MATH 602 CALENDAR
SPRING 2013

 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

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