The following is a partial syllabus for the course. This page will be updated weekly.
The Homework Assignments page will always be accurate.

Lectures	Sections in Text	Brief Description
Week 1	3.5-3.6	Vector spaces and duality
Week 2	1.1 - 1.3	Finish duality, Intro to groups, direct products, homomorphisms, cosets and Lagrange's theorem, standard isomorphism theorems, correspondence theorem
Week 3	1.3 - 1.4	cyclic groups, solvable groups, Hom(Z/nZ,G)
Week 4	1.3, 1.5	Jordan-Holder, group actions
Week 5	1.5, 1.6, class notes	Sylow theorems, simplicity of An, semidirect products
Week 6	1.7, 1.8	Direct sums, free abelian groups, finitely generated abelian groups
Week 7	2.1, 2.2, 2.4	Intro to rings, homomorphisms, characteristic, integral domains, ideals, Commutative rings, Chinese Remainder Theorem
Week 8	2.4, 2.3, 3.1	Localization of rings, (Polynomial and group rings, localization of modules -- deferred to end)
Week 9	2.5	UFDs, PIDs; Thanksgiving break
Week 10	4.1, 4.2, 4.3, 4.4	Euclidean domains, Polynomial Rings, Gauss' Lemma, Irreducibility conditions, Hilbert Basis Theorem
Time permitting	1.11, 1.12	Category theory, products, coproducts, functors and free groups (summary)

Thomas R. Shemanske
Last updated June 25, 2009 14:49:06 EDT