based on students enrollment and study right time. Student can create own time schedule for the assignments and tasks within the selected time period.
The workspace for the first implementation will open on August 30, the second on October 1. and the third 1.3. Registrations are accepted once a week on Mondays. If the virtual study environment has not opened for you within 2 weeks after enrollment, please contact the course teacher.
The calculated workload is the number of credits times 27 hours, so in this course it is 81 hours.
Independent work 77 h
Own application (voluntary, 5 h)
Controlled exam 4 h
Further information for students
Continous feedback: automatic tests
Self-assessment
Passing exam
Grading exam
Own application
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Timing
20.01.2023 - 11.06.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Antti Kosonen
Groups
-
ZJAG22STRAvoin AMK,Korkeakoulupolku, Korkeakoulupolku, Rakennus, Gradia
-
ZJAG22STSAvoin AMK,Korkeakoulupolku,Sähkö- ja automaatiotek, Gradia
-
ZJAG22STVAvoin AMK,Korkeakoulupolku,Tieto-ja viestintätek, Gradia
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 30.1.2023 - 7.5.2023 at Gradia's Viitaniemi campus
Learning materials and recommended literature
Material prepared by teacher
Teaching methods
Contact teaching, independent work
Exam dates and retake possibilities
Will be agreed at the begining of the course
Student workload
3 credits corresponds to 81 hours of work
Content scheduling
Preliminary schedule will presented at the beginning of the course
Further information for students
Final exam in two parts
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.11.2022 - 16.01.2023
Timing
02.01.2023 - 19.05.2023
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 40
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Antti Kosonen
Teacher in charge
Antti Kosonen
Groups
-
TLS23KMMLogistiikka - tutkinto-ohjelma (AMK)
-
ZJATLS23KMMAvoin amk, AMK-polut, Logistiikka, Monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 9.1.2022 - 14.5.2022.
Learning materials and recommended literature
Written material and videos by teacher.
Literature:
Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Face-to-face learning, e-learning, independent work.
Exam dates and retake possibilities
Exam to pass the course: During week 19.
Exam to determine grade: During week 19 (10.5.2023) at 17.00 online.
First resit: 29.5.2023 at 8.00 at campus.
Second resit: 16.8.2023
Alternative completion methods
In spring 2023 the course is available as face-to-face and e-learning implementations.
Student workload
3op * 27h/op = 81op
Face-to-face lessons 16 h
Exams 4h
E-lessons approximately 10h
Independent work 51 h
Content scheduling
Topics will be discussed in the following order:
Basics: Calculations, fractions
Algebra: Power rules, algebra with polynomials
Introduction to functions: The concept of a function, 1st degree polynomial functions
First degree equations: The basic idea of solving equations algebraically
Second degree polynomial functions and equations: Parabolas, solving second degree polynomial equations
Systems of equations: Methods for solving systems of equations, applications
Geometry: Angle measurement, trigonometry of right triangles, some fundamentals of planar and 3D geometry
Further information for students
Exam in two parts:
- Exam to pass
- Exam for grade
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.11.2022 - 05.01.2023
Timing
02.01.2023 - 14.05.2023
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 40
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Antti Kosonen
Teacher in charge
Antti Kosonen
Groups
-
TSA23KMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
-
ZJATSA23KMAvoin amk, AMK-polut, Sähkö-ja automaatiotekniikka, Monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 9.1.2022 - 14.5.2022.
Learning materials and recommended literature
Written material and videos by teacher.
Literature:
Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Face-to-face learning, e-learning, independent work.
Exam dates and retake possibilities
Exam to pass the course: During week 18.
Exam to determine grade: During week 18 (3.5.2023) at 17.00 online.
First resit: 29.5.2023 at 8.00 at campus.
Second resit: 16.8.2023
Alternative completion methods
In spring 2023 the course is available as face-to-face and e-learning implementations.
Student workload
3op * 27h/op = 81op
Face-to-face lessons 10 h
Exams 4h
E-lessons approximately 10h
Independent work approximately 57 h
Content scheduling
Topics will be discussed in the following order:
Basics: Calculations, fractions
Algebra: Power rules, algebra with polynomials
Introduction to functions: The concept of a function, 1st degree polynomial functions
First degree equations: The basic idea of solving equations algebraically
Second degree polynomial functions and equations: Parabolas, solving second degree polynomial equations
Systems of equations: Methods for solving systems of equations, applications
Geometry: Angle measurement, trigonometry of right triangles, some fundamentals of planar and 3D geometry
Further information for students
Exam in two parts:
- Exam to pass
- Exam for grade
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.11.2022 - 10.01.2023
Timing
02.01.2023 - 19.05.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 30
Degree programmes
- Bachelor's Degree Programme in Construction Management
Teachers
- Kalle Niemi
Teacher in charge
Kalle Niemi
Groups
-
ZJATRM23KMMAvoin amk, AMK-polut, Rakennusmestari, Monimuoto
-
TRM23KMMRakennusmestari (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 23.1.2023 - 12.5.2023.
Learning materials and recommended literature
Learning material will be announced at the first meeting of the course.
Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Online and face-to-face learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Face-to-face, hybrid and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2023.
Student workload
3cr = 3 * 27 h = 81h
Content scheduling
Course schedule will presented at the first meeting.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 16.12.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Teaching languages
- Finnish
Seats
0 - 70
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Teaching methods
Avoin AMK erillisryhmä
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 16.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Pekka Varis
Groups
-
TTV22S1Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 50 (24.10.-16.12.) Lutakon kampuksen Dynamolla.
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus 2+2 h/viikko (luentoja ja laskuharjoituksia)
Videoluentoja
Itsenäisiä laskuharjoituksia
Exam dates and retake possibilities
Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Kontaktiopetus noin 25 h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25 h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25 h
Further information for students
Arviointimenetelmä:
Kurssin lopussa pidetään koe. Viikoittaisista kotitehtävistä saa kokeeseen lisäpisteitä.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 16.12.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 140
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
ZJATTV22SMAvoin amk, Tieto- ja viestintätekniikka, Monimuoto
-
TTV22SMTieto- ja viestintätekniikka (AMK)
-
TTV22SM2Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 16.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- English
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Harri Varpanen
Groups
-
TIC22S1Bachelor's Degree Programme in Information and Communications Technology
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Weeks 43-50
Learning materials and recommended literature
Free openly licensed textbooks will be used. Links will be shared in the learning environment Moodle.
Teaching methods
Weekly contact teaching and weekly homework exercises, independent studying from theory material, exams.
Exam dates and retake possibilities
Times of the exams will be given in the first lesson of the course.
Student workload
approx. 30h for lessons and exams
approx. 50h independent studying
Further information for students
Open University of Applied Sciences 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 16.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 30
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Pekka Varis
Groups
-
ZJATTV22S2Avoin amk, Tieto- ja viestintätekniikka, Päivä
-
TTV22S2Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 50 (24.10.-16.12.) Lutakon kampuksen Dynamolla.
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus 2+2 h/viikko (luentoja ja laskuharjoituksia)
Videoluentoja
Itsenäisiä laskuharjoituksia
Exam dates and retake possibilities
Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Kontaktiopetus noin 25 h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25 h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25 h
Further information for students
Arviointimenetelmä:
Kurssin lopussa pidetään koe. Viikoittaisista kotitehtävistä saa kokeeseen lisäpisteitä.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 16.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV22S3Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 50 (24.10.-16.12.2022) Lutakon kampuksen Dynamolla
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus 3+2 h/viikko (luentoja ja laskuharjoituksia)
Itsenäisiä laskuharjoituksia
Automaattitestejä
Exam dates and retake possibilities
Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Kontaktiopetus noin 30h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Arviointimenetelmä:
Opintojaksoon liittyy pakollisia kotitehtäviä ja välitestejä. Arviointi tehdään opintojakson päätteeksi olevalla läpäisytestillä ja arvosanakokeella. Läpäisytestiin ja arvosanakokeeseen voi osallistua, jos opintojakson pakolliset suoritteet on hyväksytysti tehty. Läpäisytesteillä saa arvosanan 1. Korkeampi arvosana edellytttää arvosanakokeeseen osallistumista.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Avoin AMK 5 paikkaa
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 16.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 30
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TTV22S5Tieto- ja viestintätekniikka (AMK)
-
ZJATTV22S5Avoin amk, Tieto- ja viestintätekniikka, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Avoin AMK polkuopiskelijat: 5 paikkaa
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 16.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV22S4Tieto- ja viestintätekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Toteutus on viikoilla 43 - 50 (24.10.-16.12.2022) Lutakon kampuksen Dynamolla
Learning materials and recommended literature
Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus 3+2 h/viikko (luentoja ja laskuharjoituksia)
Itsenäisiä laskuharjoituksia
Automaattitestejä
Exam dates and retake possibilities
Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä.
