Week |
Tuesday |
Wednesday |
Thursday |
1 (Jan 3-7) |
No class |
Introduction (1) |
Preliminaries (0), Groups (2) |
2 (Jan 10-14) |
Groups (2), Subgroups (3) |
Subgroups (3) |
Cyclic Groups (4) |
3 (Jan 17-21) |
Cyclic Groups (4) |
Permutations (5) |
Permutation Groups (5) |
4 (Jan 24-28) |
Isomorphisms (6) |
Isomorphisms (6) |
Student Activity-1 |
5 (Jan 31-Feb 4) |
Cosets (7) |
Cosets (7) |
Test 1 |
6 (Feb 7-11) |
no class |
External Direct Product (8) |
External Direct Product, Introduction to Cryptography (8) |
7 (Feb 14-18) |
Normal Subgroups (9-to Theorem 9.1) |
Factor Groups (9-to Example 13) |
Factor Groups (9), Introduction to Homomorphisms (10) |
8 (Feb 21-25) |
No class |
Properties of Homomorphisms (10) |
First Isomorphism Theorem (10), Fundamental Theorem of Finite Abelian Groups (11), Introduction to Rings (12) |
9 (Feb 28-March 4) |
Properties of Rings (12), Introduction to Integral Domains (13) |
Fields, Characteristic (13), Ideals (14) |
Ideals and Factor Rings (14) |
10 (March 7-11) |
Prime and Maximal Ideals (14) |
Ring Homomorphisms (15) |
Test 2 |
11 (March 14-15) |
Review |
no class |
Final Exam |