PMVPPM Selected topics in advanced mathematics

Faculty of Economics and Administration
Autumn 2007
Extent and Intensity
2/1. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Vítězslav Veselý, CSc. (lecturer)
Mgr. Jaromír Tonner, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Vítězslav Veselý, CSc.
Department of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Contact Person: Lenka Hráčková
Timetable
Fri 9:20–11:00 S310
  • Timetable of Seminar Groups:
PMVPPM/1: Fri 11:05–11:50 S310, J. Tonner
Prerequisites
standard maths courses on BSc level roughly matching the contents of the three-term course Introduction to mathematics I-III (codes PMZMI, PMZMII, PMZM3).
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
Course objectives
The course offers selected topics of higher mathematics not being commonly lectured on BSc level but required in subsequent MSc courses of this study program. It follows up with the three-term BSc course Introduction to Matematics I-III. The main delivered topics involve Lebesgue integration, differential and difference equations, basics of functional and Fourier analysis and summation of power and Laurent series in the domain of complex numbers. The contents may be modified and/or updated according to current needs.
Literature
  • KOLMOGOROV, Andrej Nikolajevič and Sergej Vasil‘jevič FOMIN. Základy teorie funkcí a funkcionální analýzy. Translated by Vladimír Doležal - Zdeněk Tichý. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1975, 581 s. info
  • RÁB, Miloš. Metody řešení obyčejných diferenciálních rovnic. 2.přepracované vydání. Brno: vydala Masarykova univerzita v Brně-PřF, 1998, 96 pp. ISBN 80-210-1818-6. info
  • PLCH, Roman. Příklady z matematické analýzy, Diferenciální rovnice. 1. vydání. Brno: Masarykova univerzita, 2002, 31 pp. ISBN 80-210-2806-8. info
  • TU, Pierre N. V. Dynamical systems : an introduction with applications in economics and biology. 2nd rev. and enl. ed. Berlin: Springer-Verlag, 1994, xviii, 314. ISBN 3540576614. info
  • KUFNER, Alois and Jan KADLEC. Fourierovy řady (Fourier series). Praha: Academia, 1969. info
  • ČÍŽEK, Václav. Diskretní Fourierova transformace a její použití. 1. vyd. Praha: SNTL - Nakladatelství technické literatury, 1981, 160 s. URL info
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2008.
  • Enrolment Statistics (Autumn 2007, recent)
  • Permalink: https://is.muni.cz/course/econ/autumn2007/PMVPPM