Mathematical Models in Economics
Code  Completion  Credits  Range  Language 

11MME  KZ  2  1+1  English 
 Lecturer:
 Tutor:
 Supervisor:
 Department of Applied Mathematics
 Synopsis:

Stochastic prosesses and their classification, Poisson process, birth and death process, queueing models and their classification, graph and related terminology, cycles in a graph and their detection, the shortest and longest way through a graph, critical parth through a graph, extreme of a function of many arguments, free and constrained extremum, Lagrange multipliers, numerical methods in optimization, linear programming and its application.
 Requirements:

Probability, basics of differential and integral calculus.
 Syllabus of lectures:
 Syllabus of tutorials:
 Study Objective:

The course deals with problems of mathematical modeling with respect to the area of economics. Students will learn about modeling of processes within the area of queueing theory, they acquire skills in a solition of problems conneced with passage throuh an area modeled by a net and become acquainted with basic methods of static optimization.
 Study materials:

Robert B. Cooper: Introduction to Quoueing Theory  http://www.cse.fau.edu/~bob/publications/ IntroToQueueingTheory_Cooper.pdf; Douglas B. West: Introduction to Graph Theory. Prentice Hall 1996, 2001. ISBN 0130144002; S. Boyd and L. Vandenberghe: Convex Optimization  http://www.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 TR nav.prez.11/12 (compulsory course in the program)
 TRELPASO nav.prez 11/12 (compulsory course in the program)
 TR nav.prez.12/13 (compulsory course in the program)
 TRELPASO nav.prez. 12/13 (compulsory course in the program)
 TR nav.prez.13/14 (compulsory course in the program)
 TRELPASO nav.prez.13/14 (compulsory course in the program)
 TRELPASO nav.prez.14/15 (compulsory course in the program)
 TR nav.prez.15/16 (compulsory course in the program)
 TRELPASO nav.prez.15/16 (compulsory course in the program)
 TR nav.prez.16/17 (compulsory course in the program)
 TRELPASO nav.prez.16/17 (compulsory course in the program)
 Inženýrství pevných látek (compulsory course of the specialization)