Textbook
Sections
|
Problems
|
due
|
| Chapter 2: Operations, Chapter 3: Groups
|
2A/ 2, 4; 2B/ 2, 4; 2C/ 1, 2, 4; 3A/ 1, 2.
|
Thursday, January 11 |
| Chapter 3: Coding, Chapter 4: Group properties
|
3F/ 1, 4, 5, 6; 3G/ 1, 2, 3, 4; 4A/ 2, 4.
|
Thursday, January 18 |
| Chapter 4: Group properties, small groups
|
4B/ 2, 4; 4C/ 2, 4; 4F/ 1, 2, 3, 4, 5.
|
Thursday, January 25 |
| Chapter 5: Subgroups, coding
|
5B/ 2, 3; 5C/ 1, 3; 5D/ 3; 5F/ 2; 5H/ 1, 2, 5, 6.
|
Thursday, February 1 |
| Chapter 6: Functions, Chapter 7: Permutations
|
6B/ 1; 6C/ 4, 5, 6; 6E/ 2; 7A/ 2, 4; 7B/ 2, 4; 7F/ 2, 4.
|
Thursday, February 8 |
| Chapter 8: Permutations
|
8A/ 2, 4; 8B/ 2, 4; 8C/ 2, 4; 8D/ 2, 4.
|
Thursday, February 15 |
| Chapter 9: Isomorphic or not?
|
9A/ 2, 3; 9B/ 2; 9C/ 2 with G = {1, i, -1, -i}, 4, 6; 9D/ 2;
9E/ 1, 3, 4.
|
Thursday, February 22 |
| Chapter 10: Order of elements
|
10A/ 2; 10B/ 2, 4, 6; 10C/ 2, 4, 6; 10D/ 3, 4.
|
Thursday, March 1 |
| Chapters 11, 12: Cyclic groups, equivalence relation
|
10G/ 1, 2; 11B/ 2, 4; 11C/ 1, 2; 12B/ 2, 4; 12D/ 1, 2, 4.
|
Thursday, March 15 |
| Chapter 13: Cosets, Lagrange's Theorem
|
13A/ 1, 2, 4, 5; 13B/ 2; 13C/ 2, 3; 13E/ 1; 13F/ 1, 2, 3.
|
Thursday, March 22 |
| Chapter 13: Lagrange's Theorem, Coding revisited
|
13C/ 1, 2, 3 (determine all groups of order 4 up to isomorphy);
13D/ 1, 2; 13K/ 1, 2, 3, 4, 5.
|
Thursday, March 29 |
| Chapter 14: Homomorphisms
|
14A/ 2, 5; 14B/ 1, 2; 14C/ 1, 3; 14D/ 1, 3.
|
Thursday, April 5 |
| Chapter 14: Normal subgroups, Chapter 15: Quotients
|
14D/ 1, 2, 3; 14G/ 1, 2, 3; 15A/ 1, 2, 3; 15B/ 1, 2, 3.
|
Thursday, April 12 |