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Basics of engineering mathematics (3 cr)

Code: TY00EL03-3056

General information

Enrollment

02.01.2023 - 15.01.2023

Timing

02.01.2023 - 24.02.2023

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Department of Forestry and Environmental Technology

Campus

Mikkeli Campus

Teaching languages

  • Finnish

Seats

20 - 40

Degree programmes

  • Degree Programme in Building Services Engineering

Teachers

  • Pia Valtonen

Teacher in charge

Pia Valtonen

Scheduling groups

  • Ryhmä A (Size: 25. Open UAS: 0.)
  • Ryhmä B (Size: 25. Open UAS: 0.)

Groups

  • TTMI23KM
    Building Services Engineering, part-time studies

Small groups

  • Ryhmä A
  • Ryhmä B

Objective

You know how to calculate using different mathematical relations.
You are able to calculate using fraction numbers and relations.
You understand the concept of a function.
You know how to solve different types of first and second degree equations.
You are able to handle the mathematical and the graphical representations of a line.
You can solve systems of linear equations in two variables.
You know how to simplify and calculate with different exponent relations.
You are able to calculate with radical expressions.
You are able to handle the mathematical and the graphical representations of a second degree polynomial function.
You know how to calculate with polynomials and how to factor them.
You know how to solve the right hand triangles.
You are familiar with the basics of calculations related to percentages.

Content

How to simplify mathematical relations?
How to calculate and simplify fraction numbers and relations?
What is the meaning of a function and its graph? What are the zeros? How to draw functions?
How to solve different linear equations?
What is the meaning of a line mathematically speaking? What are the slope and the y-intercept point?
How to solve systems of linear equations in two variables?
How to simplify exponent relations? What are the calculation rules of exponents?
How to simplify radical relations?
How to solve the second-degree polynomial equation?
How to use the information about the discriminant? How to draw the parabola?
How to calculate using polynomials? How to factor polynomials?
How to solve right hand triangles?
How to solve problems related to percentages?

Opiskelumateriaali

Oppikirja: Tuomenlehto ym, Insinöörin matematiikka. EDITA
Kaavakirja: Tekniikan kaavasto. Tammertekniikka tai MAOL-kaavakirja.
Lisäksi kurssin Learn-sivulla ja tunneilla jaettu materiaali.

Yksilölliset oppimisväylät

Työviikkopohjainen oppimisväylä:
Työjärjestyksen mukainen lähiopetus, harjoitustehtävät sekä mahdolliset palautettavat harjoitystyöt.

TKI ja työelämäyhteistyö

Ei ole.

Tentit ja muut määräajat

Opintojakson mahdollisilla välikokeilla tai tentillä. Koko kurssin kattavaa tenttiä saa uusia 2 kertaa.

Opiskelijan työmäärä

Kurssi on viiden opintopisteen laajuinen, joka vastaa 135 tuntia työskentelyä.

Evaluation scale

1-5

Assessment methods and criteria

Arvionti perustuu menestykseen välikokeissa tai tentissä.
Mahdollinen harjoitustyö on suoritettava hyväksytysti.