#
MU:MU11165 Mathematical Economy I - Course Information

## MU11165 Mathematical Economy I

**Mathematical Institute in Opava**

Winter 2019

**Extent and Intensity**- 2/1/0. 3 credit(s). Type of Completion: z (credit).
**Teacher(s)**- Ing. Mgr. Barbora Volná, Ph.D. (lecturer)

Ing. Mgr. Barbora Volná, Ph.D. (seminar tutor) **Guaranteed by**- Ing. Mgr. Barbora Volná, Ph.D.

Mathematical Institute in Opava **Timetable**- Tue 13:05–14:40 RZ
- Timetable of Seminar Groups:

*B. Volná* **Prerequisites**- TYP_STUDIA ( B )

Assumptions of a basic knowledge of mathematics and economics at tertiary level **Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- Applied Mathematics (programme MU, B1101)
- Mathematical Methods in Economics (programme MU, B1101)

**Course objectives**- Foundations of the mathematical modelling in economy, optimization and economic equilibria, understanding how to use mathematics in economics.
**Syllabus**- - approach to the mathematical modelling in economy, its content and methods

- economic function and slope of this function, average and marginal slope

- total, average, and marginal quantities

- elasticity of the function

- discrete dynamical models noncontinuous quantity changes, spider's web model of supply - demand model

- price equilibrium as a result of the equality between supply and demand

- supply - demand continuous model

- utility function, its mathematical expression and graphic representation

- utility maximization, substitutive and income effects

- cost function, progressive and degressive costs

- productivity and profit functions

- production function, Cobb-Douglas production function

- consumption and saving functions

- investment function and capital accumulation

- - approach to the mathematical modelling in economy, its content and methods
**Literature**- K. Zimmermann.
*Úvod do matematické ekenomie*. Karolinum Praha, 2002. ISBN 80-246-0464-7. info - D. Bauerová, L. Hrbáč.
*Matematická ekonomie I*. VŠB Ostrava, 1996. ISBN 80-7078-293-5. info - R. G. D. Allen.
*Matematická ekonomie*. Academia Praha, 1971. info

*recommended literature*- G. Gandolfo.
*Economic Dynamics*. Berlin-Heidelberg: Springer-Verlag, 1997. ISBN 3540609881. info

*not specified*- K. Zimmermann.
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- Study Materials

The course can also be completed outside the examination period. **Teacher's information**- The credit can be obtained after processing semester task.

- Enrolment Statistics (recent)

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