MATH320 SET THEORY
| Course Code: | 2360320 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 6.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Prof.Dr. SÜLEYMAN ÖNAL |
| Offered Semester: | Fall Semesters. |
Course Objectives
This is an introductory course to axiomatic set theory. We shall learn the axiomatic system ZFC, the Zermelo-Fraenkel set theory with Choice. The main objectives of this course are
- to understand how ZFC provides a foundation for (virtually all) mathematics,
- to learn about some set-theoretic techniques that are frequently used in mathematics,
- to learn about set theory as a field of mathematics on its own.
Course Content
Language and axioms of set theory. Ordered pairs, relations and functions. Order relation and well ordered sets. Ordinal numbers, transfinite induction, arithmetic of ordinal numbers. Cardinality and arithmetic of cardinal numbers. Axiom of choice, generalized continuum hypothesis.