Alternative completion methods
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
Kontaktiopetus noin 30h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Arviointimenetelmä:
Opintojaksoon liittyy pakollisia kotitehtäviä ja välitestejä. Arviointi tehdään opintojakson päätteeksi olevalla läpäisytestillä ja arvosanakokeella. Läpäisytestiin ja arvosanakokeeseen voi osallistua, jos opintojakson pakolliset suoritteet on hyväksytysti tehty. Läpäisytesteillä saa arvosanan 1. Korkeampi arvosana edellytttää arvosanakokeeseen osallistumista.
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Avoin AMK 5 paikkaa
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
24.10.2022 - 31.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 65
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Ida Arhosalo
Teacher in charge
Pasi Lehtola
Groups
-
ZJATSA22S1Avoin amk, Sähkö- ja automaatiotekniikka, Päivä
-
TSA22SR1Sähkö- ja automaatiotekniikka (AMK)
-
TSA22SR2Sähkö- ja automaatiotekniikka (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
24.10.2020 - 16.12.2020
Learning materials and recommended literature
Kurssin työtilasta liittyvä kirjallinen sekä videoina oleva materiaali. Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa.
Teaching methods
Kontaktiopetus, joka sisältää sekä luennointia että laskuharjoituksien laskemista. Osa laskuharjoituksista tehdään kotitehtävinä. Lisäksi kontaktituntien ulkopuolella opiskelija perehtyy kirjalliseen teoriamateriaaliin ja opetusvideoihin.
Exam dates and retake possibilities
Ainakin joitakin osasuorituksia tehdään Exam-tenttistudiossa.
Student workload
Kontaktiopetus noin 30h
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Suositellaan valitsemaan myös opintojakso Mat1 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 31.05.2023
Timing
30.08.2022 - 31.07.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 103
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
Teachers
- Anne Rantakaulio
Teacher in charge
Anne Rantakaulio
Groups
-
ZJA23KTNO3Avoin amk, Nonstop 3, Verkko
-
LOGRAKVERKKOLogistiikan ja rakentamisen verkko-opetus
-
ZJA22STNO1Avoin amk, Nonstop 1, Verkko
-
ZJA22STNO2Avoin amk, Nonstop 2, Verkko
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 30.8.2022 - 31.7.2023.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material: Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Distance learning, booklet tasks, automatic tests, independent work, learning diary, self assessment, application, exam. Guiding methods: Question column, Zoom-address and Whats'app-group for students.
Exam dates and retake possibilities
Three timetables:
- timetable 1: 30.8. - 10.12.2022 (registration 1.8. - 30.9.; exam online 14.11., re-exam1 28.11., re-exam 2 8.12.)
- timetable 2: 1.10.2022 - 31.5.2023 (registration 1.10. - 28.2.; exam online 2.5., re-exam1 16.5., re-exam 2 30.5.)
- timetable 3: 1.3. - 31.7.2023 (registration 1.3. - 31.7.; exam in Exam Studio 3.7. - 31.7.)
Passing exam in Exam Studio, open according to the time table of the course.
Student workload
This is a nonstop course. Student may enroll to the course during 1.8.-31.5. There are three (3) different time periods inside the nonstop course:
- Course studied by 10.12.
- Course studied by 31.5.
- Course studied by 31.7.
Student chooses the time period in the virtual study environment. Time period should be selected based on students enrollment and study right time. Student can create own time schedule for the assignments and tasks within the selected time period.
The workspace for the first implementation will open on August 30, the second on October 1. and the third 1.3. Registrations are accepted once a week on Mondays. If the virtual study environment has not opened for you within 2 weeks after enrollment, please contact the course teacher.
The calculated workload is the number of credits times 27 hours, so in this course it is 81 hours.
Independent work 77 h
Own application (voluntary, 5 h)
Controlled exam 4 h
Further information for students
Continous feedback: automatic tests
Self-assessment
Passing exam
Grading exam
Own application
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
29.08.2022 - 16.10.2022
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Energy and Environmental Technology
Teachers
- Antti Kosonen
Scheduling groups
- Päiväryhmä TER22S1 (Capacity: 50. Open UAS: 0.)
