Functions and Matrices (3 cr)

Objectives (course unit)

Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems

Content (course unit)

Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.

Prerequisites (course unit)

Orientation for engineering mathematics or similar skills.

Exam schedules

KOE ti 8.12 klo 1130 - 1300, H2-26, ei vaadi ilmoittautumista
UUSINTA ke 20.1 klo 1700 - 2000, D1-04, tenttiWilho
UUSINTA ke 10.2 klo 1700 - 2000, D1-04, tenttiWilho (VAIN TÄMÄ ARVOSANAN KOROTTAMISEEN)

Evaluation methods and criteria

Exam

Assessment scale

0-5

Teaching methods

Contact teaching, written homework

Learning materials

E-book, see the Tabula-pages of the course

Content scheduling

1. Aloitus + (Lukujoukot ja välit) + Funktion määritelmä + Yhdistetty funktio
2. Funktion kuvaaja + Yhtälön ratkaiseminen graafisesti + 1. ja 2. asteen polynomifunktio
3. Potenssifunktio + Potenssiyhtälö
4. Rationaalifunktio + Rationaaliyhtälö
5. Trigonometrinen funktio + Trigonometrinen yhtälö (Suunnattu kulma + Yksikköympyrä)
6. Eksponenttifunktio + Eksponenttiyhtälö
7. Logaritmifunktio + Logaritmiyhtälö
8. Matriisin määritelmä ja merkinnät + Matriisien yhteenlasku + Matriisien kertominen reaaliluvulla
9. Matriisitulo
10. Matriisitulo + Determinantti
11. Käänteismatriisi + Lineaarinen yhtälöryhmä
12.
13. Kertaus
14. Tentti

Further information

Attendance not required

Assessment criteria - satisfactory (1-2) (Not in use, Look at the Assessment criteria above)

The student is able to use the basic content of the course and solve simple applications, that are similar to the assigments covered in the course.

Assessment criteria - good (3-4) (Not in use, Look at the Assessment criteria above)

In addition to former, the student is able to apply the content of the course to different situations and judge the solutions.

Assessment criteria - excellent (5) (Not in use, Look at the Assessment criteria above)

In addition to former, the student has a throughout view of the contents of the course and applications and the studen can present and judge the chosen methods of solution.