Monday | Tuesday | Wednesday | Thursday | Friday |
January 9, 2023 classes begin
Sets |
10 | 11
Equivalence relations |
12 | 13
Equivalence classes |
16 M.L. KingĀ Day, no class
|
17 | 18
Partitions; functions; |
19 | 20
Dihedral groups |
23
Group definition;examples |
24 | 25
Group definition; examples |
26 | 27
Elementary properties of groups Quiz 1 |
30
Elementary properties of groups |
31 | February 1
Finite groups; subgroups |
2 | 3
Test 1 |
6
Subgroups |
7 | 8
Subgroups |
9 | 10
Cyclic groups Quiz 2 |
13
Cyclic groups |
14 | 15
Cyclic groups |
16 | 17
Permutation groups Quiz 3 |
20
Permutation groups |
21 | 22
Permutation groups |
23 | 24
Permutation groups |
27
Test 2 |
28 | March 1
Isomorphism |
2 | 3
Cosets and Lagrange |
6
No class
|
7 | 8
Direct product Quiz 4 |
9 | 10
Direct product
|
13 Spring Break
No class |
14 Spring Break | 15 Spring Break
No class |
16 Spring Break | 17 Spring Break
No class |
20
Group homomorphism |
21 | 22
Group homomorphism |
23 | 24
Normal subgroups; Quotient groups (called factor groups) Quiz 5 |
27
First Isomorphism Theorem |
28 | 29
Examples |
30 | 31
Test 3 |
April 3
Finite abelian group statement |
4 | 5
Finite abelian group statement |
6 | 7 Good Friday
Rings Quiz 6 |
10
Rings |
11 | 12
Integral domains |
13 | 14
Ring homomorphisms Quiz 7 |
17
Ideals |
18 | 19
Quotient rings |
20 | 21
Quotient rings |
24
Test 4 |
25 | 26 last class day
Prime ideals, maximal ideals. Answer questions |
27 reading/review | 28 reading/review |
May 1 | 2 | 3 | 4
3:00 – 5:00 p.m. Final Exam |
5 |