Course title | Set Theory |
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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).
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Prerequisites |
unspecified
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Assessment methods and criteria |
unspecified
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Recommended literature |
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Study plans that include the course |
Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
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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 |