Mathematical problem solving

As it follows from the learning outcomes.

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

1. be able to discuss and analyse rational, exponential and logarithmic functions.
2. be able solve abstract and algebraic problems within the areas listed above.
3. 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 formulations for real problems.
3. know what the can and can't do with mathematics and understand what role mathematics will play in their own studies and career.
4. be able to validate own mathematical solutions and arguments

Pedagogical methods: Composite sessions with group work and practice exercises, and plenary briefing and debriefing. The module emphasises cooperative learning, discussion and action-reflection, and continuous dialog both between students and between students and lecturer.

Compulsory assignment: Selected exercises (individual and group work) will be compulsory. Mandatory assignments from the current or immediately preceding academic year must be approved to gain admission to the exam. The assignments are closely linked to the organised teaching and start shortly after the start of the semester. It is required that the students follow the module from the start of term. Only limited flexibility is possible in the event of illness and similar mitigating circumstances.