PřF:M9301 Mathematical economy - Course Information
M9301 Mathematical economy
Faculty of ScienceSpring 2025
- Extent and Intensity
- 2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: k (colloquium).
- Teacher(s)
- prof. RNDr. Jan Paseka, CSc. (lecturer)
- Guaranteed by
- prof. RNDr. Jan Paseka, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Prerequisites
- OBOR ( MFINPOJ )&& SEMESTR ( 4 )
Basic notions from linear algebra and mathematical analysis (Bc. course). - Course Enrolment Limitations
- The course is offered to students of any study field.
The capacity limit for the course is 1 student(s).
Current registration and enrolment status: enrolled: 0/1, only registered: 0/1, only registered with preference (fields directly associated with the programme): 0/1 - Course objectives
- The basic goal of the lecture is the introduction of the student to mathematical methods in the economical theory. Some applications of mathematical economy are mentioned.
- Learning outcomes
- At the end of learning period of the course, student:
* understands and uses the basic mathematical models of mathematical economy
* is able to analyze specific situations leading to an equilibrium and to determine preference relations of agents of the economy
* is able to propose a procedure for dealing with short- and long-term optimization of the firm. - Syllabus
- Introduction.
- Individual and society.
- Goods, consumers.
- Arrow's theorem.
- Utility function and Pareto optimality.
- Models of economics.
- Coalitions, cooperative games, nucleus of economics.
- Economics and equilibrium.
- Individual demands.
- Equilibria, their exactness and number.
- Production.
- Production sets and the existence of competitive equilibrium.
- Marginal analysis.
- Literature
- Handbook of mathematical economics. Edited by Kenneth J. Arrow - Michael D. Intriligator. 5th imp. Amsterdam: North-Holland, 1994, 378 s. ISBN 0444861262. info
- Handbook of mathematical economics. Edited by Michael D. Intriligator - Kenneth J. Arrow. 5th imp. Amsterdam: North-Holland, 1993, s. 379-107. ISBN 0444861270. info
- Handbook of mathematical economics. Edited by Michael D. Intriligator - Kenneth J. Arrow. 2nd imp. Amsterdam: North-Holland, 1989, s. 1070-15. ISBN 0444861289. info
- VOŠVRDA, Miloslav S. Teoretická ekonomie. 1. vyd. Praha: Karolinum, 1994, 191 s. ISBN 80-7066-857-1. info
- Nikaido H., Vypuklyje struktury i matematičeskaja ekonomika, vol. II, Mir, Moskva 1972
- Ekland I., Elementy matematičeskoj ekonomiki, Mir, Moskva 1983
- Teaching methods
- Lecture with a seminar. Lectures are supported by reading and moderated group discussions.
- Assessment methods
- Examination is via colloquium. Students will be asked to participate actively in seminars and to do a written homework satisfying usual publication standards (citations, references) that will be lectured at some seminar. The theme will be chosen after the negotiation with the lecturer.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught once in two years.
The course is taught: every week. - Teacher's information
- ftp://www.math.muni.cz/pub/math/people/Paseka/lectures/
The lessons are usually in Czech or in English as needed, and the relevant terminology is always given with English equivalents. The target skills of the study include the ability to use the English language passively and actively in their own expertise and also in potential areas of application of mathematics. Assessment in all cases may be in Czech and English, at the student's choice.
- Enrolment Statistics (Spring 2025, recent)
- Permalink: https://is.muni.cz/course/sci/spring2025/M9301