Mathematics, Tourism, HTW Chur, Thomas Borer, 2017/18

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

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