Date |
Topic |
Wed
8/30 |
0
Sets |
Fri
9/1 |
1
Examples, 2 Binary operations |
Mon
9/4 |
Labor Day - no classes |
Tues
9/5 |
3
Isomorphic structures |
Wed
9/6 |
4
Groups |
Fri
9/8 |
More
4 Groups |
Mon
9/11 |
5
Subgroups |
Tues
9/12 |
Seminar
day |
Wed
9/13 |
6
Cyclic groups |
Fri
9/15 |
8
Permutation groups |
Mon
9/18 |
More
8 Permutation groups |
Tues
9/19 |
Seminar
day |
Wed
9/20 |
9
Cycles |
Fri
9/22 |
10
Cosets |
Mon
9/25 |
More
10 Cosets |
Tues
9/26 |
Seminar
day |
Wed
9/27 |
11
Direct products |
Fri
9/29 |
13
Homomorphisms |
Mon
10/2 |
More
13 Homomorphisms |
Tues
10/3 |
Seminar
day |
Wed
10/4 |
14
Factor groups |
Fri
10/6 |
More
14 Factor groups |
Mon
10/9 |
15
Simple groups |
Tues
10/10 |
Catch
up, review |
Wed
10/11 |
First
midterm (take-home). No class meeting. |
Fri
10/13 |
16
Group actions |
Mon
10/16 |
More
16 Group actions |
Tues
10/17 |
36
Sylow theorems |
Wed
10/18 |
18
Rings and fields |
Fri
10/20 |
Fall break - no classes |
Mon
10/23 |
More
18 Rings and fields |
Tues
10/24 |
Seminar
day |
Wed
10/25 |
19
Integral domains |
Fri
10/27 |
20
Fermat's theorem |
Mon
10/30 |
21
Quotient fields |
Tues
10/31 |
Seminar
day |
Wed
11/1 |
22
Polynomial rings |
Fri
11/3 |
More
22 Polynomial rings |
Mon
11/6 |
23
Factoring |
Tues
11/7 |
Seminar
day |
Wed
11/8 |
26
Homomorphisms, factor rings |
Fri
11/10 |
27
Prime and maximal ideals |
Mon
11/13 |
More
27 Prime and maximal ideals |
Tues
11/14 |
Catch
up, review |
Wed
11/15 |
Second
midterm (take-home). No class meeting. |
Fri
11/17 |
29
Extension fields |
Mon
11/20 |
30
Vector spaces |
Tues
11/21 |
Seminar
day |
Wed
11/22 |
Thanksgiving
break - no classes |
Fri
11/24 |
Mon
11/27 |
31
Algebraic extensions |
Tues
11/28 |
31
Algebraic extensions |
Wed
11/29 |
Seminar
day |
Fri
12/1 |
32
Geometric constructions |
Mon
12/4 |
33
Finite fields |
Tues
12/5 |
Seminar
day |
Wed
12/6 |
Fundamental group |
Fri
12/8 |
More fundamental group |
Mon
12/11 |
Catch
up, review |