Information on individual educational components (ECTS-Course descriptions) per semester

Degree programme: Bachelor International Business Part-time
Type of degree: FH Bachelor´s Degree Programme
Part-time
Winter Semester 2021

Course unit title Business Mathematics
Course unit code 025027010201
Language of instruction Deutsch
Type of course unit (compulsory, optional) Compulsory
Semester when the course unit is delivered Winter Semester 2021
Teaching hours per week 3
Year of study 2021
Number of ECTS credits allocated First Cycle (Bachelor)
Number of ECTS credits allocated 4
Name of lecturer(s) Eugen RIGGER


Prerequisites and co-requisites

None


Course content

Repetition of fundamental mathematics

  • fractional arithmetic,
  • exponentiation and - percentage calculations.

Functions and equations

  • linear functions,
  • quadratic functions,
  • root finding,
  • derivatives,
  • integrals,
  • systems of linear equations and
  • growth functions.

Application to mathematical finance

  • interest rate calculation,
  • economic functions,
  • present value and internal rate of return and
  • annuity and amortisation.

Learning outcomes

Knowledge

  • Students are able to calculate basic derivatives and integrals.
  • Students are able to connect the content of the course with basic economic functions (demand, cost, profit, income).
  • Students know how to specify fundamental principles of mathematical finance.

Comprehension

  • Students have a command of the essential mathematical operations (fractional arithmetic, exponentiation, equations) for problem description in mathematical finance.
  • Students have the ability to derive the characteristic equations for the present value, the internal rate of return and annuity and amortisation. Application
  • Students are able to solve basic mathematical problems in the domain of fractional arithmetic and exponentiation.
  • Students know how to manage calculations concerning linear and quadratic equations. 
  • Students are able to resolve fundamental problems in the field of mathematical finance, i.e. interest rate, percentage, present value, and annuity derivation.

Planned learning activities and teaching methods

Lecture and independent exercises within the course


Assessment methods and criteria

Comprehensive written examination Permitted writing aids: non-programmable calculator, and a two-sided formulary (A4).


Comment

None


Recommended or required reading

Albrecht, Peter (2014): Finanzmathematik für Wirtschaftswissenschaftler: Grundlagen, Anwendungsbeispiele, Fallstudien, Aufgaben und Lösungen. Stuttgart: Schäffer-Poeschel.

Arrenberg, Jutta (2012): Wirtschaftsmathematik für Bachelor. Konstanz: UVK Verlagsgesellschaft.

Asano, Akihito (2013): An Introduction to Mathematics for Economics. Cambridge: Cambridge University Press.

Hass, Otto; Fickel, Norman (2006): Finanzmathematik: finanzmathematische Methoden der Investitionsrechnung. München: R. Oldenbourg Verlag.

Kahle, Egbert; Lohse, Dieter (1992): Grundkurs Finanzmathematik. München: R. Oldenbourg Verlag.

Salomon, Ehrenfried; Poguntke, Werner (2003): Wirtschaftsmathematik. Troisdorf: Fortis-Verlag.


Mode of delivery (face-to-face, distance learning)

Mandatory