Real FunctionsLaajuus (3 ECTS)

Objective

On completion of the course students understand the concept of a function, will be able to form the graph of a function and know the most common real functions.

Content

1. Concept of function and Graphs
2. Polynomials
3. Trigonometric functions
4. Exponent and logarithm functions
5. Composed functions and inverse functions

Assessment criteria, satisfactory (1)

- The student understands the concept of a function.
- The student can draw a graph of a given function and is able to obtain graphical solutions of equations.
- The student is able to analytically solve equations related to real functions in content items 2-4.

Assessment criteria, good (3)

- As level 1.
- The student knows basic properties of real functions and their character as models of the real world.
- The student understands the concept of a composite function.

Assessment criteria, excellent (5)

- As level 3.
- The student knows challenging applications related to functions.
- The student understands the criteria for the existence of an inverse function and is able to construct it in particular cases.