Week  Date  Text  Topic  Homework from Text  Additional Homework  
0
 W  Sept 1  Introduction, preview of coming attractions and the tragic life of Evariste Galois (18111832)  
1
 W  Sept 8  6.1, 6.2,6.3  Rings, Integral domains, Fields  6.1: 11, 16 6.2: 12, 13 6.3: 23, 33, 39  
2 
M  Sept 13  6.3  Fields  6.3: 25, 31, 34  
W  Sept 15  7.1, 7.2  Ring homomorphisms, Ideals  7.2: 8, 16, 19, 23, 26 7.3: 19, 20, 21  
3  M  Sept 20  8.1, 8.2  Polynomial rings  8.1: 9
8.2: 2  
W  Sept 22  8.3, 8.4  The division algorithm
Irreducible polynomials  8.3: 14
8.4: 1, 9, 28  
4
 M  Sept 27  8.6  Ideals and quotients in polynomial rings  8.6: 9,11  
W  Sept 29  8.7  Quotients in polynomial rings  8.7: 4, 5, 7, 8, 21  
5

M  Oct 4  10.1, 10.2  Vector spaces algebraic extensions  10.1:20 10.2: 2, 4, 12, 18 

W  Oct 6  10.2  Algebraic extensions  10.2:  
6
 M  Oct 11  Fall break  
W  Oct 13  10.3  Splitting fields  10.3: 2, 3, 6, 12, 15, 22, 27  
7

M  Oct 18  Review for first midterm exam  
W  Oct 20  FIRST MIDTERM EXAM in class  Further Information  
8

M  Oct 25  10.4  Finite fields  10.4: 1, 5, 8, 20, 21, 22, 25
 
W  Oct 27  11.1  Ruler and Compass Constructions  11.1: 1, 2, 6
 11.3: 7  
9
 M  Nov 1  11.2  Classical Problems  11.2:
 
W  Nov 3  12.1  Galois groups  12.1: 1, 2, 3, 4, 6, 9, 15  
10
 M  Nov 8  12.1  Galois Groups  12.1:
 
W  Nov 10  12.2  Galois Theory  12.2: 5, 6, 7, 8, 19, 20, 21, 22  12.1: 18, 20
 
11
 M  Nov 15  12.2  Galois Theory  12.2:
 
W  Nov 17  Review for second midterm exam
 No HW due. However, I suggest instead that you do the
sample exam problems.  
12
 M  Nov 22  SECOND MIDTERM EXAM in class  Further Information 

W  Nov 24 
NO CLASS, Thanksgiving recess
 
13
 M  Nov 29  5.3  Solvable Groups  5.3: 1, 3, 4, 11
 
W  Dec 1  12.5  Solvability by radicals  12.5:
 
14

M  Dec 6  12.5  Solvability by radicals  12.5: 1, 2, 4, 12 ,14  This assignment is due on Monday 12/13.
 
W  Dec 8  12.5  Solvability by radicals  12.5:
 
15  M  Dec 13  12.5  Galois' Theorem at last!  12.5:  
Take Home Final exam due at 2 pm, Friday December 17.  Further Information
