## DXX_MAT2 Mathematics for PhD studies

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
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.