| 1/23 - 1/27 |
1.3 - GCDs, division, Euclid's Algorithm |
| 1/30 - 2/3 |
1.4 - The Fundamental Theorem of Arithmetic
1.5 - Congruences and Fermat's Theorem
|
| 2/6 - 2/10 |
1.5 - The Chinese Remainder Theorem
2.1 - Sets, maps and equivalence relations |
| 2/13 - 2/17 |
2.2 - Permutations
|
| 2/20 - 2/24 |
2.3 - Groups and examples
|
| 2/27 - 3/2 |
2.4 - Subgroups and Lagrange's Theorem
2.5 - Homomorphisms of groups
|
| 3/5 - 3/9 |
2.6 - Quotient Groups and Isomorphisms Theorems
|
| 3/12 -3/16 |
Prelim: Part I, 3/12 & Part II, 3/14 in class — covers through 2.5
Cayley graphs
|
| Spring
Break 3/17 – 3/25 |
| 3/26 - 3/30 |
2.7 - Group actions
|
| 4/2 - 4/6 |
2.8 - Counting with groups
3.1 - Rings and subrings
3.2 - Fields
|
| 4/9 - 4/13 |
3.3 - Polynomial rings
3.4 - Homomorphisms of rings
|
| 4/16 - 4/20 |
3.5 - From numbers to polynomials |
| 4/23 - 4/27 |
3.6 - Unique factorization
Summary handout
3.7 - Irreducibility
|
| 4/30 - 5/4 |
3.8 - Quotient rings and finite fields
|
|
Final Exam 5/18, 2:00pm–4:30pm, MLT 406 — comprehensive
|