- Monimuotoryhmä TER22SM (Capacity: 50. Open UAS: 0.)
Groups
-
TER22S1Energia- ja ympäristötekniikka (AMK)
-
TER22SMEnergia- ja ympäristötekniikka (AMK)
-
ZJATER22S1Avoin amk, Energia- ja ympäristötekniikka
-
ZJATER22SMAvoin amk, Energia- ja ympäristötekniikka , monimuoto
Small groups
- Pienryhmä 1
- Pienryhmä 2
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
This course is implemented 29.8.2022 - 16.10.2022.
Lectures will be streamed online.
Guided exercises will be held at campus or online depending on the implementation of your degree programme.
Learning materials and recommended literature
Written material, video material and exercises prepared by teacher.
Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Lectures, guided exercises, independent work, exams.
Exam dates and retake possibilities
Exam to pass the course will be done independently during the course in e-exam studio or as a more traditional supervised exam during week 41, depending on the implementation of your degree programme.
The grade-determining exam will take place during week 41.
First resit 9.11.
Second resit 30.11.
Alternative completion methods
Face-to-face, hybrid and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2023.
Student workload
For six weeks:
Lectures 2 * 45 min
Exercises (depending on programme): 3 * 45 min or 2 * 45 min
Additionally:
Exams approximately 4 h
Independent work approximately 55 - 60 h
Content scheduling
Themes will be discussed in the following order (one week / theme):
1. Power Rules
2. Polynomials and Rational Expressions
3. Introduction to Functions
4. First Degree Polynomial Equations
5. Second Degree Polynomial Equations
6. Systems of Equations
Further information for students
Assessment is based on two-part final exam and exercises.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 11.11.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Kalle Niemi
Scheduling groups
- TLS22SA (Capacity: 30. Open UAS: 0.)
- TLS22SB (Capacity: 30. Open UAS: 0.)
Groups
-
TLS22S1Logistiikka - tutkinto-ohjelma (AMK)
-
ZJATLS22S1Avoin amk, Logistiikka, Päivä
Small groups
- TLS22SA
- TLS22SB
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 12.9.2022 - 11.11.2022.
Learning materials and recommended literature
Learning material will be announced at the first meeting of the course.
Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Online and face-to-face learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Face-to-face, hybrid and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2023.
Student workload
3cr = 3 * 27 h = 81h
Content scheduling
Course schedule will presented at the first meeting.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 11.11.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Seats
0 - 30
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Kalle Niemi
Groups
-
TLP22S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
-
ZJATLP22S1Avoin amk, Purchasing and Logistics Engineering, Päivä
-
TLP22VKBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 29.8.2022 - 28.10.2022.
Learning materials and recommended literature
Learning material will be announced at the first meeting of the course.
Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Online and face-to-face learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Face-to-face, hybrid and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2023.
Student workload
3cr = 3 * 27 h = 81h
Content scheduling
Course schedule will presented at the first meeting.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 11.11.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Groups
-
TAR22S1Bachelor's Degree Programme in Automation and Robotics
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 29.8.2022 - 28.10.2022.
Learning materials and recommended literature
Learning material will be announced at the first meeting of the course.
Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Online and face-to-face learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Face-to-face, hybrid and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2023.
Student workload
3cr = 3 * 27 h = 81h
Content scheduling
Course schedule will presented at the first meeting.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 21.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Construction and Civil Engineering
Teachers
- Anne Rantakaulio
Teacher in charge
Anne Rantakaulio
Scheduling groups
- TRY22SA (Capacity: 30. Open UAS: 0.)
- TRY22SB (Capacity: 30. Open UAS: 0.)
Groups
-
ZJATRY22S1Avoin amk, Rakennus- ja yhdyskuntatekniikka, Päivä
-
TRY22S1Rakennus- ja yhdyskuntatekniikka (AMK)
Small groups
- TRY22SA
- TRY22SB
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 12.9. - 25.11.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Passing exam in Exam-studio in 24.10. - 9.12.
Grading exam in week 47, retake 1 in week 49 end retake 2 in week 2/2023.
