This is a list of all courses offered by the Math Department.  Not all courses are offered each year.  What is provided is a general description of the courses and the prerequisites.  The actual content may vary.

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Description

This course provides an introduction to modern set theory. There is an emphasis on techniques that are applicable to other areas of mathematics. Whenever possible, examples from algebra and number theory are presented, however students are not required to have any specific knowledge of these subjects.

Prerequisites

1 course with a minimum grade of C- from (MATH403, MATH410).


Level of Rigor

Advanced


Sample Textbooks

Introduction to Modern Set Theory, by Judith Roitman

The Joy of Sets: Fundamentals of Contemporary Set Theory,  by Keith Devlin


Applications

Computer Science

Mathematical Logic


If you like this course, you might also consider the following courses

Math 712


Additional Notes

Students interested in grad school in MATH should consider this course

Topics

Zermelo-Fraenkel axioms, ordinals and the cumulative hierarchy, partially ordered sets, Zorn's lemma, equivalents of the axiom of choice, ordinal and cardinal arithmetic, filters, trees, K├Ânig's lemma, well-founded relations and transfinite induction.