Mathematics, Tourism, HTW Chur, Thomas Borer, 2018/19

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 basic arithmetic operations.
• explain the elementary concepts of function theory.
• explain the elementary properties of linear and quadratic functions.
• solve simple linear equations and linear systems of equations.
• solve simple quadratic equations.
• apply logarithmic operations to simple expressions.
• apply compound interest and annuity calculation to exemplary basic tasks.
• explain the elementary concepts of differential calculus.
• differentiate basic polynomial and elementary exponential functions.
• apply differential calculus with respect to curve discussions and optimisation problems to exemplary tasks in economic sciences.
• calculate marginal cost, revenue, and profit functions in exemplary tasks by means of differential calculus.
• explain the elementary concepts of integral calculus.
• integrate basic polynomial and elementary exponential functions.
• calculate the consumer's and the producer's surplus by means of integral calculus.

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