PřF:M7111 Topics on mathematical modelli - Course Information

M7111 Topics on mathematical modelling

Extent and Intensity

2/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: k (colloquium).

Teacher(s)

doc. RNDr. Petr Lánský, DrSc. (lecturer)

Guaranteed by

prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Wed 12:00–13:50 M3,01023

Course Enrolment Limitations

The course is offered to students of any study field.

Abstract

Selected methods of mathematical modeling are presented and developed. A comparison between deterministic and stochastic approaches is followed in detail. New trends in mathematical modeling are introduced and reviewed. Each chapter is supplemented by a summary of applied mathematical procedures.

Key topics

Program is modified with respect to models under consideration 1) Hypergeometric probability distribution 2) Poisson probability distribution 3) Random variable simulation 4) Poisson process, in time and space 5) Sequences of random variables 5) Information coding 6) Birth-and-death processes 7) Deterministic population models 8) Diffusion processes 9) Stocastic differential equations

Study resources and literature

• TUCKWELL, Henry C. Elementary applications of probability theory : with an introduction to stochastic differential equations. 2nd ed. London: Chapman and Hall, 1995, xv, 292. ISBN 0412576201. info

Approaches, practices, and methods used in teaching

Lectures and discussion

Method of verifying learning outcomes and course completion requirements

lectures, class discussion, presentations by professionals in the field

Language of instruction

Czech

Further Comments

Study Materials
The course is taught annually.

• Enrolment Statistics (Autumn 2012, recent)
  
• Permalink: https://is.muni.cz/course/sci/autumn2012/M7111