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Mathematics

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
International Tourism-Management, Bachelor, ASPO 01.10.2008
Module code: BAITM-140
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
4V (4 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
6
Semester: 1
Mandatory course: yes
Language of instruction:
German
Assessment:
Written examination

[updated 20.03.2010]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

BAITM-140 International Tourism-Management, Bachelor, ASPO 01.10.2008 , semester 1, mandatory course
Workload:
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 180 hours (equivalent to 6 ECTS credits).
There are therefore 135 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
BAITM-240 Statistics and market research
BAITM-410 Investment and financing


[updated 15.02.2011]
Module coordinator:
Prof. Dr. Enrico Lieblang
Lecturer:
Prof. Dr. Enrico Lieblang


[updated 19.07.2012]
Learning outcomes:
After completing this course, students will
 - be able to assess and compare capital flow using various interest models (particular attention will be paid to annuity and amortization models);
 - have acquired a command of the basic formalisms of differential calculus, in particular its use to determine extrema of single and multi-variate functions;
 - understand and be able to solve standard problems in linear optimization.

[updated 20.03.2010]
Module content:
Financial mathematics
 - Interest models
 - Conversion and evaluation of capital flows
 - Computation of annuities and amortization
Differential calculus
 - Fundamental elements of set theory and logic
 - The concept of function; rules of differentiation
 - Application of differential calculus to basic functions in business economics
 - Multivariate functions, partial derivatives, extrema and constraints
Linear optimization
Solving systems of linear equations: Gauss algorithm
Solving systems of linear inequalities: simplex method

[updated 20.03.2010]
Teaching methods/Media:
Lecture: lecturer-centred format involving classroom presentation of theory and working through selected examples
Problem-solving class: self-directed problem solving with subsequent discussion of the solutions
Transcript of lecture, problem sheets and solutions are available as electronic files

[updated 20.03.2010]
Recommended or required reading:
- Salomon/Poguntke: Wirtschaftsmathematik, Fortis Verlag, Köln 1999
- Schwarze: Mathematik für Wirtschaftswissenschaftler: Herne/ Berlin 1996
- Preuß-Wenisch, Lehr und Übungsbuch Mathematik, Leipzig 1998
- Hoffmann: Mathematische Grundlagen für Betriebswirte, 6. Auflage.Verlag Neue Wirtschaftsbriefe, Herne / Berlin 2002
- Tietze: Einführung in die Finanzmathematik, 4. Auflage, Vieweg-Verlag, Braunschweig / Wiesbaden 2001
- Purkert: Brückenkurs Mathematik für Wirtschaftswissenschaftler, Stuttgart/Leipzig 1997

[updated 20.03.2010]
 
[Fri May  3 20:29:02 CEST 2024, CKEY=imf, BKEY=itm, CID=BAITM-140, LANGUAGE=en, DATE=03.05.2024]