PřF:M8230 Discrete deterministic models - Course Information
M8230 Discrete deterministic models
Faculty of Sciencespring 2012 - acreditation
The information about the term spring 2012 - acreditation is not made public
- Extent and Intensity
- 2/2/0. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Zdeněk Pospíšil, Dr. (lecturer)
doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Zdeněk Pospíšil, Dr.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - 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
- Financial and Insurance Mathematics (programme PřF, B-AM)
- Finance Mathematics (programme PřF, N-AM)
- Mathematical Biology (programme PřF, B-BI)
- Mathematical Biology (programme PřF, N-BI)
- Mathematical Modelling and Numeric Methods (programme PřF, N-MA)
- Mathematics - Economics (programme PřF, B-AM)
- Mathematics - Economics (programme PřF, N-AM)
- Modelling and Calculations (programme PřF, B-AM)
- Statistics and Data Analysis (programme PřF, B-AM)
- Statistics and Data Analysis (programme PřF, N-AM)
- Course objectives
- At the end of the course students should be able to:
construct a mathematical model of a real phenomenon evolving in a "naturally" non-continuous time;
to write down difference equations as an approximation of continuous proces described by differential equations;
to interpret difference equations as models of real processes;
to investigate basic qualitative properties of difference equation solutions.
Illustrating examples are taken from demography and macroeconomy. - Syllabus
- Elements of difference and summation calculus.
- Difference equations of the first and second kinds.
- Linear equations and their explicit solutions.
- Equations transformable to the linear ones.
- Nonlinear equations, "cod-web" procedure.
- Stability of solution.
- Literature
- recommended literature
- Krokavec, Dušan, Filasová Anna. Diskrétne systémy. Košice: elfa s.r.o., 2006, 302 s. ISBN 80-8086-028-9
- An introduction to difference equations. Edited by Saber N. Elaydi. 3rd ed. New York: Springer, 2005, xxii, 539. ISBN 0387230599. info
- SEDEGHAT, Hassan. Nonlinear difference equations : theory with applications to social science models. Dordrecht: Kluwer Academic Publishers, 2003, xv, 388. ISBN 1402011164. info
- Teaching methods
- lectures followed by class discussion and homework.
- Assessment methods
- Written exam followed by an oral one.
- Language of instruction
- Czech
- Further Comments
- The course is taught once in two years.
The course is taught: every week.
- Enrolment Statistics (spring 2012 - acreditation, recent)
- Permalink: https://is.muni.cz/course/sci/spring2012-acreditation/M8230