Lectures	Sections in Text	Brief Description
Week 1	Chapter 0, 1.1-1.6, 2.1, 2.2, 2.4, 3.2	Groups, examples, homomorphisms, cosets, Lagrange
Week 2	Chapter 2.3, 3.3, 3.4	Cyclic groups, standard isomorphism theorems, solvable groups, composition series
Week 3	Chapter 3.4, 4.1, 4.2, 4.3	Jordan-Hölder theorem, Group actions, G-set structure theorem, class equation, symmetric group
Week 4	Chapter 4.3, 4.5, 4.6, 5.1, 5.5	Conjugacy classes in S_n, Sylow theorems, Semidirect Products
Week 5	Chapter 5.5, 5.2, class notes	Semidirect Products, split extensions, direct sums, free abelian groups, finitely-generated abelian groups
Week 6	Appendix II, Chapter 6.3, 7.1-7.4	Basic category theory (products, coproducts, functors). free groups, introduction to rings
Week 7	7.4, 7.5, 7.6, 15.4	Prime and maximal ideals, localization, Chinese Remainder Theorem
Week 8	9.1, 9.6, 10.1, 15.4, 8.3	polynomial rings, group rings, modules, localization of modules, irreducibles and primes in rings
Week 9	8.1, 8.2, 8.3, 9.1, 9.2, 9.3	UFDs, PIDs, Euclidean rings, polynomial rings

Thomas R. Shemanske
Last updated November 12, 2006 12:36:01 EST