Course: Selected parts of the applied mathematics I

« Back
Course title Selected parts of the applied mathematics I
Course code KMA/XAM1
Organizational form of instruction no contact
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 10
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Tlustý Pavel, prof. RNDr. CSc.
Course content
The graph theory - introduction Noncooperative games Two-person zero-sum games. Matrix games Games with incomplete information

Learning activities and teaching methods
Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
The course is divided into two partly connected sections. The first one deals with the introduction into the graph theory with the accent on its applications. Particularly it is focused on the basic concepts from the graph theory, their qualities and formulation of simple graph problems and algorithms for their solving. The second part deals with the game theory. Its aim is to clarify the rules of the optimal decision in typical situations.
A student will be able to use the game theory to solve selected practical tasks.
Prerequisites
Everything in content of course.

Assessment methods and criteria
Oral examination, Written examination

Recommended literature
  • Aumann, R. J., ed.:. Handbook of Game Theory with Economic Applications, Elsevier, Amsterdam, 2002.
  • Diesel, R.:. Graph Theory, Springer, 2005. Online http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/.
  • Maňas, M.:. Teorie her a její aplikace, SNTL, Praha, 1991.
  • Matoušek, J., Nešetřil, J.:. Kapitoly z diskrétní matematiky, Karolinum, UK Praha, 2000.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -