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mat991 - Mathematics for Economists II (Complete module description)
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Module label Mathematics for Economists II
Module code mat991
Credit points 6.0 KP
Workload 180 h
Institute directory Department of Mathematics
Applicability of the module
  • Bachelor's Programme Business Administration and Law (Bachelor) > Aufbaubereich Wirtschaftswissenschaften
  • Bachelor's Programme Business Informatics (Bachelor) > Aufbaucurriculum-Wahlbereich Mathematik
  • Bachelor's Programme Economics and Business Administration (Bachelor) > Vertiefungsbereich
  • Bachelor's Programme Sustainability Economics (Bachelor) > Aufbaumodule
Responsible persons
May, Angelika (Module responsibility)
May, Angelika (Authorized examiners)
Prerequisites
Skills to be acquired in this module
The students internalize advanced mathematical methods, know applications in economics and can provide solutions.

Professional competence
The students:
  • are proficient in the quantitative methods relevant to economics
  • know vector spaces and die rings
  • master the differential calculus for n variables
  • can determine extreme points with general constraints
  • can solve special homogeneous and inhomogeneous differential equations.

Methodological competence
The students:
  • analyse complex interrelationships
  • understand the formal mathematical language
  • structure problems from the economic sciences and find independent solutions.

Social competence
The students:
  • construct solutions to given problems in groups
  • accept criticism and see it as an aid.

Self-competence
The students:
  • reflect their actions in establishing solutions
  • deepen the presented mathematical concepts in exercises and add them to their actions.
Module contents
n-dimensional vector spaces, linear maps, matrix and vector algebra (determinant, inverse matrix, eigenvalues and eigenvectors), linear systems of equations and their economic application.
Functions of n variables), tools for comparative static (chain rules, implicit differentiation along a level curve, elasticity of substitution), multivariate optimization with and without constraints (necessary and sufficient conditions), general constraints, Kuhn-Tucker conditions.
Integration, Differential and ordinary differential equations with solution methods for special types.
Reader's advisory
Sydsaeter, Knut und P. Hammond mit A. Ström: Mathematik für Wirtschaftswissenschaftler, Pearson Education, 4. akt. Auflage 2013.
Sydsaeter, K., P. Hammond, A. Seierstad, A. Ström: Further Mathematics for Economic Analysis,
Prentice Hall / Pearson Education, 2nd ed. 2008.
Karmann, Alexander: Mathematik für Wirtschaftswissenschaftler, Oldenbourg Verlag, 6. Aufl. 2008.
Simon, C. and L. Blume: Mathematics for Economists, International Student Edition 2010.
Links
Language of instruction German
Duration (semesters) 1 Semester
Module frequency annual
Module capacity unlimited
Modullevel / module level AM (Aufbaumodul / Composition)
Modulart / typ of module je nach Studiengang Pflicht oder Wahlpflicht
Lehr-/Lernform / Teaching/Learning method
Vorkenntnisse / Previous knowledge Vorkenntnisse aus dem Vorläufer-Modul mat990 werden empfohlen.
Course type Comment SWS Frequency Workload of compulsory attendance
Lecture
2 WiSe 28
Exercises
2 WiSe 28
Total time of attendance for the module 56 h
Examination Time of examination Type of examination
Final exam of module
written exam (90-120 minutes)

Bonus points can be earned.