Alternative completion methods
Web-based course in Spring 2023 or in Summer 2023
Student workload
Lectures, quided exercises and exam 40 h
Independent work and automatic tests 40 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
Jatkuva palaute: automaattitestit
Itsearviointi
Läpäisykoe
Arvosanakoe
Bonustehtävä
Avoin AMK 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 21.12.2022
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 50
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Kalle Niemi
Teacher in charge
Kalle Niemi
Groups
-
ZJATLS22SMMAvoin amk, Logistiikka, Monimuoto
-
TLS22SMMLogistiikka - tutkinto-ohjelma (AMK)
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 29.8.2022 - 11.11.2022.
Learning materials and recommended literature
Learning material will be announced at the first meeting of the course.
Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.
Teaching methods
Online and face-to-face learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Face-to-face, hybrid and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2023.
Student workload
3cr = 3 * 27 h = 81h
Content scheduling
Course schedule will presented at the first meeting.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.08.2022 - 25.08.2022
Timing
15.08.2022 - 31.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 100
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Anne Rantakaulio
Teacher in charge
Anne Rantakaulio
Groups
-
ZJATKN22SMAvoin amk, Konetekniikka, Monimuoto
-
TKN22S1Konetekniikka (AMK)
-
TKN22SMKonetekniikka (AMK)
-
ZJATKN22S1Avoin amk, Konetekniikka, Päivä
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 12.9. - 18.11.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Exam-studiossa aikavälillä 24.10. - 2.12.
Arvosanakoe viikolla 47, sen uusintakoe 1 viikolla 49 ja uusintakoe 2 viikolla 2/2023.
Alternative completion methods
Web-based course in Spring 2023 or in Summer 2023
Student workload
Lectures, quided exercises and exam 40 h
Independent work and automatic tests 40 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information for students
Jatkuva palaute: automaattitestit
Itsearviointi
Läpäisykoe
Arvosanakoe
Bonustehtävä
Avoin AMK 5
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Timing
01.02.2022 - 04.05.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Antti Kosonen
Groups
-
ZJA21STGKAvoin amk, Korkeakoulupolkuopinnot, Gradia, Konetekniikka
-
ZJA21STGLAvoin amk, Korkeakoulupolkuopinnot, Gradia, Logistiikka
-
ZJA21STGRAvoin amk, Korkeakoulupolkuopinnot, Gradia, Rakennus-ja yhdyskuntatekniikka
-
ZJA21STGSAvoin amk, Korkeakoulupolkuopinnot, Gradia, Sähkö-ja automaatiotekniikka
-
ZJA21STGTAvoin amk, Korkeakoulupolkuopinnot, Gradia, Tieto- ja viestintätekniikka
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
The course is implemented 1.2.2022 - 4.5.2022 at Gradia's Viitaniemi campus
Learning materials and recommended literature
Material prepared by teacher
Teaching methods
Contact teaching, independent work
Exam dates and retake possibilities
Will be agreed at the begining of the course
Student workload
3 credits corresponds to 81 hours of work
Content scheduling
Preliminary schedule will presented at the beginning of the course
Further information for students
Final exam in two parts
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.11.2021 - 09.01.2022
Timing
10.01.2022 - 20.05.2022
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Antti Kosonen
Teacher in charge
Antti Kosonen
Groups
-
TSA22KMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Opintojakso toteutetaan 10.1.2022 - 12.3.2022.
Learning materials and recommended literature
Opettajan laatima kirjallinen materiaali ja videomateriaali.
Teaching methods
Kontaktiopetus, verkko-opetus, itsenäinen opiskelu
Exam dates and retake possibilities
Läpäisykoe 11.3.2022
Arvosanakoe 12.3.2022
Uusintakokeiden ajankohdat sovitaan aloitustapaamisessa.
Student workload
3op * 27h/op = 81op
Content scheduling
Opintojaksolla sisältö käsitellään seuraavassa järjestyksessä:
Perusteet: Luvuilla laskemisen ja laskujärjestyssääntöjen kertaus, geometrian perusteita
Algebraa: Potenssien laskusännöt, polynomit, lausekkeiden sieventäminen
Johdatus funktioihin: Suoran yhtälö, lineaariset mallit, trigonometriset funktiot
Ensimmäisen asteen yhtälöt: Algebrallisen yhtälönratkaisun perusajatus
Toisen asteen polynomifunktiot ja -yhtälöt: Paraabelin yhtälö, toisen asteen yhtälön ratkaiseminen
Yhtälöryhmät: Yhtälöryhmien ratkaisumenetelmiä ja sovelluksia
Further information for students
Osaamista arvioidaan kaksiosaisella loppukokeella.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.11.2021 - 17.01.2022
Timing
03.01.2022 - 30.05.2022
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 40
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Antti Kosonen
Teacher in charge
Antti Kosonen
Groups
-
TLS22KMMLogistiikan tutkinto-ohjelma (AMK)
-
ZJA22KTPMLAvoin AMK, tekniikka, Logistiikka, monimuoto
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Opintojakso toteutetaan 10.1.2022 - 30.3.2022.
