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
EURACE: 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
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
 Degreeprogramrelated 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
0  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
EURACE: 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
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
 Degreeprogramrelated 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 verkkoohjaus
Exam dates and retake possibilities
Kokeen ajankohta julkaistaan oppimisympäristössä opintojakson alussa. Kokeen voi tehdä paikan päällä tai etänä.
Student workload
verkkoohjaukset 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
EURACE: 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
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
 Degreeprogramrelated content
Learning materials and recommended literature
Teachercreated 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 problemsolving, 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. Firstdegree equations
5. Introduction to functions, lines
6. Seconddegree 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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  tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Examstudiossa aikavälillä 10.3.  30.5.
Arvosanakoe viikolla 16, sen uusintakoe 1 viikolla 18 ja uusintakoe 2 viikolla 21.
Alternative completion methods
Webbased 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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)
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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Examstudiossa aikavälillä 10.3.  30.5.
Arvosanakoe viikolla 18, sen uusintakoe 1 viikolla 19 ja uusintakoe 2 viikolla 21.
Alternative completion methods
Webbased 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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, Sähköja 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, Sähköja 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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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) vaihtoopiskelu/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
EURACE: 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
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
 Degreeprogramrelated 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/collegealgebra2e)
Teaching methods
Lectures facetoface 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 25)
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
Weeks 4350
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 resit2. After this, coursework returns are no longer accepted and the incomplete course must be retaken 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 midterm tests. Assessment will be by means of an endofcourse 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 resit2. After this, coursework returns are no longer accepted and the incomplete course must be retaken 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 midterm tests. Assessment will be by means of an endofcourse 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
Weeks 4350
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 resit2. After this, coursework returns are no longer accepted and the incomplete course must be retaken 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 midterm tests. Assessment will be by means of an endofcourse 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 resit2. After this, coursework returns are no longer accepted and the incomplete course must be retaken 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 midterm tests. Assessment will be by means of an endofcourse 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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, Sähköja 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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
viikot 4350 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 Examtenttistudiossa.
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 resit2. After this, coursework returns are no longer accepted and the incomplete course must be retaken 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 elearning environment.
Further information for students
Assessment methods:
The course includes compulsory assignments, homework and midterm tests. Assessment will be by means of an endofcourse 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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, Sähköja 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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
viikot 4350 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 Examtenttistudiossa.
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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  tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
September 9, 2024  December 15, 2024
Learning materials and recommended literature
Teachercreated 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 problemsolving 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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
Facetoface 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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)

ZJATKN24SMAvoin amk, Konetekniikka, Monimuoto

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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Examstudiossa aikavälillä 1.10.  9.12.
Arvosanakoe viikolla 46, sen uusintakoe 1 viikolla 48 ja uusintakoe 2 viikolla 50.
Alternative completion methods
Webbased 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
Lainalaskelmaryhmätehtävä
Läpäisykoe
Arvosanakoe
Bonustehtävä
Avoin AMK 5
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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

ZJA23STLVKKAvoin amk,Tekniikka, Korkeakoulupolku, Logistiikka, Valtakunnallinen

UTIVERKKOInstitute of New Industry, online learning (mechanical, logistics and civil engineering)

ZJA25KTNOAvoin amk,Tekniikka, Nonstop, Verkko

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
EURACE: 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
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
 Degreeprogramrelated 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, Zoomaddress 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., reexam1 27.11., reexam 2 8.12.)
 timetable 2: 1.10.2024  31.5.2025 (registration 1.10.  28.2.; exam online 6.5., reexam1 20.5., reexam 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
The course starts on August 26, 2024, and ends on December 22, 2024.
Learning materials and recommended literature
Teachercreated 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 problemsolving, 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. Firstdegree equations
5. Introduction to functions, lines
6. Seconddegree 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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

