Siirry suoraan sisältöön

Mat1 Yhtälöt (3 cr)

Code: TZLM1300-3074

General information


Enrollment

01.11.2022 - 10.01.2023

Timing

02.01.2023 - 19.05.2023

Number of ECTS credits allocated

3 op

Mode of delivery

Face-to-face

Unit

Teknologiayksikkö

Campus

Pääkampus

Teaching languages

  • Finnish

Seats

0 - 30

Degree programmes

  • Rakennusmestari (AMK)

Teachers

  • Kalle Niemi

Teacher in charge

Kalle Niemi

Groups

  • ZJATRM23KMM
    Avoin amk, AMK-polut, Rakennusmestari, Monimuoto
  • TRM23KMM
    Rakennusmestari (AMK)
  • 03.04.2023 18:00 - 19:00, Mat1 Yhtälöt TZLM1300-3074
  • 12.04.2023 08:00 - 10:15, Mat1 Yhtälöt TZLM1300-3074
  • 17.04.2023 18:00 - 19:30, Mat1 Yhtälöt TZLM1300-3074
  • 19.04.2023 16:30 - 19:00, Mat1 Yhtälöt TZLM1300-3074
  • 24.04.2023 12:30 - 14:00, Mat1 Yhtälöt TZLM1300-3074
  • 27.04.2023 16:30 - 19:00, Mat1 Yhtälöt TZLM1300-3074
  • 08.05.2023 15:00 - 16:30, Mat1 Yhtälöt TZLM1300-3074
  • 10.05.2023 16:30 - 19:00, Mat1 Yhtälöt TZLM1300-3074

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

The course is implemented 23.1.2023 - 12.5.2023.

Oppimateriaali ja suositeltava kirjallisuus

Learning material will be announced at the first meeting of the course.

Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.

Teaching methods

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

Exam schedules

Will be announced at the first meeting of the course.

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

3cr = 3 * 27 h = 81h

Content scheduling

Course schedule will presented at the first meeting.

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.