On successful completion of the course, students:

• can calculate with matrices and use them as a tool to solve systems of linear equations.
• understand models of linear optimization and can solve them graphically.
• can use series and sequences in financial mathematics problems.
• can calculate simple interest and compound interest.
• understand the concepts of net present value and present value and can apply them mathematically to pensions.
• can derive mathematical functions and solve extreme value problems.

none

The course will cover the following topics/content:

• Basics matrices, linear optimisation, exercises on matrices and linear optimisation
• Introduction to sequences and series (arithmetic, geometric), financial mathematics - linear interest, compound interest;
• Exercises on financial mathematics, financial mathematics - pension calculation; exercises on pension calculation;
• Exercises on pension calculation;
• Differential calculus (difference-, differential quotient, derivation rules, curve discussion), exercises on differential calculus;
• Differential calculus - Applications in the economic sector
• Exercises on differential calculus

Auer, B./ Seitz, F. (2010): Grundkurs Wirtschaftsmathematik. Wiesbaden: Gabler.
Purkert, W. (2001): Brückenkurs Mathematik für Wirtschaftswissenschaftler. Stuttgart/Leipzig/Wiesbaden: Teubner Verlag.
Sydsaeter, K./ Hammond P. (2009): Mathematik für Wirtschaftswissenschaftler, Basiswissen mit Praxisbezug. München: Pearson Studium.
Tietze, J. (2010): Einführung in die angewandte Wirtschaftsmathematik. Wiesbaden: Vieweg+Teubner Verlag.
Tietze, J. (2009): Übungsbuch zur angewandten Wirtschaftsmathematik. Aufgaben, Testklausuren und Lösungen. Wiesbaden: Vieweg+Teubner Verlag.

Lecture, moderated group work, processing of case studies from practice

Cumulative module examination
The module grade is calculated weighted by the ECTS credits of the courses:
ILV "Business Mathematics" - 3 ECTS

• Assessment type: continuous assessment
• Assessment method/s: participation in class, preparation of calculation examples, written final examination