mat991 - Mathematics for Economists II (Complete module description)

# 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 competenceThe students:are proficient in the quantitative methods relevant to economicsknow vector spaces and die ringsmaster the differential calculus for n variables can determine extreme points with general constraintscan solve special homogeneous and inhomogeneous differential equations.Methodological competenceThe students:analyse complex interrelationshipsunderstand the formal mathematical language structure problems from the economic sciences and find independent solutions.Social competenceThe students:construct solutions to given problems in groupsaccept criticism and see it as an aid.Self-competenceThe students:reflect their actions in establishing solutionsdeepen 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.