Math 4720 & 5210 Fall 2010

Tentative Calendar



August

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


1
2
3
4
5
6
7


8
9
10
11
12
13
14


15
16
17
18
19
20
21


22
23
Chapter 1 Survey:
Direct Products
25
6.3
Free Groups
27
28


29
30
Symmetric Groups, Matrix Groups, & Group Actions





September

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


1
More Group Actions & Cyclic Groups
3
4


5
6
Subgroups Generated by a Subset, Subgroup Lattices, & Homomorphisms
8
Cosets & Quotient Groups
10
11


12
13
More Isomorphism Theorems & Holder's Program (finish Ch 3)
15
No Class
Convocation
17
18


19
20
Group Actions & The Class Equation
22
4.5
The Sylow Theorems
24
25


26
27
Applications of the Sylow Theorems
29
Questions about take home Test #1





October

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


1
2


3
4
7.1 & 7.2
Ring Definitions & Examples
6
7.2
More Examples & Finite Rings
8
9


10
11
7.3
Homomorphism & Quotients
13
7.4
Properties of Ideals
15
16


17
18
7.5 & 7.6
Fraction Fields & Chinese Remaindering
20
No Class
22
23


24
25
8.1
Euclidean Domains
27
8.2 & PIDs
29
30


31





November

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


1
8.3
UFDs
3
9.1-9.3
Polynomial Rings over Fields and UFDs
5
6


7
8
9.4 & 9.5
Irreducibility Criterion
10
10.1
Modules
12
13


14
15
Test #2
17
10.2 & 10.3
Quotients/Homomorphisms of Modules & Free Modules
19
20


21
22
12.1
Modules over PIDs
24
No Class
26
27


28
29
Continue 12.1





December

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


1
12.2 & 12.3
 Canonical Forms
3
4


5
6
Reading Day
8
9
10
11


12
13
Final Exam
15
16
17
18


19
20
21
22
23
24
25


26
27
28
29
30
31








Last Updated November 7th, 2010.