Assignments

1	Monday, 1/14	Chapter 1: Classical Algebra	Review the Four Classical Polynomial Problems given in class
2	Wednesday, 1/16	Chapter 2: Polynomials over the Complex Numbers	Ch 1 HW: 2,4,5*,6, 7, (9 or 11), 13
3	Friday, 1/18	Fundamental Theorem of Algebra, Ch 3: Review of Irreducibility	Ch 2 HW: 5, 10, 14
4	Wednesday, 1/23	Chapter 4: Field Extensions	Ch 3 HW: 4,5, 8, 10, 12 (bonus) 13, 14, 15, 16, 17
5	Friday, 1/25	Chapter 5: Simple Extensions	Ch 4 HW: 4, 5, 6, 7 (with hints from class), 8, 10
6	Monday, 1/28	Chapter 5,6: Minimal Polynomials and Extension Degrees	Ch 5 HW: 1, 3, 5, 6, 7, 8
7	Wednesday, 1/30	Chapter 6: Fields, Vector Spaces, and Isomorphisms	Ch 6 HW: 3, 4, 6, 8, 9, 11, 13, 14
8	Friday, 2/1	Cyclotomy and Roots of Unity	No new homework (yet)
9	Monday, 2/4	Chapter 8: Introduction to Galois Theory	Ch 8 HW: Exercise 1
10	Wednesday, 2/6	Chapter 8,9: Normality and Splitting Fields	Supplemental Exercises
11	Friday, 2/8	More on Groups
12	Monday, 2/11	Chapter 9: Field Extensions and Polynomials	Ch 9: 9.1, 5, 6, 8, 9 (TF)
13	Wednesday, 2/13	Chapter 9, 10: Separability, Linear Independence	Ch 10: 2, 3, 4, 5(TF)
14	Friday, 2/15	Ch 10, 11: Fixed Fields, Monomorphisms, and Normal Closures
15	Monday, 2/18	Chapter 11: More on the Normal Closure, Enumeration	Ch 11: 2, 3, 4
16	Wednesday, 2/20	Ch 12: The Fundamental Theorem of Galois Theory	Ch 12: 3, 4, 5
17	Friday, 2/22	Ch 13: A Mild Example: x^4-2	Ch 13: 2, 3, 4
18	Monday, 2/25	A Moderate Example: x^10-2, and SemiDirect Products
19	Wednesday, 2/27	A Spicy Example: x^8-2, Ch 14: Solvability
20	Friday, 3/1	Ch 15: An Insoluble Quintic
21	Monday, 3/4	Midterm Review
22	Wednesday, 3/6	MIDTERM EXAM
23	Friday, 3/8	PI DAY (observed)
24	Monday, 3/25	Groups Acting on Sets, The Orbit-Stabilizer Theorem, The Class Equation	Ch 14 (Judson): 5, 6, 9 10, 11, 15, 20, 21, 23, 24
25	Wednesday, 3/27	Burnside's Lemma and Counting Colorings
26	Friday, 3/31	The Sylow Theorems