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


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Course code:
EMMA
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)
Level of course:
bachelor
Course type:
required
Type of delivery:
usual
Mode of delivery for our mobility students abroad:
-- item not defined --
Language of instruction:
English
Course supervisor: doc. Ing. Josef Holoubek, CSc.
Course supervising department:
Department of Statistics and Operation Analysis (FBE)
Faculty:
Teachers: Ing. Martina Čampulová, Ph.D. (examiner, instructor, lecturer)
doc. Ing. Josef Holoubek, CSc. (supervisor)
Prerequisites:
 
Timetable in this semester:
Day
From-tillRoomTeacherEntry
Frequency
Capacity
Tuesday
7.00-8.50
Q34
Lecture
Every week32
Tuesday
9.00-10.50
Q34M. ČampulováSeminarEvery week32
 
Aim of the course and learning outcomes:
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, 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 activities and teaching methods:
Type of teaching method
Daily attendance
lecture
24 h
practice
24 h
preparation for exam36 h
preparation for regular assessment
84 h
Total
168 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.
 
Assessment criteria ratio:
Requirement type
Daily attendance
Total
0 %
 
Recomended reading and other learning resources:
Basic:
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:
Optimization in operations research. Upper Saddle River, N.J.: Prentice Hall, 919 p. ISBN 0-02-398415-5.
FÁBRY, J. Management science. 1st ed. Praha: Oeconomica, 2003. 129 p. ISBN 80-245-0586-X.

Course listed in study plans for this semester:
Field of study B-EMEN-MEEN Business Economics and Management, full-time form, initial period WS 2017/2018
 
Course listed in previous semesters:
Teaching place: Brno


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

Type of output: