Math 504, spring 2004
The text is Hungerford's Algebra, chapters IV, V (§§1–6) and VI.
I typed up some of my notes.
Examinations:
- 2004.4.7, on modules
- 2004.5.15, on “Galois theory” (the relation between field-automorphisms and subfields)
- 2004.6.10, 13:00. I am likely to ask problems from previous exams, especially the last. (Come to see the papers in my office.) I shall also ask problems from the last homework assignment below.
Homework:
- ch. IV: §1: 4, 5, 7, 9, 11, 15, 16
- §1: 17; §2: 2, 10, 13, 15
- §3: 1, 2, 3, 4, 5, 8, 13
- §4: 1, 5, 6, 9; §5: 2, 4, 11
- §6: 7
- Problems 4, 5 and 6 from the first exam
- ch. V: §1: 5(b), 6, 7, 10; §2: 6, 9, 13; §3: 8, 11
- §4: 1, 3, 5, 6, 11
- (not for turning in:) §5: all; §6: 1–6, 15; ch. VI: §1: 5, 6(c), 7, 8; §2: 1, 12(b)