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040100 VO Mathematics 2 (2020S)

6.00 ECTS (3.00 SWS), SPL 4 - Wirtschaftswissenschaften

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Es findet ein freiwilliges Tutorium (Georgi Atanasov) statt: MI wtl von 04.03.2020 bis 24.06.2020 18.30-20.00 Ort: Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß

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Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Monday 02.03. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 09.03. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 30.03. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 20.04. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 27.04. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 11.05. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 18.05. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 25.05. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 08.06. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday 15.06. 13:15 - 16:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

The lecture is concerned with differential calculus for functions of several variables, convex analysis, and static optimization techniques (unconstrained, equality-constrained, and inequality-constrained problems)
as well as their application in business and economics.

Contents:
1. Introduction: optimization problems in business and economics
2. Differential calculus for functions of several variables
(real valued functions of several variables, some basics terms of topoloy, partial derivatives, derivative, tangent plane, gradient, vector functions, Jacobian, chain rule, directional derivatives, total differential, geometric interpretation of the gradient, second derivatives, Hessian, second directional derivative)
3. Convexity
(convex sets, convex and concave functions in several variables)
4. Optimization of scalar valued functions
(stationary points, second order conditions, comparative statics, envelope theorem)
Inverse and implicit functions
5. Optimization with equality constraints: Lagrange's method
(first and second order conditions, interpretation of the Lagrange multipliers, conditions for global optima, quasiconcavity and quasiconvexity, economic applications)
6. Nonlinear programming
(convex programs, Kuhn-Tucker conditions, constraint qualifications, saddle point condition)
7. Linear programming
(model formulation, assumptions underlying a linear planning model, graphic solution of two-variable programs, basic solutions, characterization of the sets of feasible and optimal solutions, simplex method, formal structure of the simplex tabelaus, alternative optimal solutions, duality, complementary slackness, economic interpretation of the dual programme, interpretation of a computer solution)

Assessment and permitted materials

written exam about the topics discussed in the lecture

Permitted materials for the exam:
No documents (neither notes nor formularies) are allowed. A simple, non-programmable calculator, without matrix operations, which does not plot graphs, solve equations, and does not compute derivatives or integrals is allowed.

Please note that mobile phones, smart watches etc. must be out of reach during the exam.

For more information please visit
http://homepage.univie.ac.at/andrea.gaunersdorfer/teaching/mathe2.html

Minimum requirements and assessment criteria

see German webpage

Examination topics

see German webpage

Reading list

A. Gaunersdorfer, Mathematik 2 - Optimierung in den Wirtschaftswissenschaften, Skriptum, Februar 2020.

Association in the course directory

Last modified: Mo 07.09.2020 15:19