Czech

Not applicable.

The subject is focused on precise mathematical formulation of economic models and at the same time appropriate economic interpretation of these models.

Microeconomics, Macroeconomics, Mathematics I, Mathematics II

Not applicable.

The lectures are in the form of lectures which have the character of interpretation of basic principles, methodology of given discipline and problems. The main emphasis is put on explaining the essence of each method and its general characteristics.

Students will obtain credit based on successful presentation of seminar paper on a chosen topic.

EXAM: The form of the exam is written and the teacher reserves the right to the oral examination. The maximum number of points in the exam is 100 points, and the student must earn at least 50 points in order to obtain a rating of at least E..

1. Basic principles of economic analysis and modeling
2. Demand, supply, multipliers for microeconomic variables
3. Optimization
4. Models of national economy, multipliers for macroeconomic variables
5. Discrete dynamic systems - differential equations
6. Mathematical modeling of dynamic balance - discrete dynamic spider model
7. Continuous dynamic systems of repetition and deepening of basic concepts of differential equations theory
8. Continuous dynamic systems
9. Mathematical modeling of dynamic balance - continuous dynamic spider model
10. Continuous dynamic systems - Walras's model of general equilibrium
11. Continuous Ddnamic systems - Solow's growth model
12. Continuous Dynamic Systems - Philips Model for a Closed Economy
13. Business cycle models

Not applicable.

Students will learn the basics of continuous and discontinuous dynamic models in economics. Mathematical models are used to create selected differential and differential equations of first and second order. The aim of the course is to introduce continuous and discrete economic dynamic systems with an emphasis on mathematical formulation, economic interpretation and verification of results. Mathematical theory is illustrated by examples of dynamic systems in economic theory

Not applicable.

Not applicable.

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ALLEN, R. G. D. Matematická ekonomie. Přeložil Martin ČERNÝ. Praha: Academia, 1971.

CHIANG, A. C. Fundamental methods of mathematical economics. 3rd ed. New York: McGraw-Hill, 1984. ISBN 0-07-010813-7.
POLOUČKOVÁ, A. a E. OŠŤÁDALOVÁ. Diferenciální a diferenční rovnice. Ostrava: Vysoká škola báňská - Technická univerzita, 2003. ISBN 80-248-0267-8.