Siirry suoraan sisältöön

Mat1 Yhtälöt (3 cr)

Code: TZLM1300-3068

General information


Enrollment

01.08.2022 - 25.08.2022

Timing

29.08.2022 - 16.10.2022

Number of ECTS credits allocated

3 op

Virtual portion

2 op

Mode of delivery

34 % Face-to-face, 66 % Online learning

Unit

Teknologiayksikkö

Campus

Pääkampus

Teaching languages

  • Finnish

Seats

0 - 60

Degree programmes

  • Energia- ja ympäristötekniikka (AMK)

Teachers

  • Antti Kosonen

Scheduling groups

  • Päiväryhmä TER22S1 (Paikkoja: 50. Open UAS: 0.)
  • Monimuotoryhmä TER22SM (Paikkoja: 50. Open UAS: 0.)

Groups

  • TER22S1
    Energia- ja ympäristötekniikka (AMK)
  • TER22SM
    Energia- ja ympäristötekniikka (AMK)
  • ZJATER22S1
    Avoin amk, Energia- ja ympäristötekniikka
  • ZJATER22SM
    Avoin amk, Energia- ja ympäristötekniikka , monimuoto

Small groups

  • Päiväryhmä TER22S1
  • Monimuotoryhmä TER22SM

Objective

Course purpose

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

Course competences

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

Learning outcomes

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

Content

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

Location and time

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.

Oppimateriaali ja suositeltava kirjallisuus

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 schedules

Exam to pass the course will be done independently during the course in e-exam studio or as a more traditional supervised exam during week 41, depending on the implementation of your degree programme.

The grade-determining exam will take place during week 41.

First resit 9.11.
Second resit 30.11.

Vaihtoehtoiset suoritustavat

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

Student workload

For six weeks:

Lectures 2 * 45 min

Exercises (depending on programme): 3 * 45 min or 2 * 45 min


Additionally:

Exams approximately 4 h

Independent work approximately 55 - 60 h

Content scheduling

Themes will be discussed in the following order (one week / theme):
1. Power Rules
2. Polynomials and Rational Expressions
3. Introduction to Functions
4. First Degree Polynomial Equations
5. Second Degree Polynomial Equations
6. Systems of Equations

Further information

Assessment is based on two-part final exam and exercises.

Evaluation scale

0-5

Arviointikriteerit, tyydyttävä (1-2)

Grade 1

You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.

Grade 2

You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.

Arviointikriteerit, hyvä (3-4)

Grade 3

You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.

Grade 4

You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.

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.

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.

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.