ESF:DXX_MAT2 Mathematics for PhD - Course Information
DXX_MAT2 Mathematics for PhD studiesFaculty of Economics and Administration
- Extent and Intensity
- 12/12. 6 credit(s). Type of Completion: z (credit).
- 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
- 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
- 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.
- 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
- 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
- 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
- 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.