## General objectives

Formal and operational mathematical thinking is important in both industrial
and economic contexts. Acquiring mathematical knowledge not only widens one’s
horizons but also leads to developing innovative ideas and interdisciplinarity.

The mathematics course is focused on the needs of various modules within the
tourism bachelor programme such as statistics and economics, where knowledge
of mathematics is required for a large number of applications.

The students are expected to be able to

- perform the basic arithmetic operations.
- recall the basics of function theory.
- solve linear equations and linear systems of equations.
- graphically display parabolas.
- solve simple quadratic equations.
- perform logarithmic operations.
- apply simple interest, compound interest, and annuity calculation to exemplary
tasks.
- explain the basic terms of differential and integral calculus.
- differentiate polynomial and exponential functions.
- apply differential calculus with respect to curve discussions to exemplary tasks in economics.
- calculate marginal cost, revenue, and profit functions by means of differential calculus.
- recognise integration as the inverse operation of differentiation.
- integrate basic algebraic functions.
- apply integral calculus with respect to exemplary tasks in economics.
- calculate the consumer's and the producer's surplus by means of integral calculus.

19.8.2015 tb