| Monday | Tuesday | Wednesday | Thursday | Friday |
| January 3, 2022
|
4 | 5 classes begin
Sets |
6 | 7
Equivalence classes |
| 10
Equivalence relations |
11 | 12
Partitions; functions; |
13 | 14
Dihedral groups |
| 17
M.L. King Day, no class |
18 | 19
Group definition; examples |
20 | 21
Elementary properties of groups Quiz 1 |
| 24
Elementary properties of groups |
25 | 26
Finite groups; subgroups |
27 | 28
Test 1 |
| 31
Subgroups |
February 1 | 2
Subgroups |
3 | 4
Cyclic groups Quiz 2 |
| 7
Cyclic groups |
8 | 9
Cyclic groups |
10 | 11
Permutation groups Quiz 3 |
| 14
Permutation groups |
15 | 16
Permutation groups |
17 | 18
Permutation groups |
| 21
Test 2 |
22 | 23
Isomorphism |
24 | 25
Cosets and Lagrange |
| 28
Cosets and Lagrange Quiz 4 |
March 1 | 2
Direct product |
3 | 4
No class
|
| 7 Spring Break
|
8 Spring Break | 9 Spring Break
|
10 Spring Break | 11 Spring Break
|
| 14
Group homomorphism |
15 | 16
Group homomorphism |
17 | 18
Normal subgroups; Quotient groups (called factor groups) Quiz 5 |
| 21
First Isomorphism Theorem |
22 | 23
Examples |
24 | 25
Test 3 |
| 28
Finite abelian group statement |
29 | 30
Finite abelian group statement |
31 | April 1
Rings Quiz 6 |
| 4
Rings |
5 | 6
Integral domains |
7 | 8
Ring homomorphisms Quiz 7 |
| 11
Ideals |
12 | 13
Quotient rings |
14 | 15 Good Friday
Quotient rings |
| 18
Test 4 |
19 | 20 last class day
Prime ideals, maximal ideals. Answer questions |
21 reading/review | 22 reading/review |
| 25 | 26 | 27 | 28
3:00 – 5:00 p.m. Final Exam |
29 |