Learning materials and recommended literature
Opettajan laatima kirjallinen materiaali ja videomateriaali.
Teaching methods
Kontaktiopetus, verkko-opetus, itsenäinen opiskelu
Exam dates and retake possibilities
Loppukoe maaliskuun lähipäivien yhteydessä
Uusintakokeet huhtikuun jo toukokuun lähipäivien yhteydessä.
Student workload
3op * 27h/op = 81h
Content scheduling
Opintojaksolla sisältö käsitellään seuraavassa järjestyksessä:
Perusteet: Luvuilla laskemisen ja laskujärjestyssääntöjen kertaus, geometrian perusteita
Algebraa: Potenssien laskusännöt, polynomit, lausekkeiden sieventäminen
Johdatus funktioihin: Suoran yhtälö, lineaariset mallit, trigonometriset funktiot
Ensimmäisen asteen yhtälöt: Algebrallisen yhtälönratkaisun perusajatus
Toisen asteen polynomifunktiot ja -yhtälöt: Paraabelin yhtälö, toisen asteen yhtälön ratkaiseminen
Yhtälöryhmät: Yhtälöryhmien ratkaisumenetelmiä ja sovelluksia
Further information for students
Osaamisen arviointiin käytetään kaksiosaista loppukoetta.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
02.08.2021 - 05.09.2021
Timing
25.10.2021 - 08.02.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Ville Sivil
Teacher in charge
Anne Rantakaulio
Scheduling groups
- TLS21SA (Capacity: 40. Open UAS: 0.)
- TLS21SB (Capacity: 40. Open UAS: 0.)
Groups
-
ZJA21STPPLOAvoin amk, tekniikka, Logistiikka päivä
-
TLS21SBLogistiikan tutkinto-ohjelma (AMK)
-
TLS21S1Logistiikan tutkinto-ohjelma (AMK)
Small groups
- TLS21SA
- TLS21SB
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 25.10. - 10.12.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Lectures face-to-face, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Schedule will be agreed on the first contact lesson of the course.
Alternative completion methods
Web-based course in Spring 2022 or in Summer 2023
Student workload
Lectures, quided exercises and exam 40 h
Independent work and automatic tests 41 h
Content scheduling
Will be agreed on the first contact lesson of the course.
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.
Enrollment
01.10.2021 - 31.05.2022
Timing
01.10.2021 - 30.08.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Anne Rantakaulio
Teacher in charge
Anne Rantakaulio
Groups
-
ZJA21STAvoin AMK, tekniikka
-
LOGAKTIIVILogistiikan aktiivitoteutukset
-
ZJA22KTAvoin AMK, tekniikka
Objectives
Course purpose
During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.
Course competences
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.
Content
In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.
Most important contents are:
- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content
Time and location
Course is implemented between 1.10.2021 - 30.8.2022.
Learning materials and recommended literature
Videos in the learning environment, text files, automatic tests
Extra material: Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1
Teaching methods
Online studies, booklet tasks, automatic tests, independent work, personal time table and guiding, learning diary, self assessment, application, exam.
Exam dates and retake possibilities
Several test times, test guidelines in Moodle. The course must be completed no later than 30.8.2022.
Student workload
Independent work 73 h
Personal time table, guiding, learning diary and self assessment 5 h
Own application (voluntary, 5 h)
Controlled exam 3 h
Content scheduling
More detailed instructions for personal time table will be introduced on the introduction video of the course.
Further information for students
Avoin AMK 10
Campus Online 20
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Grade 1
You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.
Grade 2
You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Evaluation criteria, good (3-4)
Grade 3
You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.
Grade 4
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.
Evaluation criteria, excellent (5)
Grade 5
You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.
Prerequisites
You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.
Further information
The course is well suited to be taken before the beginning of studies in technology. The course also offers good mathematical competencies for studies in other fields than technology. The course is offered also in the open university of applied sciences.