Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly (last updated Apr 18).

Week Date Textbook sections Description Homework
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 Homework 1
Fri 4/4 Ch 1, parts 2-6 Overview of axiomatic set theory
2 Mon 4/7 Ch 2, parts 2-3 Unions, intersections, and algebra of sets
Wed 4/9 Ch 2, part 4, Ch 3, part 1 Algebra of sets, Ordered pairs Homework 2
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, parts 4-5 Functions (continued) Homework 3
Fri 4/18 Ch 3, part 6 Equivalence relations
4 Mon 4/21 Ch 3, part 7; Ch 4, parts 1-2 Ordering relations; Natural numbers
Wed 4/23 Ch 4, parts 1-2 Natural numbers; Review Homework 4
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 Homework 5
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 Homework 6
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 Homework 7
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 Homework 8
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 Homework 9
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