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ESF:DXX_MAT2 Mathematics for PhD - Course Information

## DXX_MAT2 Mathematics for PhD studies

**Faculty of Economics and Administration**

Autumn 2015

**Extent and Intensity**- 12/12. 6 credit(s). Type of Completion: z (credit).
**Teacher(s)**- doc. Mgr. Petr Zemánek, Ph.D. (lecturer)

Ing. Mgr. Vlastimil Reichel, Ph.D. (seminar tutor) **Guaranteed by**- prof. RNDr. Roman Šimon Hilscher, DSc.

Department of Mathematics and Statistics - Departments - Faculty of Science

Contact Person: Mgr. Jarmila Šveňhová

Supplier department: Department of Mathematics and Statistics - Departments - Faculty of Science **Timetable**- Thu 1. 10. 12:00–15:50 M3,01023, Thu 8. 10. 12:00–15:50 M3,01023, Thu 15. 10. 12:00–15:50 M3,01023, Thu 29. 10. 12:00–15:50 M3,01023, Thu 5. 11. 12:00–15:50 M3,01023, Thu 12. 11. 12:00–15:50 M3,01023
**Prerequisites**- Differential and integral calculus for functions of one variable (elementary functions; limit; derivative; curve analysis; Taylor series; fundamental integration methods)

Basic linear algebra (matrix; vector; determinant; solution of system of linear equations)

These topics are also a part of the bachelor course Mathematics (BPM_MATE or BKM_MATE, spring semester), the link to the textbook for the latter courses can be found in the folder Study Materials/Learning Materials

It is also highly recommended to take the course`DXX_MAT1`Mathematics for PhD studies 1 **Course Enrolment Limitations**- The course is only offered to the students of the study fields the course is directly associated with.

**fields of study / plans the course is directly associated with**- there are 22 fields of study the course is directly associated with, display
**Course objectives**- At the end of the course, students should be able to handle the basic mathematical parts which are necessary for the course
`DXE_MIKR`Microeconomics. **Syllabus**- 1. Calculus of several variables
- 2. Homogeneous function
- 3. Concave/quasiconcave functions
- 4. Implicit function
- 5. Unconstrained extrema
- 6. Constrained optimization, Kuhn-Tucker conditions
- 7. Envelope theorem
- 8. Random variables

**Literature**- SIMON, Carl P. and Lawrence BLUME.
*Mathematics for economists*. 1st ed. New York: W.W. Norton, 1994. xxiv, 930. ISBN 0393957330. info *Microeconomic theory*. Edited by Andreu Mas-Collel - Michael D. Whinston - Jerry R. Green. Oxford: Oxford University Press, 1995. xvii, 981. ISBN 0-19-507340-1. info- SYDSÆTER, Knut and Peter J. HAMMOND.
*Essential mathematics for economic analysis*. 3rd ed. Harlow: Prentice-Hall, 2008. xiv, 721. ISBN 9780273713241. info - SYDSÆTER, Knut.
*Further mathematics for economic analysis*. 2st ed. Harlow: Prentice-Hall, 2008. xi, 616. ISBN 9780273713289. info

- SIMON, Carl P. and Lawrence BLUME.
**Teaching methods**- Intensive course. Dates for fall 2015: 1.10., 8.10., 15.10., 29.10., 5.11., 12.11. (Thursday). It starts at 12:00 in room M3 (Department of Mathematics and Statistics, Faculty of Science)

Every course should be divided in 2-hours lectures and 2-hours class exercises (the attendance is obligatory in the exercises). **Assessment methods**- At most 2 unexcused nonattendance and at least 50 % of points from a written credit test and homeworks; each other unexcused nonattendance raises minimum of the necessary points about 20 %.
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- Study Materials

The course can also be completed outside the examination period. **Information about innovation of course.**- This course has been innovated under the project "Inovace studia ekonomických disciplín v souladu s požadavky znalostní ekonomiky (CZ.1.07/2.2.00/28.0227)" which is cofinanced by the European Social Fond and the national budget of the Czech Republic.

- Enrolment Statistics (Autumn 2015, recent)
- Permalink: https://is.muni.cz/course/econ/autumn2015/DXX_MAT2