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


     Czech          English          


Course code:
EMM
Course title in Czech: Economic-mathematical Methods
Course title in English:
Economic-mathematical Methods
Semester: WS 2019/2020
Mode of completion and number of credits: Exam (6 credits)
Mode of delivery and timetabled classes:
full-time, 2/2 (hours of lectures per week / hours of seminars per week)
part-time, 16/0 (lectures per period / seminars per period)
Level of course:
bachelor
Course type:
required
Type of delivery:
usual, consulting
Mode of delivery for our mobility students abroad:
-- item not defined --
Language of instruction:
Czech
Course supervisor:
doc. Ing. Josef Holoubek, CSc.
Course supervising department:
Faculty: Faculty of Business and Economics
Teachers:
Ing. Martina Čampulová, Ph.D. (instructor)
doc. Ing. Josef Holoubek, CSc. (examiner, instructor, lecturer, supervisor)
Prerequisites:
 
Timetable in this semester:
Day
From-till
RoomTeacher
Entry
Frequency
Capacity
Tuesday
11.00-12.50
Q03
J. HoloubekLectureEvery week
170
Tuesday13.00-14.50Q34M. Čampulová
Seminar
Every week
24
Wednesday
7.00-8.50
Q37
J. HoloubekSeminar
Every week
24
Wednesday
9.00-10.50
Q37
Seminar
Every week24
Thursday
7.00-8.50
Q37J. HoloubekSeminarEvery week24
Thursday
9.00-10.50
Q34J. Holoubek
Seminar
Every week
24
Thursday
13.00-14.50
Q37
Seminar
Every week
24
Saturday13.00-16.50Q37Lecture
Occasionally
30
 
Aim of the course and learning outcomes:
To learn, how to formulate, solve and interpret models of typical problems. For solving will be used linear programming and network analysis methods.
 
Course content:
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 activities and teaching methods:
Type of teaching method
Daily attendance
Combined form
lecture28 h
0 h
practice28 h0 h
consultation
0 h
16 h
preparation for exam
28 h
152 h
preparation for regular assessment
42 h
0 h
preparation for regular testing
42 h
0 h
Total168 h
168 h
 
Assessment methods:
To obtain a credit the students of full-time form of study are required to attend the seminars (three absences are tolerated) and to pass three tests written during the semester. The tests last for ½ hour each and are evaluated as fulfilled / not fulfilled. If the tests are not fulfilled the students have possibility to repeat them. Credit is a requirement for the possibility to sign up for the exam.

The written exam verifies the student´s ability to formulate a model of a problem, solve it and interpret the result as well as basic theoretical knowledge for both full-time and part-time form of study. The exam lasts 50 minutes and a maximum of 40 points can be obtained. The minimum requirement for the successful completion of the exam is 23 points.

The students are required to bring their own writing and drawing aids + identification card with faithful photograph to the exam. Use of the calculator during the exam is permitted. Other materials, aids and devices or descriptions are NOT PERMITTED, their use will be evaluated by F.


 
Assessment criteria ratio:
Requirement type
Daily attendance
Combined form
Total0 %0 %
 
Recomended reading and other learning resources:
Basic:
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:
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.

Course listed in study plans for this semester:
Field of study B-EM-ME Economics and Management, full-time form, initial period WS 2017/2018
Field of study B-SE-EI Economic informatics, full-time form, initial period WS 2017/2018
Field of study B-EM-ME Economics and Management, part-time form, initial period WS 2017/2018
Field of study B-SE-EI Economic informatics, full-time form, initial period SS 2017/2018
Field of study B-EM-ME Economics and Management, part-time form, initial period SS 2017/2018
 
Course listed in previous semesters:
WS 2020/2021, SS 2019/2020, SS 2018/2019, WS 2018/2019, SS 2017/2018, WS 2017/2018 (and older)
Teaching place:
Brno


Last modification made by Ing. Jiří Gruber on 05/22/2019.

Type of output: