| Date |
Topic |
Homework
(501) |
Homework
(200) |
Due
date |
| WEEK 1 |
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| 01/14 |
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| 01/16 |
26 Ideals and factor rings |
1,3,12,14,17,21,27 |
1,3,12,14,17,21,26,27,30,31,37 |
Wed, 01/30 |
| WEEK 2 |
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| 01/23 |
27 Prime and maximal ideals |
2,4,6,8,26,27,38 |
2,4,6,8,24,26,27,28,32,38 |
Wed 01/30 |
| WEEK 3 | ||||
| 01/28 |
29 Introduction to extension fields |
2,4,6,8,17,18,25 |
2,4,6,8,17,18,25,30,31,36,37 | Mon 02/11 |
| 01/30 |
30 Vector spaces |
|
||
| WEEK 4 | ||||
| 02/04 |
31 Algebraic extensions |
1,3,5,7,9,11,13 |
1,3,5,7,9,11,13,27,28 | Wed 02/20 |
| 02/06 |
32 Geometric constructions |
3,4,5 |
3,4,5, |
Wed 02/ 20 |
| WEEK 5 | ||||
| 02/11 |
Review |
|||
| 02/13 |
EXAM 1 |
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| WEEK 6 | ||||
| 02/18 |
33 Finite fields |
10 |
10 |
Wed 03/05 |
| 02/20 |
34 Isomorphism Theorems |
1,2,3,4 |
1,2,3,4,7 |
Wed 03/05 |
| WEEK 7 |
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| 02/25 |
35 Series of groups |
1,3,5,7,8,9 |
1,3,5,7,8,9,18 | Wed 03/19 |
| 02/27 |
16 Group action on a set |
1,218,19 (draw diagrams!) | 1,2,3,18,19,20 (draw diagrams!) |
Wed 03/19 |
| WEEK 8 |
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| 03/03 |
36 Sylow Theorems |
6,13,17 |
6,13, 16,17,18 |
Wed 03/26 |
| 03/03 |
37 Applications of Sylow Theorems |
|
||
| 03/05 |
39 Free groups | 1,3,4 |
1,3,4 |
Wed 03/26 |
| WEEK 9 |
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| 03/17 |
40 Group presentations | |
|
|
| 03/19 |
45 Unique factorization domains | 9,10, |
9,10,25,26 |
Tue 04/29 |
| WEEK 10 |
||||
| 03/24 |
Review |
|
|
|
| 03/26 |
EXAM 2 |
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| WEEK 11 |
||||
| 03/31 |
46 Euclidean domains | 3,6,9 |
3,6,9,15 |
Tue 04/29 |
| 04/02 | 47 Gaussian integers | 1,2,3,4,5,6,7 |
1,2,3,4,5,6,7 | Tue 04/29 |
| WEEK 12 |
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| 04/07 |
48 Automorphisms of fields | 2,4,6,8,10,12,16,18,20 |
2,4,6,8,10,12,16,18,20 | Mon 05/05 |
| 04/02 |
49 The Isomorphism Extension Theorem | |||
| WEEK 13 | ||||
| 04/14 |
50 Splitting fields | |||
| 04/16 |
51 Separable extensions | |||
| WEEK 14 |
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| 04/21 |
53 Galois Theory |
2,4,6,8,9,11 |
2,4,6,8,9,11,12 |
Mon 05/05 |
| 04/23 |
54 Illustrations of Galois
Theory |
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| WEEK 15 |
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| 04/28 |
56 Insolvability of the quintic |
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| FINALS |
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| 05/05 |
FINAL EXAM (3:30-5:30) |
Check other important dates on the Academic
Calendar