DXX_MATE Mathematics for PhD studies

Faculty of Economics and Administration
Autumn 2013
Extent and Intensity
12/12. 6 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. Mgr. Petr Zemánek, Ph.D. (lecturer)
Mgr. Ing. Stanislav Tvrz, Ph.D. (assistant)
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
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
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
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. Principles of mathematical proofs (direct and indirect proofs, mathematical induction)
  • 2. Calculus of several variables (basic definitions and notations, partial derivative and fundamental rules, matrix notation, homogeneous function, concave/quasiconcave functions, implicit functions)
  • 3. Optimization (unconstrained extrema, constrained optimization, Kuhn-Tucker condition, Envelope theorem)
  • 4. Probability
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
Teaching methods
Intensive course in: 26.9., 3.10., 10.10., 17.10., 24.10., 31.10. (Thursday) starting at 12:00 in room M4 (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
max. 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.
The course is taught: in blocks.
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.

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The course is also listed under the following terms Spring 2010, Autumn 2010, Autumn 2011, Autumn 2012.
  • Enrolment Statistics (recent)
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