Math 4720/5210 Spring 2012
Tentative Schedule



January

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


1
2
3
4
5
6
7


8
9
10
11
12
13
14


15
16
Beginnings & The Dihedral Group as a Free Group
18
More about Free Groups (6.3) and a review of Cylic groups
20
21


22
23
Symmetric Groups
25
An is simple, Matrix Groups and Quaternions
27
28


29
30
Group actions & Homomorphisms





February

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


1
Cosets, Subgroups Generated by a Subset, & Subgroup Lattices
3
4


5
6
Orbit-Stabilizer, Normalizers, Centralizers
8
Quotients & Isomorphism Theorems
10
11


12
13
Finish isomorphism theorems & the class equation
15
4.5
The Sylow Theorems
17
18


19
20
Applications of the Sylow Theorems
22
Catch Up & Review
24
25


26
27
Test #1
29





March

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


7.1 & 7.2
Ring Definitions & Examples
2
3


4
5
7.2
More Examples & Finite Rings
7
7.3
Homomorphism & Quotients
9
10


11
12
No Class
14
No Class
16
17


18
19
7.4
Properties of Ideals
21
7.5 & 7.6
Fraction Fields & Chinese Remaindering
23
24


25
26
8.1
Euclidean Domains
28
8.2 & PIDs
30
31




April

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


1
2
8.3
UFDs
4
9.1-9.3
Polynomial Rings over Fields and UFDs
6
7


8
9
No Class
11
9.4 & 9.5
Irreducibility Criterion
13
14


15
16
Test #2
18
10.1
Modules
20
21


22
23
10.2 & 10.3
Quotients/Homomorphisms of Modules & Free Modules
25
12.1
Modules over PIDs
27
28


29
30





May

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday


Finish Ch. 12
2
Canonical Forms
4
5


6
7
Presentations
9
10
11
12


13
14
15
16
17
18
19


20
21
22
23
24
25
26


27
28
29
30
31









Last Updated February 15th, 2012.