Monday | Tuesday | Wednesday | Thursday | Friday |
August 23, 2021 classes begin Sets |
24 | 25
Equivalence relations |
26 | 27
Equivalence classes |
30
Partitions; functions; |
31 | September 1
Dihedral groups |
2 | 3
Group definition; examples |
6
Labor Day, no class |
7 | 8
Elementary properties of groups |
9 | 10
Elementary properties of groups Quiz 1 |
13
Finite groups; subgroups |
14 | 15
Subgroups |
16 | 17
Test 1 |
20
Subgroups |
21 | 22
Cyclic groups |
23 | 24
Cyclic groups Quiz 2 |
27
Cyclic groups |
28 | 29
Permutation groups |
30 | October 1
Permutation groups Quiz 3 |
4
Permutation groups |
5 | 6
Permutation groups |
7 | 8 Homecoming
No class |
11
Test 2 |
12 | 13
Isomorphism |
14 | 15
Cosets and Lagrange |
18
Cosets and Lagrange |
19 | 20
Direct product |
21 | 22
Direct product Quiz 4 |
25
Group homomorphism |
26 | 27
Group homomorphism |
28 | 29
Normal subgroups; Quotient groups (called factor groups) Quiz 5 |
November 1
First Isomorphism Theorem |
2 | 3
Examples |
4 | 5
Test 3 |
8
Finite abelian group statement |
9 | 10
Finite abelian group statement |
11 | 12
Rings Quiz 6 |
15
Rings |
16 | 17
Integral domains |
18 | 19
Integral domains Quiz 7 |
22
Ring homomorphisms |
23 | 24 Thanksgivig
|
25 Thanksgiving | 26 Thanksgiving
|
29
Ideals |
30 | December 1
Quotient rings |
2 | 3
Quotient rings |
6
Test 4 |
7 | 8 last class day
Prime ideals, maximal ideals. Answer questions |
9 reading/review | 10 reading/review |
13 | 14 | 15
3:00 – 5:00 p.m. Final Exam |
16 | 17 |