Textbook: Herbert B. Enderton, Elements of Set Theory, Academic Press.
Week | Lecture dates | Chapter | topics |
1 | 9/5 (W) | 1, 2 | Basic Axioms |
2 | 9/10, 9/12 | 2, 3 | Algebra of Sets |
3 | 9/17, 9/19 | 3 | Functions and Relations |
4 | 9/24, 9/26 | 3, 4 | Infinite Products, Natural Numbers |
5 | 10/1, 10/3 | 4, 5 | Arithmetic, Construction of Z |
6 | 10/8, 10/10 | 5 | Construction of Q, R and C |
7 | 10/15, 10/17 | 1-5 | Review and Midterm |
8 | 10/22, 10/24 | 6 | Finite & countable sets; Decimal expansions and R |
9 | 10/29, 10/31 | 6 | Cardinal arithmetic; Ordering cardinals |
10 | 11/5, 11/7 | 6 | Zorn's Lemma and the Axiom of Choice |
11 | 11/12, 11/14 | 7-8 | Well-ordered sets, Ordinals |
12 | 11/19 (M) | 7-8 | Cardinal Arithmetic |
13 | 11/26, 11/28 | 6-8 | Review, Continuum Hypothesis and Midterm |
14 | 12/3, 12/5 | 6-7 | Transfinite induction, Well-Ordering Axiom |
15 | 12/10, 12/12 | 8 | Partial orders, Alephs and Order types |
16 | 12/21 (F) | 1-8 | Final Exam in BECK 201 (8-11 AM) |