mat991 - Mathematics for Economists II (Complete module description)

mat991 - Mathematics for Economists II (Complete module description)

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Module label Mathematics for Economists II
Modulkürzel mat991
Credit points 6.0 KP
Workload 180 h
Institute directory Department of Mathematics
Verwendbarkeit des Moduls
  • 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
Zuständige Personen
  • May, Angelika (module responsibility)
  • May, Angelika (Prüfungsberechtigt)
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.
Literaturempfehlungen
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
Type of module je nach Studiengang Pflicht oder Wahlpflicht
Module level AM (Aufbaumodul / Composition)
Teaching/Learning method Vorlesung + Übung
Previous knowledge Die Inhalte aus mat990 Mathematik für Ökonomen werden vorausgesetzt.
Form of instruction Comment SWS Frequency Workload of compulsory attendance
Lecture 2 WiSe 28
Exercises 2 WiSe 28
Präsenzzeit Modul insgesamt 56 h
Examination Prüfungszeiten Type of examination
Final exam of module
written exam (90-120 minutes)

Bonus points can be earned.