Mathematical Models in Economics

Lecturer:

Ivan Nagy (gar.)

Tutor:

Ivan Nagy (gar.)

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 0-13-014400-2; S. Boyd and L. Vandenberghe: Convex Optimization - http://www.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

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. 13/13 (compulsory course in the program)