Course: Applications of Mathematics I

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Course title Applications of Mathematics I
Course code UMB/011
Organizational form of instruction Lecture
Level of course Bachelor
Year of study not specified
Frequency of the course In each academic year, in the summer semester.
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Křivan Vlastimil, prof. RNDr. CSc.
Course content
1. Games in extended form 2. Normal form games 3. Zero-sum games, saddle point, maxmin theorem 4. Nash equilibrium 5. Classification of Nash equilibria for two-strategy games 6. Evolutionary games, evolutionary stability 7. Classification of evolutionary stability for two strategy games 8. Evolution of aggression (Hawk-Dove game) 9. Replicator dynamics 10. Rock-paper-scissors game 11. Evolution of cooperation (Prisoner's dilemma) 12. Asymmetric games; Owner-Intruder game 13. R. Dawkins Battle of the sexes game

Learning activities and teaching methods
Monologic (reading, lecture, briefing), E-learning
  • Class attendance - 28 hours per semester
  • Preparation for exam - 28 hours per semester
  • Preparation for classes - 28 hours per semester
Learning outcomes
The aim of the course is to present some applications of mathematics that use th game theory in biology.
Game theory is one of the essential methodologies used in evolutionary biology, economics, and political sciences. Students will learn this methodology and some of its biological applications. they will be able to formulate models using the game theory, analyse these models, and interpret the results.
Prerequisites
Basics of linear algebra, ordinary differential equations.
UMB/CV587
----- or -----
UMB/587

Assessment methods and criteria
Combined exam, Seminar work

1. Attendance at least 80% 2. Students will be asked to work out one project per semestr. The project must be handed in before the final exam.
Recommended literature


Study plans that include the course
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