Course content

- Arithmetic, algebra and graphic presentation.
- Calculation with percents.
- Equations and inequalities.
- Functions of one variable: polynomial and rational functions, exponential functions and logarithmic functions.
- Asymptotes.
- Limits and continuity.
- Differentiation and analysis of functions.
- Application of differentiation, including problems related to maximum, minimum and elasticities.
- Sequences and series.
- Finance mathematics.

Learning outcome

Knowledge:
The candidate shall
1. know the relationship between abstract mathematical models and
real, concrete problems in business and market analysis.
2. have a holistic understanding of the problems mentioned under skills,
and know different solution strategies where relevant.
3. know what average and marginal cost tell about profitability.

Skills:
The candidate shall
1. be able to compute interest and financial problems using exponential
and logarithmic functions as well as geometric series.
2. be able to solve cost and income problems based on linear and
quadratic functions.
3. be able to solve equilibrium problems using equations.
4. be able to analyse and discuss polynomial functions, incl.
differentiation, optimisation and identification of zeroes.
5. be able to use algebraic formulations to make general conclusions.

The candidate should
5. be able to discuss and analyse rational, exponential and logarithmic
functions.
6. be able solve abstract and algebraic problems within the areas listed
above.
7. be able to transfer the listed solution techniques to new classes of
problems.

Competence:
The candidate shall
1. be able to communication with and within mathematics.
2. be able to mathematise, i.e. find soluble mathematical forumlations
for real problems.

Learning methods and activities

Pedagogical methods:

Various active learning activities, incl. cooperative learning, individual exercises, discussions in class and in groups, as well as action-reflection learning.

Compulsory assignment:
Selected exercises (individual and group work) wil be compulsory.

Mandatory assignments from 2018 or later must be approved to gain admission to the exam.

Compulsory assignments

• Mandatory assignment
• Mandatory assignment

Specific conditions

Recommended previous knowledge

General admission

Required previous knowledge

General admission