mat990 - Mathematics for Economists (Complete module description)

Module label	Mathematics for Economists
Module code	mat990
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) > Basiscurriculum Wirtschaftswissenschaften Bachelor's Programme Business Informatics (Bachelor) > Aufbaucurriculum-Wahlbereich Mathematik Bachelor's Programme Economics and Business Administration (Bachelor) > Basismodule Bachelor's Programme Sustainability Economics (Bachelor) > Grundlagen-/Basiscurriculum Dual-Subject Bachelor's Programme Economics and Business Administration (Bachelor) > Basismodule
Responsible persons	Lehrenden, Die im Modul (authorised to take exams) Modulverantwortlichen, Die (authorised to take exams) May, Angelika (module responsibility)
Prerequisites
Skills to be acquired in this module	Students internalize basic mathematical concepts and methods from analysis and matrix calculation and their applications in economics. Professional competence The students: are proficient in the mathematical fundamentals relevant to economics master methods for solving equations and inequalities master differential calculus for one and two variables and can integrate are able to reliably determine local and global extreme points for functions of one and two variables. Methodological competence The students: analyse formal contexts understand the formal mathematical language structure problems from the economic sciences and justify their 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	Basics in real Arithmetic, Rules for Matrix Arithmetic Linear equations, linear inequalities and systems of those, quadratic equations, financial mathematics (interest rates and present values, pension calculation) Calculus for functions of one variable: derivation rules for power functions, exp and ln, indefinite integral, applications of integral calculus (density function, ordinary differential equations), single-variable optimization (stationary points, extreme-value theorem, local and global extreme points), Approximation methods (linear approximation, Taylor series with Lagrange remainder) Functions of two variables (partial derivatives, total differential), Tools for comparative statics : (elasticity of substitution, homogeneous and homothetic functions), multivariable optimization tasks (local and global extremes, extremes under constraints)
Recommended reading	Kursbuch: Sydsaeter, K.; Hammond, P. & Böker, F. (2010): Mathematik für Wirtschaftswissenschaftler. München: Pearson. Begleitend: Karmann, A. (2008): Mathematik für Wirtschaftswissenschaftler (6. Aufl.). München: Oldenbourg. Unger, T. & Demps, S. (2010): Lineare Optimierung. Wiesbaden: Vieweg. Dempe, S. & Schreier, H. (2006): Operations Research. Wiesbaden: Vieweg.
Links	www.uni-oldenburg.de/wire
Language of instruction	German
Duration (semesters)	1 Semester
Module frequency	annual
Module capacity	unlimited
Reference text
Type of module	Wahlpflicht / Elective
Module level	AM (Aufbaumodul / Composition)
Teaching/Learning method	Vorlesung + Übung

Type of course	SWS	Frequency	Workload of compulsory attendance
Lecture	2	WiSe	28
Exercises	2	WiSe	28
Total module attendance time			56 h

Examination	Prüfungszeiten	Type of examination
Final exam of module	zum Ende der Vorlesungszeit	written exam