Modern Algebra

Calendar

LEC #	TOPICS	KEY DATES
1	Groups
2	Subgroups
3	Cosets
4	Cyclic Groups	HW 1 Due
5	Permutation Groups
6	Conjugation in Sn
7	Isomorphisms	HW 2 Due
8	Homomorphisms and Kernels
9	Quotient Groups	HW 3 Due
10	The Isomorphism Theorems
11	The Alternating Groups	HW 4 Due
12	Presentations and Groups of Small Order
13	Sylow Theorems and Applications	HW 5 Due
14	Rings	HW 6 Due
E1	Midterm 1
15	Basic Properties of Rings
16	Ring Homomorphisms and Ideals	HW 7 Due
17	Field of Fractions	HW 8 Due
18	Prime amd Maximal Ideals
19	Special Domains	HW 9 Due
20	Euclidean Domains
E2	Midterm 2	HW 10 Due
21	Polynomial Rings
22	A Quick Primality Test	HW 11 Due
23	Group Actions and Automorphisms
24	Review
E3	Final Exam