Siirry suoraan sisältöön

Mat1 Yhtälöt (3 cr)

Code: TZLM1300-3070

General information


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 % Face-to-face, 66 % Online learning

Unit

Teknologiayksikkö

Campus

Pääkampus

Teaching languages

  • Finnish

Seats

0 - 40

Degree programmes

  • Sähkö- ja automaatiotekniikka (AMK)

Teachers

  • Antti Kosonen

Teacher in charge

Antti Kosonen

Groups

  • TSA23KM
    Insinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
  • ZJATSA23KM
    Avoin amk, AMK-polut, Sähkö-ja automaatiotekniikka, Monimuoto
  • 29.03.2023 17:00 - 18:00, Mat1 Yhtälöt verkko-ohjaus
  • 05.04.2023 17:00 - 18:00, Mat1 Yhtälöt verkko-ohjaus
  • 12.04.2023 17:00 - 18:00, Mat1 Yhtälöt verkko-ohjaus
  • 19.04.2023 17:00 - 18:00, Mat1 Yhtälöt verkko-ohjaus
  • 21.04.2023 13:15 - 14:45, Mat1 Yhtälöt TZLM1300-3070
  • 26.04.2023 17:00 - 18:00, Mat1 Yhtälöt verkko-ohjaus
  • 03.05.2023 17:00 - 19:30, Mat1 Yhtälöt TZLM1300-3070
  • 03.05.2023 17:00 - 18:00, Mat1 Yhtälöt verkko-ohjaus
  • 12.05.2023 15:45 - 17:15, Mat1 Yhtälöt TZLM1300-3070

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 9.1.2022 - 14.5.2022.

Oppimateriaali ja suositeltava kirjallisuus

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

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

Exam schedules

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

Vaihtoehtoiset suoritustavat

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

Student workload

3op * 27h/op = 81op

Face-to-face lessons 10 h
Exams 4h
E-lessons 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

Exam in two parts:
- Exam to pass
- Exam for grade

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.