## General objectives

In mathematics education, the in-depth training of thought is of central importance. The ability to think flexibly in terms of form and operations, and create logical connections, is a key success factor in business and industry. Gaining mathematical skills and abilities does not just expand a person's own knowledge. It also leads to the development of innovative ideas and interdisciplinarity, in particular.

When providing mathematical tools, mathematics lessons align with the needs of the modules and courses within the
tourism bachelor programme.

The students are expected to be able to

- perform basic arithmetical operations.
- explain the most elementary concepts of function theory.
- explain the most fundamental characteristics of linear and quadratic functions.
- solve simpler linear equations and linear systems of equations.
- solve simpler quadratic equations.
- logarithmise simpler expressions.
- apply compound interest and annuity calculation in selected simpler examples.
- explain the most elementary concepts of differential calculus.
- derive simpler polynomial functions and the most elementary exponential functions.
- apply differential calculus for curve discussions and minimum/maximum point tasks in selected simpler problems in economic sciences.
- calculate marginal cost, marginal revenue, and marginal profit functions in selected simpler examples using differential calculus.
- explain the most elementary concepts of integral calculus.
- integrate simpler polynomial functions and the most elementary exponential functions.
- calculate the consumer's and the producer's surplus in selected simpler examples using integral calculus.

3.3.2020 tb