TLS24SMMLogistiikka  tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
August 19, 2024  November 24, 2024
Learning materials and recommended literature
Teachercreated 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 problemsolving 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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
EURACE: 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
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
 Degreeprogramrelated content
Learning materials and recommended literature
Course material is described during the implementation.
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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
Facetoface 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
EURACE: 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
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
 Degreeprogramrelated 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 verkkoohjaus
Exam dates and retake possibilities
Kokeen ajankohta julkaistaan oppimisympäristössä opintojakson alussa. Kokeen voi tehdä paikan päällä tai etänä.
Student workload
verkkoohjaukset 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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,Tietoja 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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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  tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated 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
Facetoface learning, elearning, 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 facetoface and elearning implementations.
Student workload
3op * 27h/op = 81op
Approximate use of time:
 Facetoface lessons 16 h
 Exams 4h
 Elessons 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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
EURACE: 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
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
 Degreeprogramrelated 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
Facetoface 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
Facetoface 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
Weeks 4351
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
Weeks 4350
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 uusintakoe2: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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
Toteutus on viikoilla 43  51 (23.10.19.12.2023) verkkoopetuksena 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 uusintakoe2: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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
viikot 4350 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 Examtenttistudiossa.
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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  tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Examstudiossa aikavälillä 23.10.  30.11.
Arvosanakoe viikolla 45, sen uusintakoe 1 viikolla 47 ja uusintakoe 2 viikolla 2/2024.
Alternative completion methods
Webbased 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Examstudiossa aikavälillä 23.10.  30.11.
Arvosanakoe viikolla 46, sen uusintakoe 1 viikolla 48 ja uusintakoe 2 viikolla 2/2024.
Alternative completion methods
Webbased 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Examstudiossa aikavälillä 23.10. 30.11.
Arvosanakoe viikolla 46, sen uusintakoe 1 viikolla 48 ja uusintakoe 2 viikolla 2/2024.
Alternative completion methods
Webbased 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
EURACE: 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
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
 Degreeprogramrelated 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, Zoomaddress and Whats'appgroup 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., reexam1 27.11., reexam 2 8.12.)
 timetable 2: 1.10.2022  31.5.2023 (registration 1.10.  28.2.; exam online 6.5., reexam1 20.5., reexam 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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  tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated 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
Facetoface learning, elearning, 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 Examstudio
Alternative completion methods
In spring 2024 the course is available as facetoface and elearning implementations.
Student workload
3op * 27h/op = 81op
Facetoface lessons 16 h
Exams 4h
Elessons 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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) vaihtoopiskelu/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
EURACE: 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
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
 Degreeprogramrelated 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/collegealgebra2e)
Teaching methods
Lectures facetoface 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 25)
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
Opintojakso toteutetaan 29.8.2022  16.10.2022.
Luennot toteutetaan lähiopetuksena sekä livestreamina 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 verkkoopetus
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
EURACE: 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
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
 Degreeprogramrelated 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, Zoomaddress and Whats'appgroup 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., reexam1 28.11., reexam 2 8.12.)
 timetable 2: 1.10.2022  31.5.2023 (registration 1.10.  28.2.; exam online 2.5., reexam1 16.5., reexam 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
Selfassessment
Passing exam
Grading exam
Own application
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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,Tietoja 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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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  tutkintoohjelma (AMK)

ZJATLS23KMMAvoin amk, AMKpolut, 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
EURACE: 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
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
 Degreeprogramrelated 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
Facetoface learning, elearning, 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 facetoface and elearning implementations.
Student workload
3op * 27h/op = 81op
Facetoface lessons 16 h
Exams 4h
Elessons 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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, AMKpolut, Sähköja 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
EURACE: 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
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
 Degreeprogramrelated 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
Facetoface learning, elearning, 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 facetoface and elearning implementations.
Student workload
3op * 27h/op = 81op
Facetoface lessons 10 h
Exams 4h
Elessons 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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, AMKpolut, 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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Facetoface, 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
EURACE: 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
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
 Degreeprogramrelated content
Teaching methods
Avoin AMK erillisryhmä
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
EURACE: 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
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
 Degreeprogramrelated content
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
Weeks 4350
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated content
Time and location
Avoin AMK polkuopiskelijat: 5 paikkaa
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 Examtenttistudiossa.
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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 verkkoopetus

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
EURACE: 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
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
 Degreeprogramrelated 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, Zoomaddress and Whats'appgroup 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., reexam1 28.11., reexam 2 8.12.)
 timetable 2: 1.10.2022  31.5.2023 (registration 1.10.  28.2.; exam online 2.5., reexam1 16.5., reexam 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
Selfassessment
Passing exam
Grading exam
Own application
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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
EURACE: 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
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
 Degreeprogramrelated 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 eexam studio or as a more traditional supervised exam during week 41, depending on the implementation of your degree programme.
The gradedetermining exam will take place during week 41.
First resit 9.11.
Second resit 30.11.
Alternative completion methods
Facetoface, 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 twopart final exam and exercises.
Evaluation scale
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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  tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Facetoface, 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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) vaihtoopiskelu/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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Facetoface, 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Facetoface, 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Passing exam in Examstudio 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
Webbased 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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  tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface learning, guided exercises and independent work.
Exam dates and retake possibilities
Will be announced at the first meeting of the course.
Alternative completion methods
Facetoface, 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface or recordings, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam dates and retake possibilities
Läpäisykoe Examstudiossa aikavälillä 24.10.  2.12.
Arvosanakoe viikolla 47, sen uusintakoe 1 viikolla 49 ja uusintakoe 2 viikolla 2/2023.
Alternative completion methods
Webbased 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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, Rakennusja yhdyskuntatekniikka

ZJA21STGSAvoin amk, Korkeakoulupolkuopinnot, Gradia, Sähköja 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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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
EURACE: 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
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
 Degreeprogramrelated 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, verkkoopetus, 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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 % Facetoface, 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 tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated 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, verkkoopetus, 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
Facetoface
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 tutkintoohjelma (AMK)

TLS21S1Logistiikan tutkintoohjelma (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
EURACE: 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
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
 Degreeprogramrelated 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 facetoface, 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
Webbased 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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
EURACE: 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
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
 Degreeprogramrelated 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
05
Evaluation criteria, satisfactory (12)
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 (34)
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.