Week 1
|
Ending Friday January 20
|
Review linear algebra, vector
spaces. Section 18, 19 (Rings, integral domains and
fields)
|
Week 2
|
Ending Friday January 27
|
Section 20, 22, 23 (Fermat's and
Euler's Theorems, rings of polynomials, and
factorization)
|
Week 3
|
Ending Friday February 3
|
Section 26, 27, 45 (Homomorphisms
and factor rings, prime and maximal ideals, and UFDs)
|
Week 4
|
Ending Friday February 10
|
Section 46, 47 (EDs and Gaussian
integers)
|
| Week 5 |
Ending Friday February 17
|
Section 29, 30, 31 (Extension
fields, vector spaces, and algebraic extensions)
|
| Week 6 |
Ending Friday February 24
|
Section 32, 33. (Geometric
constructions and finite fields)
|
| Week 7 |
Ending Friday March 2
|
Review for Midterm I, Wednesday
March 7.
|
| Week 8 |
Ending Friday March 9
|
Section 48 (Automorphisms of
fields)
|
| Week 9 |
Ending Friday March 16
|
Section 49, 50 (Isomorphism
extension theorem, normal extensions)
|
| Week 10 |
Ending Friday March 23
|
Section 51, 52 (Separable and
inseparable extensions)
|
--
|
--
|
SPRING BREAK
|
| Week 11 |
Ending Friday April 6
|
Review, Midterm II, Friday April
6
|
| Week 12 |
Ending Friday April 13
|
Section 53, 54 (Galois theory,
and examples) |
| Week 13 |
Ending Friday April 20
|
Section 55, 56 (Cyclotomic
extensions and quintics)
|
| Week 14 |
Ending Friday April 27
|
Section 16, 17, 36 (Group actions
on sets, and the Sylow Theorems)
|
FINAL EXAM
|
|
SATURDAY MAY 5, 4:30 PM - 7:00 PM |