Math 361 - Set Theory

3 credits. Offered in the Fall semester. Official course information. Prerequisites: Math 300; and Math 250, Math 251 or Math 291.

Description

Math 361 is a first course in undergraduate set theory. Focus will be put on set theory as a foundation of math, as well as set theory as its own subject.

Topics covered

Topics covered may include

• Zermelo–Fraenkel axioms of set theory
• Construction of the real numbers
• Countable and uncountable sets
• Cardinal arithmetic
• Axiom of choice
• Well-orderings and ordinal numbers

Note that the exact list of topics may vary by instructor and semester.

Comments on prerequisites

Many students taking 361 are fresh out of 300.

Resources

Textbook

The usual textbook for the class is Elements of Set Theory by Herbert B. Enderton.