Professional studies

Teaching language


Type of course


Cycle/level of course


Recommended year of study


Total number of ECTS

5 cr

Competency aims

The aim of the course is to build up a
mathematical basis for further studies in
mathematics and physics

Learning outcomes

Upon successful completion of the course the
student is expected to
- be able to deal with real and complex numbers
- know elementary functions and their graphs
- be able to solve equations, inequalities and
systems of equations

Course contents

The Rectangular Coordinate Systems
Linear Equations in One Variable

Linear Equations in One Variable
Quadratic Equations

Other Types of Equations
Linear inequalities and absolute value

Functions and Function Notation
Domain and Range
Rates of Change and Behavior of Graphs
Inverse Functions

Linear Functions
Modeling with Linear Functions
Fitting Linear Models to Data

Quadratic Functions
Power Functions and Polynomial Functions
Graphs of Polynomial Functions
Dividing Polynomials

Exponential Functions
Graphs of Exponential Functions
Exponential and Logarithmic Equations

Logarithmic Functions
Graphs of Logarithmic Functions
Exponential and Logarithmic Equations

Right Triangle Trigonometry

Unit Circle
The Other Trigonometric Functions

Graphs of the Sine and Cosine Functions
Inverse Trigonometric Functions

Non-right Triangles: Law of Sines
Non-right Triangles: Law of Cosines

Prerequisites and co-requisites

Basic knowledge of mathematics

Previous course names

Mathematics 1

Additional information


Recommended or required reading

Study activities

  • Lectures - 30 hours
  • Individual- and group instruction - 12 hours
  • Individual studies - 93 hours


  • Total workload of the course: 135 hours
  • Of which autonomous studies: 135 hours
  • Of which scheduled studies: 0 hours

Mode of Delivery

Participation in tuition

Assessment methods

Exams (written-, oral-, home-)

Assessment requirements

Passed examination


Skön Kim


Skön Kim

Group size

No limit

Assignments valid until

12 months after course has ended

Assessment methods

Date of examination will be announced later - Exams

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