Set Theory

To provide students with a solid background in set theory and to develop mathematical sophistication in general, this is a course in which covers ZF (Zermelo Frankel Axioms) and ZFC (ZF + the Axiom of Choice), DeMorgan's laws, Power Set, Set Algebra, Zorn's Lemma and other equivalent versions of AC, equivalence relations, well orderings and partial orderings, bijections, Russell's paradox, confinal maps, mathematical induction, transfinite induction, ordinals and cardinals, ordinal and cardinal arithmetic, the Continuum Hypothesis, and the Constructible Universe.