mat991 - Mathematics for Economists II (Complete module description)

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

Lehrveranstaltungsform	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.