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Mathematics

Module name (EN): Mathematics
Degree programme: International Business, Bachelor, ASPO 01.10.2017
Module code: BIBW-140
Hours per semester week / Teaching method: 4V (4 hours per week)
ECTS credits: 5
Semester: 1
Mandatory course: yes
Language of instruction:
English/German
Assessment:
Written exam (90 minutes / can be repeated semesterly)

[updated 14.03.2018]
Applicability / Curricular relevance:
BIBW-140 International Business, Bachelor, ASPO 01.10.2013, semester 1, mandatory course
BIBW-140 International Business, Bachelor, ASPO 01.10.2017, semester 1, mandatory course
Workload:
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
BIBW-230 Statistics
BIBW-320 Investment and Financing


[updated 26.02.2018]
Module coordinator:
Prof. Dr. Teresa Melo
Lecturer: Prof. Dr. Teresa Melo

[updated 01.10.2017]
Learning outcomes:
After successfully completing this module students will:
 
- be able to model economic problems in the language of mathematics,
- be able to explain the basic formalities of differential and integral calculus, as well as matrix calculus,
- be able to test fundamental mathematical methods of analysis and linear algebra using examples,
 
- have mastered basic concepts and calculation methods of financial mathematics with regard to interest, annuity and sinking fund calculations,
 
- be able to model and solve economic linear programming problems,
 
- be able to demonstrate the properties and possible applications of mathematical methods and assess their limits,
- be able to economically interpret and implement the results obtained by means of mathematical methods,
 
- have developed analytical skills by independently solving tasks in the subject area.
 
 


[updated 04.02.2020]
Module content:
Differential calculus:
-        Functions of a variable, differentiation rules
-        Application of differential calculus to
         basic business functions
-        Functions with several variables, partial derivatives,
         extreme values with and without consideration of constraints
Integral calculus
-        Root functions, elementary integration rules
-        Special integration techniques: integration by parts, substitution
-        Specific integral and economic applications of integral calculus
Elements of financial mathematics:
-        Interest-rate models
-        Annuity calculation
-        Sinking fund calculation
Basics of linear algebra:
-        Description of business processes using
         matrices (e. g. production processes)
-        Elementary calculations with matrices, matrix multiplication
-        Creation of linear systems of equations and solution methods (e. g.  
         Gauss algorithm)
Linear programming:
-        Creating models for business problems (e. g.
         production, logistics, marketing, investment)
-        Graphical solution method for solving linear programming models
-        Simplex method and economic interpretation of optimal solutions
 


[updated 04.02.2020]
Teaching methods/Media:
Lecture and discussion in a large group using transparencies (projectors) and the blackboard (theory and example calculations).
The lecture will be supplemented by exercises and tutorials. In order to support independent work, a large number of exercise sheets covering the wide range topics in this module will be provided. Afterwards, the solutions will be discussed with the students.
Both the lecture notes and the exercise sheets will be available to students in electronic form.


[updated 14.03.2018]
Recommended or required reading:
Gohout, Operations Research: Einige ausgewählte Gebiete der linearen und nichtlinearen Optimierung_, 4. erw. Auflage, Oldenbourg Verlag, 2009
Karmann, Mathematik für Wirtschaftswissenschaftler, 6. Auflage, Oldenbourg Verlag, München/Wien, 2008
Luderer, Einstieg in die Wirtschaftsmathematik, 8. überarb. u. erw. Auflage, Vieweg+ Teubner, Wiesbaden, 2011
Salomon/Poguntke, Wirtschaftsmathematik, 2. Auflage, Fortis Verlag, Köln, 2003
Sydsaeter/Hammond, Mathematik für Wirtschaftswissenschaftler: Basiswissen mit Praxisbezug, 3. Auflage, Pearson Studium, München, 2008
Tietze, Einführung in die angewandte Wirtschaftsmathematik, 15. Auflage, Vieweg, Wiesbaden, 2010
Tietze, Einführung in die Finanzmathematik - Klassische Verfahren und neuere Entwicklungen: Effektivzins- und Renditeberechnung, Investitionsrechnung, Derivative Finanzinstrumente, 10. aktualisierte Auflage, Vieweg+Teubner, Wiesbaden, 2010
Werners, Grundlagen des Operations Research mit Aufgaben und Lösungen, 2. Auflage, Springer, Berlin/Heidelberg, 2008
Zimmermann: Operations Research: Methoden und Modelle für Wirtschaftsingenieure, Betriebswirte, Informatiker, 2. Auflage, Vieweg, Wiesbaden, 2008
English literature:
Hillier, Lieberman: Introduction to Operations Research, 9th edition, McGraw Hill Higher Education, 2010
Simon, Blume: Mathematics for Economists, W.W. Norton Company, New York, London, 1994
Sydsæter, Hammond: Essential Mathematics for Economic Analysis; 3rd edition, Prentice Hall, 2008
Sydsæter, Hammond, Seierstad, Strøm: Further Mathematics for Economic Analysis, 2nd edition, Prentice Hall, 2008
Winston: Operations Research: Applications and Algorithms, 4th edition, Duxbury Press 2004


[updated 14.03.2018]
[Thu Dec  2 14:11:43 CET 2021, CKEY=imj, BKEY=ibw3, CID=BIBW-140, LANGUAGE=en, DATE=02.12.2021]