Course syllabus EMMA - Economic-mathematical Methods (FBE - WS 2017/2018)

     ECTS syllabus          Syllabus          Timetable          

     Czech          English          

Course code: EMMA
Course title in language of instruction: Economic-mathematical Methods
Course title in Czech: Economic-mathematical Methods
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 (hours of lectures per week / hours of seminars per week)
Language of instruction: English
Level of course: bachelor
Semester: WS 2017/2018
Name of lecturer: doc. Ing. Josef Holoubek, CSc. (supervisor)
Ing. Pavel Kolman, Ph.D. (examiner, instructor, lecturer)
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: -
Learning activities and study load (hours of study load):
Type of teaching methodDaily attendance
Direct teaching
     lecture24 h
     practice24 h
     preparation for exam36 h
     preparation for regular assessment84 h
Total168 h
Assessment methods:
Written exam (6 credits)
Recommended reading:
TypeAuthorTitlePublished inPublisherYearISBN
RQSTEVENSON, W J. -- OZGUR, C.Introduction to management science with spreadsheetsBostonMcGraw-Hill/Irwin2007978-0-07-299066-9
REOptimization in operations researchUpper Saddle River, N.J.Prentice Hall0-02-398415-5
REFÁBRY, J.Management sciencePrahaOeconomica200380-245-0586-X


Last modification made by Ing. Jiří Gruber on 05/23/2017.

Type of output: