| 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, Compulsory-optional |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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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
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| Learning activities and teaching methods |
Monologic (reading, lecture, briefing), E-learning
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| Learning outcomes |
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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 |
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Basics of linear algebra, ordinary differential equations.
UMB/CV587 ----- or ----- UMB/587 |
| Assessment methods and criteria |
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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 |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Mathematics for future teachers (1) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Mathematics for future teachers (1) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics (2010) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Ecosystem Biology (1) | Category: Ecology and environmental protection | - | Recommended year of study:-, Recommended semester: Summer |