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040100 VO Mathematics 2 (2025S)

6.00 ECTS (3.00 SWS), SPL 4 - Wirtschaftswissenschaften

ON-SITE

Um Zugriff zu den Unterlagen in Moodle zu erhalten, melden Sie sich bitte via U:Space für die VO an.

Mo 03.03. 13:15-14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

N Monday 03.03. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 04.03. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 10.03. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 11.03. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 17.03. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 18.03. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 24.03. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 25.03. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 31.03. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 01.04. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 07.04. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 08.04. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 28.04. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 29.04. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 05.05. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 06.05. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 12.05. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 13.05. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 19.05. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 20.05. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 26.05. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 27.05. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 02.06. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 03.06. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Tuesday 10.06. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 16.06. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 17.06. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 23.06. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 24.06. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
Monday 30.06. 13:15 - 14:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 01.07. 15:00 - 18:15 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Hörsaal 14 Oskar-Morgenstern-Platz 1 2.Stock
Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock

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.

For more information see the German webpage.

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 and the UE

Permitted materials for the exam:
- Handwritten A4 sheet;
- 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 it is not allowed to have any WiFi or Bluetooth capable devices with you.
Mobile phones, smart watches etc. must be out of reach and switched off 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 2024.
(Korrekturen und Ergänzungen zu älteren Auflagen des Skriptums werden in Moodle zur Verfügung gestellt.)

Weitere Literaturhinweise finden Sie im Skriptum, in Moodle und unter
http://homepage.univie.ac.at/andrea.gaunersdorfer/teaching/mathe2.html

Association in the course directory

Last modified: Fr 10.01.2025 00:01