Lectures	Sections in Text	Brief Description
9/26	0.1	Equivalence Relations and Partitions
9/28	0.3	The definition of Z/nZ
10/1	1.1	Definition of groups; examples; begin dihedral group
10/3	1.2 - 1.3	Dihedral and Symmetric groups
10/5	1.4 - 1.5, start 1.6	Matrix groups, Quaternions, Isomorphism
10/8	1.6, 2.1	Homomorphisms and subgroups
10/10	2.1	Subgroups
10/12	2.3	Cyclic groups
10/15	2.4, 3.1	Subgroups generated by a set; cosets
10/17	3.1, 3.2	Cosets and homomorphisms
10/19	3.2	More on cosets and Lagrange's theorem
10/22	3.3, 3.5	First Isomorphism theorem, the alternating group
10/24	1.7, 4.1, 4.2	Group actions and Cayley's theorem
10/26	4.2	Group Actions continued
10/29	4.3, 3.4	Groups acting by conjugations; the class equation; Holder program
10/31	4.5, 5.2, 5.4	Sylow theorems; Recognizing direct products; applications of Sylow theorems; fundamental theorem of finite abelian groups
11/2	5.2, 7.1	Fundamental theorem of finite abelian groups; Rings (basic definitions and examples)
11/5	7.2, 7.3	Polynomial Rings; homomorphism
11/7	7.3	Homomophisms; quotient rings
11/9	7.4	Quotient Rings and properties of ideals
11/12	8.1, 9.1	Euclidean Domains; Polynomial rings
11/14	8.2, 9.2	PIDs
11/16	8.3	gcds, irreducibles, primes
11/19	8.3	Unique Factorization Domains
11/21		Thanksgiving break: 11/21 - 11/25
11/26	9.3	Gauss' lemma and consequences
11/28	9.4	Irreducibility criteria
11/30	9.4	Extension Fields
12/3		Wrap it up

Thomas R. Shemanske
Last updated June 25, 2009 14:49:08 EDT