Study programmes / B-EPA Economic policy and administration / Economic-mathematical Methods
Course code:EMM
Course title in language of instruction:Ekonomicko matematické metody
Course title in Czech:Ekonomicko matematické metody
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; part-time, 16/0
(full-time, hours of lectures per week / hours of seminars per week; part-time, lectures per period / seminars per period)
Language of instruction:Czech
Level of course:bachelor
Semester:WS 2018/2019 - FBE
Name of lecturer:doc. Ing. Josef Holoubek, CSc. (supervisor)
Prerequisites:Mathematics I
Aims of the course:To 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 definition, 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 kinds 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 - fundamental 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:Three written 1/2 hour tests during semester verify knowledge and abilities. Tests are evaluated passed / not passed. Tests which were not passed students can make again. According to passed tests students get credit.
Written exam verifies ability of mathematical models formulation, solving and results interpretation. Furthermore, exam will verify knowledge of basic theoretical facts. Exam duration is 50 minutes.
Learning activities and study load (hours of study load)
Type of teaching methodDaily attendanceCombined form
Direct teaching
     lecture28 h0 h
     practice28 h0 h
     consultation0 h16 h
     preparation for exam28 h152 h
     preparation for regular assessment42 h0 h
     preparation for regular testing42 h0 h
Total168 h168 h

Basic reading list
  • HOLOUBEK, J. Ekonomicko-matematické metody. Brno: Mendelova univerzita v Brně, 2010. 153 p. ISBN 978-80-7375-411-2.
  • PLEVNÝ, M. -- ŽIŽKA, M. Modelování a optimalizace v manažerském rozhodování. 1st ed. Plzeň: Západočeská univerzita, 2007. 296 p. ISBN 978-80-7043-435-2.
Recommended reading list
  • JABLONSKÝ, J. Operační výzkum : kvantitativní modely pro ekonomické rozhodování. 1st ed. Praha: Professional Publishing, 2002. 323 p. ISBN 80-86419-23-1.
  • FIALA, P. -- JABLONSKÝ, J. Vícekriteriální rozhodování. 1st ed. Praha: VŠE, 1994. 316 p. ISBN 80-7079-748-7.
  • STEVENSON, W J. -- OZGUR, C. Introduction to management science with spreadsheets. Boston: McGraw-Hill/Irwin, 2007. 812 p. ISBN 978-0-07-299066-9.
  • RAŠOVSKÝ, M. Ekonomicko-matematické metody. 1st ed. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 1999. 195 p. ISBN 80-7157-412-0.
  • HAVLÍČEK, J. -- ZÍSKAL, J. Ekonomicko matematické metody I. Praha: PEF Česká zemědělská univerzita, 1998. 249 p. ISBN 80-213-0462-6.