PřF:M8115 Seminary from mathematical mod - Course Information
M8115 Seminary from mathematical modelling
Faculty of ScienceSpring 2010
- 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
- prof. RNDr. Zdeněk Pospíšil, Dr.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable of Seminar Groups
- M8115/01: Fri 8:00–9:50 M4,01024, Z. Pospíšil
- 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
- Teaching methods
- Demonstrative solutions of selected problems.
- Assessment methods
- Active participation on class exercises, team work.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/sci/spring2010/M8115