Syllabus
The following is a tentative syllabus for the course. This page will be updated irregularly (last updated Mar 31).
| Week | Date | Textbook sections | Description |
|---|---|---|---|
| 1 | Mon 3/29 | Ch 1, part 1 | Introduction to set theoy |
| Tues 4/1 (x) | Introduction to proof-writing | ||
| Wed 4/2 | More discussion of proof-writing | ||
| Fri 4/4 | Ch 1, parts 2-6 | Overview of axiomatic set theory | |
| 2 | Mon 4/7 | Ch 2, part 2 | Arbitrary unions and intersections |
| Wed 4/9 | Ch 2, parts 3-4 | Algebra of sets | |
| Fri 4/11 | No class (Sarah traveling) | ||
| 3 | Mon 4/14 | Ch 3, parts 1-3 | Ordered pairs and relations |
| Tues 4/15 (x) | Ch 3, parts 4-5 | Functions | |
| Wed 4/16 | Ch 3, part 6 | Equivalence relations | |
| Fri 4/18 | Ch 3, part 7 | Ordering relations | |
| 4 | Mon 4/21 | Ch 4, parts 1-2 | Natural numbers |
| Wed 4/23 | Catch-up and review | ||
| Thurs 4/24 | Midterm 1 | Fri 4/25 | Ch 4, parts 3-4 | Recursion on ω |
| 5 | Mon 4/28 | Ch 4, part 5 | Ordering the natural numbers |
| Tues 4/29 (x) | Ch 5, part 1 | Integers | |
| Wed 4/30 | Ch 5, part 5 | Representing mathematical objects as sets | |
| Fri 5/2 | Ch 6, part 1 | Sizes of sets | |
| 6 | Mon 5/5 | Ch 6, part 2 | Finite sets |
| Wed 5/7 | Ch 6, part 3 | Cardinal arithmetic | |
| Fri 5/9 | No class (Sarah traveling) | ||
| 7 | Mon 5/12 | Ch 6, part 4 | Ordering cardinal numbers |
| Tues 5/13 (x) | Ch 6, part 5 | The axiom of choice | |
| Wed 5/14 | Catch-up and review | ||
| Thurs 5/15 | Midterm 2 | ||
| Fri 5/16 | No class (Sarah traveling) | ||
| 8 | Mon 5/19 | No class (Sarah traveling) | |
| Tues 5/20 (x) | Ch 6, parts 6-8 | Infinite cardinals | |
| Wed 5/21 | Ch 7, parts 1-2 | Partial orderings and well orderings | |
| Fri 5/23 | Ch 7, parts 4-5 | Epsilon images and isomorphisms | |
| 9 | Mon 5/26 | No class (Memorial Day) | |
| Wed 5/28 | Ch 7, part 6 | Ordinal numbers | |
| Fri 5/30 | Ch 7, part 7 | Cardinal numbers | |
| 10 | Mon 6/2 | Ch 7, part 8 | Rank |
| Wed 6/4 | The axiomatic approach and review |