Course syllabus EMMA - Economic-mathematical Methods (FBE - WS 2019/2020)


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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 2019/2020
Name of lecturer: Ing. Martina Čampulová, Ph.D. (examiner, instructor, lecturer)
doc. Ing. Josef Holoubek, CSc. (supervisor)
Prerequisites: Mathematics I or Mathematics I
 
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
Self-study
     preparation for exam36 h
     preparation for regular assessment84 h
Total168 h
 
Assessment methods:
Written test (including theoretical and practical part) at the end of the course. Additional requirements (attendance, seminar work, etc..) are not set. Students can take on the exam calculator. To pass the exam, students must obtain at least 55% of available points.
 
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

RQrequired
RErecommended


Last modification made by Ing. Jiří Gruber on 09/11/2019.

Type of output: