M8115 Seminary from mathematical modelling

Faculty of Science
Spring 2009
Extent and Intensity
0/2. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Zdeněk Pospíšil, Dr. (lecturer)
Guaranteed by
doc. RNDr. Martin Kolář, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable of Seminar Groups
M8115/01: Thu 14:00–15:50 M4,01024
Prerequisites
Differential and integral calculus in several variables, linear algebra.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The main objectives can be summarized as follows:
to introduce selected mathematical models and techniques of mathematical modelling;
to construct the models using differential equations;
to "translate" the differential equations to the language of system dynamics (in the sense of Sterman);
to introduce "agent-based-type" models;
to construct, analyze and interpret selected models originated in economics and humanities.
Syllabus
  • Deterministic dynamical models - phase variables, transient equations, constraints.
  • System dynamics - accumulations and flows.
  • Agent-based models.
  • Selected models - macroeconomic growth, functioning of advertisement, conflict situations, colective behavior.
Literature
  • BARRO, Robert J. and Xavier SALA I MARTÍN. Economic growth. 2nd ed. Cambridge, Mass.: MIT Press, 2004, xvi, 654. ISBN 0262025531. info
  • STERMAN, John. Business dynamics : systems thinking and modelling for a complex world. Boston: McGraw-Hill, 2000, xxvi, 982. ISBN 0072311355. info
  • HAVELKA, Stanislav, Václav KOŘENÁŘ and Milada LAGOVÁ. Matematické modely v ekonomii. Ústí nad Labem: Univerzita J. E. Purkyně - Ústí nad Labem, 1994, 103 s. ISBN 80-7044-096-1. info
Assessment methods
Seminar - class discussion, demonstration of problem solution, student presentations.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2010.
  • Enrolment Statistics (Spring 2009, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2009/M8115