Assignments for Weeks 6 and 7

Midterm test on Wednesday, October 13, covers through "Congruence".

Reading

Read the remainder of Chapter 3. Deemphasize the three proofs on pp. 133-134 and 136-137, the "notes for advanced students" on pp. 141-142 and 143-144, and any field theory you don't understand on pp. 139-141.

Discussion questions

We will work on these in class:

Homework due Wednesday, October 20 (in Week 8)

  1. Exercise 26, p. 151. (Prop. 3.17)
  2. Exercise 27, p. 152. (Prop. 3.18)
  3. Exercise 31, p. 152. (Prop. 3.21) (W) Suggestion: You may find it helpful to prove an analog of Prop. 3.12 first.
  4. Exercise 32, p. 152. (Prop. 3.22)
  5. Exercise 34, p. 152.
  6. Read the proofs in Exercises 20 and 24 (Props. 3.11 and 3.14) but don't hand anything in.