Math 25900: Algebra Spring 2018
All reading is from Dummit and Foote, and homeworks are posted as pdf and TeX files. The listed exercises should be handed in on the first Monday following the date they are listed unless otherwise indicated. If you are reading this now, the homework is almost definitely not accurate, I will write most of the problems myself rather than use exercises from the book. (My problems will be harder.) Similarly, the Midterm dates are probably not accurate.

Assignments   Last updated: December 24, 2017

HW # Date Topic(s) Sections Homework
1 Mon 3/26 Algebraic Extensions 13.1 1,3
2 Wed 3/28 Algebraic Extensions 13.2 7, 13, 14, 16
3 Fri 3/30 Algebraic Extensions 13.2  
4 Mon 4/2 Splitting fields; algebraic closures 13.4 1, 2
5 Wed 4/4 Splitting fields; algebraic closures 13.4 3, 5
6 Fri 4/6 Separable & inseparable extensions 13.5 2, 3, 4, 5, 7
7 Mon 4/9 Finite fields 13.5  
8 THU 4/12 Groups acting on Fields 14.1 1, 4, 5, 7, 8, 10
9 Fri 4/13 Fundamental Theorem 14.2  
10 Mon 4/16 Fundamental Theorem 14.2 2, 3, 4, 9, 13, 14
11 Wed 4/18 Fundamental Theorem 14.2  
12 Fri 4/20 Fundamental Theorem 14.2 5, 13
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
16 Fri 5/4 Cyclotomic and abelian extensions 14.5  
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  
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
23 Mon 5/21 Kummer Theory    
24 Wed 5/23 Kummer Theory 14.8  
25 Fri 5/25 Advanced Topics 14.8  
NO CLASS Mon 5/28 NO CLASS - MEMORIAL DAY
  Thur 5/31-
Mon 6/4
Reading Period - NO LECTURES
Review TBA Review session, TBA
FINAL TBA
TBA
Final examination TBA

mike@math.northwestern.edu
Copyright © 1999 - 2007 Michael R. Stein