Math 361, Section 1: Set Theory
Fall 2006

Schedule

Week Date of Monday Topic Homework Comments
1 Sept. 4 Introduction. Basic Axioms. Notes. Homework 1. Due 9/13. No class Monday.
2 Sept. 11 Axioms. Functions. Notes. Homework 2. Due 9/20.
3 Sept. 18 Relations. Equivalence and order relations. Notes. Homework 3. Due 9/27. Substitute (Prof. Thomas) on Monday and Wednesday.
4 Sept. 25 Natural numbers. Recursion. Berry Paradox. Notes. Homework 4. Due 10/4. Incorrectly called it "Bertrand's Paradox" in class. Ha!
5 Oct. 2 Arithmetic. None. Midterm on Wednesday.
6 Oct. 9 Omega is well-ordered. Begin construction of Z. Notes. Homework 5. Due 10/18. As always, let me know if you find typos in the notes. Thanks!
7 Oct. 16 Finish Z. Begin Q. Notes. Homework 6. Due 10/25. Fixed typo in HW 6 (10/21).
8 Oct. 23 Finish Q. Begin R. Notes. Homework 7. Due 11/01.
9 Oct. 30 Finish R. Notes. Homework 8. Due 11/08. "Why isn't it just obvious that the integers form an unbounded subset of the real numbers?" By Timothy Gowers
10 Nov. 6 Decimal expansions. Finish C. None. Midterm on Wednesday.
11 Nov. 13 Equinumerosity. Notes. Homework 9. Due 11/29.
12 Nov. 20 Proof of Schroder-Bernstein. None. Thanksgiving -- no class Wednesday.
13 Nov. 27 Cardinal Numbers. Notes. Homework 10. Due 12/06.
14 Dec. 4 The axiom of choice. Well-orders. Notes. Homework 11. Due 12/13.
15 Dec. 11 Ordinals. Notes. None. Wednesday is last day of classes. The final is on Dec. 19 (Tuesday) from 12-3pm, in the usual classroom.