| Course title | Set Theory |
|---|---|
| Course code | KMA/P427 |
| Organizational form of instruction | Lecture |
| Level of course | Bachelor |
| Year of study | 3 |
| Semester | Summer |
| Number of ECTS credits | 4 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | unspecified |
| Work placements | unspecified |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
|
1. Set, class. 2. Axiomatic system. 3. Ordering, well-ordering, cut. 4. Ordinal and cardinal numbers. 5. Cantor-Bernstein theorem. Axiom of choice. 6. Comparation of numerical sets. 7.Theory of finite sets. 8. Theory, model and proof. 9. Infinity combinatory, Ramsey's theorem.
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| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
|
Naive theory of sets, axiomatic theory of sets, ordinal and cardinal numbers, aritmetics of ordinals and cardinals, stationary sets, continuum hypothesis, infinity combinatory (trees, Ramsey's theorem).
|
| Prerequisites |
|
unspecified
|
| Assessment methods and criteria |
|
unspecified
|
| 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 (double subject) (A14) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Mathematics (double subject) (A14) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Mathematics (double subject) (A14) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Summer |