| This calendar for MATH 602 shows what topics will be covered each class day and which homework problems are due. It is subject to updates, though it should always be an accurate reflection of the next two weeks. |
| Monday | Wednesday | |
|---|---|---|
| Jan. | 14 Sections 9.1 and 9.2: Polynomial rings Here is a link to today's lecture |
16 Section 9.3: Polynomial rings that are UFDs Here is a link to today's lecture |
| 21 |
23 Sections 9.4, 9.5: Irreducibility criteria; Polynomial rings over fields Here is a link to today's lecture Assignment #1 due § 9.1: 4, 6, 13 § 9.2: 3, 5, 6 |
|
| Feb. | 28 Section 10.1: Introduction to Modules Here is a link to today's lecture |
30 Section 10.2: Module homomorphisms and quotients Here is a link to today's lecture Assignment #2 due § 9.3: 1, 2, 3 § 9.4: 1 |
| 4 Section 10.3 Generation of modules Here is a link to today's lecture |
6 Section 10.4: Tensor products of modules Here is a link to today's lecture Assignment #3 due § 10.1: 1, 4, 8 (For 1, also prove r0=0, for r in R, 0 in M.) § 10.2: 3, 8, 10 |
|
| 11 Section 10.4: Tensor products of modules Here is a link to today's lecture |
13 Sections 11.1: Vector spaces Here is a link to today's lecture Assignment #4 due § 10.3: 7, 20 § 10.4: 2 |
|
| 18
Sections 11.2, 11.3: Matrix of a linear transformation; Dual spaces Here is a link to today's lecture |
20
Section 11.4: Determinants Here is a link to today's lecture Assignment #5 due § 11.1: 6, 7 § 11.2: 9, 11 |
|
| March | 25 Section 12.1: Modules over a PID Here is a link to today's lecture |
27 Section 12.1: Modules over a PID Here is a link to today's lecture Assignment #6 due § 11.3: 3, 4 |
| 4
SPRING BREAK |
6 SPRING BREAK |
|
| 11 Section 12.3: Jordan canonical form Here is a link to today's lecture |
14 Section 13.1: Field extensions Here is a link to today's lecture |
|
| 18 Section 13.2: Algebraic extensions Here is a link to today's lecture |
20 MIDTERM Here is last year's midterm. Here is a link to its solution. |
|
| 2 Section 13.3: Ruler and compass constructions Here is a link to today's lecture |
27 Section 13.4: Splitting fields and algebraic closure Here is a link to today's lecture Assignment #7 due § 13.1: 2, 3 § 13.2: 1, 3, 7, 14 |
|
| April | 1 Sections 13.5: Separable and inseparable extensions Here is a link to today's lecture |
3
Sections 13.6: Cyclotomic polynomials Here is a link to today's lecture Assignment #8 due § 13.4: 3, 4 § 13.5: 5, 8 |
| 8 Sections 14.1 |
10 Section 14.2 Assignment #9 due § 13.6: 3, 6 § 14.1: 7 |
|
| 15 Section 14.3 |
17 Section 14.3 Assignment #10 due § 14.2: 12 (also find lattice of fixed fields) |
|
| 22 Section 14.4 |
24 Section 14.6 |
|
| May |
29 Section 14.6 Assignment #11 due § 14.3: 2, 8 § 14.4: 2 |
1 |
| 6 FINAL EXAM, 1:00–3:50 pm (if not on May 3) Here is last year's final. |
8 |