Math 331-3: MENU: Abstract Algebra Fall 2012
All reading and homework is from Dummit and Foote. Since I will make changes in the schedule, you should make a point of checking frequently to be sure you have the most up to date list of assigned problems and due dates.

The listed exercises should be handed in at the beginning of lecture on the due date indicated.

# Assignments Last updated: March 27, 2012

HW # Date Topic(s) Sections Homework due date
1 Mon 3/26 Algebraic Extensions 13.1 1,3 M 4/2
2 Wed 3/28 Algebraic Extensions 13.2 7, 13, 14, 16 M 4/2
3 Fri 3/30 Algebraic Extensions 13.2
4 Mon 4/2 Splitting fields; algebraic closures 13.4 1, 2 M 4/9
5 Wed 4/4 Splitting fields; algebraic closures 13.4 3, 5 M 4/9
6 Fri 4/6 Separable & inseparable extensions 13.5 2, 3, 4, 5, 7 M 4/9
7 Mon 4/9 Finite fields 13.5   M 4/16
8 THU 4/12 Groups acting on Fields 14.1 1, 4, 5, 7, 8, 10 M 4/16
9 Fri 4/13 Fundamental Theorem 14.2
10 Mon 4/16 Fundamental Theorem 14.2 2, 3, 4, 9, 13, 14 M 4/23
11 Wed 4/18 Fundamental Theorem 14.2
12 Fri 4/20 Fundamental Theorem 14.2 5, 13 M 4/23
12.5 Mon 4/23 Fundamental Theorem 14.2
HT Wed 4/25 Midterm
13 Fri 4/27 Trancendental Numbers
14 Mon 4/30 Cyclotomic and abelian extensions 14.5
15 Wed 5/2 Cyclotomic and abelian extensions 14.5 1, 5 M 5/7
16 Fri 5/4 Cyclotomic and abelian extensions 14.5 These problems M 5/7
17 Mon 5/7 Cyclotomic and abelian extensions 14.5
18 Wed 5/9 Radical Extensions 14.7
19 Fri 5/11 Galois Groups of Radical Extensions 14.7 This problem
20 Mon 5/14 Galois Groups of towers
21 Thu 5/17 Solvable Groups, Insolvability of the Quintic 6.1, 14.7
22 Fri 5/18 Computation of Galois Groups over Q 14.6 19, 20, 33 M 5/21
23 Mon 5/21 Kummer Theory
24 Wed 5/23 Kummer Theory 14.8
25 Fri 5/25 Advanced Topics 14.8 These problems
NO CLASS Mon 5/28 NO CLASS - MEMORIAL DAY
Thur 5/31-
Mon 6/4