Lectures	Sections in Text	Brief Description
9/21	0.1	Equivalence Relations and Partitions
9/23	0.3	The definition of Z/nZ
9/26	1.1	Definition of groups; examples; begin dihedral group
9/28	1.2 - 1.3	Dihedral and Symmetric groups
9/30	1.4 - 1.5, start 1.6	Matrix groups, Quaternions, Isomorphism
10/3	1.6, 2.1	Homomorphisms and subgroups
10/4		College Add/Drop Deadline
10/5	2.1	Subgroups
10/7	2.3	Cyclic groups
10/5	2.4, 3.1	Subgroups generated by a set; cosets
10/12	3.1, 3.2	Cosets and homomorphisms
10/13		Preliminary Exam
10/13 (x-hour)		In class part with take-home due tomorrow
10/14		No Class Today
10/17	3.2	More on cosets and Lagrange's theorem
10/19	3.3, 3.5	First Isomorphism theorem, the alternating group
10/21	1.7, 4.1, 4.2	Group actions and Cayley's theorem
10/24	4.2	Group Actions continued
10/26	4.3, 3.4	Groups acting by conjugations; the class equation; Holder program
10/28	4.5, 5.2, 5.4	Sylow theorems; Recognizing direct products; applications of Sylow theorems; fundamental theorem of finite abelian groups
10/31	5.2, 7.1	Fundamental theorem of finite abelian groups; Rings (basic definitions and examples)
11/2	7.2, 7.3	Polynomial Rings; homomorphism
11/3		Midterm Exam
11/3 (x-hour)		In class part with take-home due tomorrow
11/4	7.3	Homomophisms; quotient rings
11/7	7.4	Quotient Rings and properties of ideals
11/9	8.1, 9.1	Euclidean Domains; Polynomial rings
11/11	8.2, 9.2	PIDs
11/11		Final Withdrawal Date
11/14	8.3	gcds, irreducibles, primes
11/16	8.3	Unique Factorization Domains
11/18	9.3	Gauss' lemma and consequences
11/21	9.4	Irreducibility criteria
11/22		Thanksgiving break: 11/22 - 11/27
11/28	9.4	Extension Fields
11/30		Wrap it up

Dana P. Williams
Last updated June 23, 2014 15:20:14 EDT