Math1 Equations (TZLM1300)

Math1 Equations, 3 cr - TZLM1300

Math1 Equations (TZLM1300-3065), 30.08.2022 – 31.07.2023,
3 cr (ZJA23KTNO3, ...) — Online learning + -
Language of instruction

Finnish

Timing

30.08.2022 - 31.07.2023

Lecturer(s)

Anne Rantakaulio

Planned learning activities, teaching methods and guidance

Distance learning, booklet tasks, automatic tests, independent work, learning diary, self assessment, application, exam. Guiding methods: Question column, Zoom-address and Whats'app-group for students.

Learning materials and recommended literature

Videos in the learning environment, text files, automatic tests
Extra material: Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1

Campus

Main Campus

Exam dates and re-exam possibilities

Three timetables:
- timetable 1: 30.8. - 10.12.2022 (registration 1.8. - 30.9.; exam online 14.11., re-exam1 28.11., re-exam 2 8.12.)
- timetable 2: 1.10.2022 - 31.5.2023 (registration 1.10. - 28.2.; exam online 2.5., re-exam1 16.5., re-exam 2 30.5.)
- timetable 3: 1.3. - 31.7.2023 (registration 1.3. - 31.7.; exam in Exam Studio 3.7. - 31.7.)

Passing exam in Exam Studio, open according to the time table of the course.

Learning assignments and 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

Enrollment

01.08.2022 - 31.05.2023
Groups
- ZJA23KTNO3
- LOGRAKVERKKO
- ZJA22STNO1
- ZJA22STNO2
Seats

0 - 103

Assessment methods

Continous feedback: automatic tests

Self-assessment

Passing exam

Grading exam

Own application

Degree Programme

Bachelor's Degree Programme in Logistics, Bachelor's Degree Programme in Construction and Civil Engineering

Mode of delivery

Online learning

Share of virtual studies

3 cr

Unit

School of Technology
Math1 Equations (TZLM1300-3066), 02.01.2023 – 19.05.2023,
3 cr (TLS23KMM, ...) — Face-to-face, Online learning + -
Language of instruction

Finnish

Timing

02.01.2023 - 19.05.2023

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

Face-to-face learning, e-learning, independent work.

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.

Campus

Main Campus

Exam dates and re-exam 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

Learning assignments and student workload

3op * 27h/op = 81op

Face-to-face lessons 16 h
Exams 4h
E-lessons approximately 10h
Independent work 51 h

Enrollment

01.11.2022 - 16.01.2023

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
Groups
- TLS23KMM
- ZJATLS23KMM
Alternative learning methods

In spring 2023 the course is available as face-to-face and e-learning implementations.

Seats

0 - 40

Assessment methods

Exam in two parts:

- Exam to pass

- Exam for grade

Degree Programme

Bachelor's Degree Programme in Logistics

Mode of delivery

Face-to-face, Online learning

Share of virtual studies

2 cr

Unit

School of Technology
Math1 Equations (TZLM1300-3070), 02.01.2023 – 14.05.2023,
3 cr (TSA23KM, ...) — Face-to-face, Online learning + -
Language of instruction

Finnish

Timing

02.01.2023 - 14.05.2023

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

Face-to-face learning, e-learning, independent work.

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.

Campus

Main Campus

Exam dates and re-exam 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

Learning assignments and student workload

3op * 27h/op = 81op

Face-to-face lessons 10 h
Exams 4h
E-lessons approximately 10h
Independent work approximately 57 h

Enrollment

01.11.2022 - 05.01.2023

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
Groups
- TSA23KM
- ZJATSA23KM
Alternative learning methods

In spring 2023 the course is available as face-to-face and e-learning implementations.

Seats

0 - 40

Assessment methods

Exam in two parts:

- Exam to pass

- Exam for grade

Degree Programme

Bachelor's Degree Programme in Electrical and Automation Engineering

Mode of delivery

Face-to-face, Online learning

Share of virtual studies

2 cr

Unit

School of Technology
Math1 Equations (TZLM1300-3074), 02.01.2023 – 19.05.2023,
3 cr (ZJATRM23KMM, ...) — Face-to-face + -
Language of instruction

Finnish

Timing

02.01.2023 - 19.05.2023

Lecturer(s)

Kalle Niemi

Planned learning activities, teaching methods and guidance

Online and face-to-face learning, guided exercises and independent work.

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.

Campus

Main Campus

Exam dates and re-exam possibilities

Will be announced at the first meeting of the course.

Learning assignments and student workload

3cr = 3 * 27 h = 81h

Enrollment

01.11.2022 - 10.01.2023

Content scheduling

Course schedule will presented at the first meeting.
Groups
- ZJATRM23KMM
- TRM23KMM
Alternative learning methods

Face-to-face, hybrid and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2023.

Seats

0 - 30

Degree Programme

Bachelor's Degree Programme in Construction Management

Mode of delivery

Face-to-face

Unit

School of Technology
Math1 Equations (TZLM1300-3077), 20.01.2023 – 11.06.2023,
3 cr (ZJAG22STR, ...) — Face-to-face + -
Language of instruction

Finnish

Timing

20.01.2023 - 11.06.2023

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

Contact teaching, independent work

Learning materials and recommended literature

Material prepared by teacher

Exam dates and re-exam possibilities

Will be agreed at the begining of the course

Learning assignments and student workload

3 credits corresponds to 81 hours of work

Content scheduling

Preliminary schedule will presented at the beginning of the course
Groups
- ZJAG22STR
- ZJAG22STS
- ZJAG22STV
Assessment methods

Final exam in two parts

Degree Programme

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

Mode of delivery

Face-to-face

Unit

School of Technology
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Course purpose

During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.

Course competences

EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.

Learning outcomes

After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.

Most important contents are:

- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content

Course material is described during the implementation.

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.

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.

0-5

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.

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.

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.

Math1 Equations, 3 cr - TZLM1300

Upcoming implementations