Study programmes / B-EMEN Economics and Management / Economic-mathematical Methods
Course code:EMMA
Course title in language of instruction:Economic-mathematical Methods
Course title in Czech:Ekonomicko-matematické metody v AJ
Course title in English:Economic-mathematical Methods
Mode of completion and number of credits:Exam (6 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes:full-time, 2/2
(full-time, hours of lectures per week / hours of seminars per week)
Language of instruction:English
Level of course:bachelor
Semester:WS 2018/2019 - FBE
Name of lecturer:doc. Ing. Josef Holoubek, CSc. (supervisor)
Prerequisites:Mathematics II
 
Aims of the course:Learn, how to formulate, solve and interpret models of typical problems. For solving will be used linear programming and network analysis methods.
Course contents:
1.Economic mathematical methods - principles. Linear programming problem (LP problem) (allowance 7/7)
 
a.Fundamental terms, it's relation to system theory and system modelling
b.LP problem formulation and properties, geometric and economic interpretation of LP problem
c.Duality theory

2.Simplex method (allowance 6/6)
 
a.Simplex method - principle and algorithm
b.Initial basic solution, simplex tableau, sensitivity analysis
c.Dual simplex method

3.Distribution problems (allowance 6/6)
 
a.Transportation problems - methods, sensitivity analysis
b.Container transportation problem, General distribution problem
c.Assignment problem, Travelling salesman problem

4.Special kind of LP problems (allowance 3/3)
 
a.Goal programming
b.Integer programming
c.Multi-criterial optimization.

5.Graph optimization (allowance 6/6)
 
a.Graph theory - fundametal terms
b.Shortest path problem, Minimal spanning tree problem, maximum flow problem, Critical path method (CPM)

Learning outcomes and competences:
Generic competences:
 
-ability to analyse and synthesize
-ability to apply knowledge
-ability to solve problems
-ability to speak and write in mother tongue
-basic computing skills
-general knowledge
-professional knowledge

Specific competences:
 
-Student is able according to the character of the problem choose suitable method for its solving and to solve it.
-Student knows clearly interpret result obtained by problem solving.
-Student knows correctly construct mathematical or graphical model of solved problem.
-Student will acquire basic Operations Research terminology and will be able to describe solving procedure of given problem.

Type of course unit:required
Year of study:Not applicable - the subject could be chosen at anytime during the course of the programme.
Work placement:There is no compulsory work placement in the course unit.
Recommended study modules:none
Assessment methods: Written exam (6 credits)
 
Learning activities and study load (hours of study load)
Type of teaching methodDaily attendance
Direct teaching
     lecture24 h
     practice24 h
Self-study
     preparation for exam36 h
     preparation for regular assessment84 h
Total168 h

Basic reading list
  • STEVENSON, W J. -- OZGUR, C. Introduction to management science with spreadsheets. Boston: McGraw-Hill/Irwin, 2007. 812 p. ISBN 978-0-07-299066-9.
Recommended reading list
  • RARDIN, R L. Optimization in operations research. Upper Saddle River, N.J.: Prentice Hall, 1998. 919 p. ISBN 0-02-398415-5.
  • FÁBRY, J. Management science. 1. vyd. Praha: Oeconomica, 2003. 129 p. ISBN 80-245-0586-X.