Course: Mathematic Methods in Economics

» List of faculties » FES » UMKM
Course title Mathematic Methods in Economics
Course code UMKM/PMME
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory, Compulsory-optional, Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Linda Bohdan, doc. RNDr. CSc.
  • Slavíček Ondřej, Mgr. Ph.D.
  • Heckenbergerová Jana, Mgr. Ph.D.
Course content
Convex sets. Definition of linear programming tasks, creation of mathematical models. Graphical solution of linear programming tasks. Canonical form of linear programming task, forms of notation with the accent put on matrices notation, terminology, basic theorems about set of all acceptable solutions. Simplex method. Simplex table, algorithm of the Simplex method. Modification of the models of linear programming tasks into canonical form, addition variables. Artificial base. Modification of the Simplex algorithm. Duality. Definition of dual task, duality theorems, searching for a solution of dual task, economical interpretation of duality. Analysis of the sensitivity of linear programming tasks with regard to the coefficients cj, bi, aij. Integral programming, Gomorys´ algorithms. Transportation task, Dantzig's algorithm. Methods searching for initial solution. Assignment problem, Hungarian method. Non-linear programming, basic terms. Principles of multicriterial programming. Basic terms in the theory of graphs, algorithms searching for ultimate ways in the graphs. Network graph CPM, PERT.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Methods of individual activities
Learning outcomes
The aim of the course is to acquaint the students with optimization methods in the sphere of mathematic programming and network analysis. Its part is the precise definition of decision making and optimization problems and creation of its models.
Student acquires skills to solve some decision-making situation by the help of exact methods from the areas of mathematical programming and control of extended projects.
Prerequisites
Prerequisite for successful mastering of this subject is knowledge of mathematics within the range taught at universities with emphasis on bases of matrics and vector calculus.

Assessment methods and criteria
Oral examination, Written examination, Student performance assessment


Recommended literature
  • Hillier,S.F.,Lieberman,G.J. Introduction to Operations Research. McGraw Hill, 2001. ISBN 0-07-121744-4.
  • Linda,B.,Volek,J. Lineární programování. Pardubice, 2007.
  • Volek, Josef. Operační výzkum I. Pardubice: Univerzita Pardubice, 2002. ISBN 80-7194-410-6.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Economics and Administration Regional Development (2014) Economy 1 Winter
Faculty of Economics and Administration Insurance Engineering (2014) Economy 1 Winter
Faculty of Economics and Administration Regional and Information Management (2014) Economy 1 Winter
Faculty of Economics and Administration Regional Development (2013) Economy 1 Winter
Faculty of Economics and Administration Informatics in Public Administration (2014) Economy 1 Winter
Faculty of Economics and Administration Insurance Engineering (2014) Economy 1 Winter
Faculty of Economics and Administration Economics of Public Sector (2016) Economy 1 Winter
Faculty of Economics and Administration Economics of Public Sector (2013) Economy 1 Winter
Faculty of Economics and Administration Regional Development (2013) Economy 1 Winter
Faculty of Economics and Administration Economics and Enterprise Management (2013) Economy 1 Winter
Faculty of Economics and Administration Insurance Engineering (2013) Economy 1 Winter
Faculty of Economics and Administration Economics and Enterprise Management (2014) Economy 1 Winter
Faculty of Economics and Administration Informatics in Public Administration (2013) Economy 1 Winter
Faculty of Economics and Administration Economics of Public Sector (2014) Economy 1 Winter
Faculty of Economics and Administration Regional and Information Management (2013) Economy 1 Winter
Faculty of Economics and Administration Economics and Enterprise Management (2015) Economy 1 Winter
Faculty of Economics and Administration Regional Development (2014) Economy 1 Winter