Professor:
Dr. Janet Vassilev
Office: SMLC 324
Office
Hours: TWR 11 am 12 pm and by appointment.
Telephone: 505 2772214
email: jvassil@math.unm.edu
webpage:
http://www.math.unm.edu/~jvassil
Date 
Section 
Topic

Homework 
1/17 
2.1 
Principal Ideal Domains and Euclidean Domains 

1/19 
2.2 
Unique
Factorization Domains

Homework 1 
1/24 
2.2 
Noetherian rings and Unique Factorization Domains 

1/26 
2.3, 1.3

Polynomial
Rings, Field of Fractions

Homework 2

1/31 
2.4

Irreducible polynomials


2/2 
3.1 
The degree of an extension 
Homework 3

2/7 
3.2

Extensions
and Polynomials


2/9 
3.2 
Extensions and Polynomials 
Homework 4: 3.1, 3.2, 3.4, 3.5, 3.6, 3.7, 3.9, 3.11, 3.13

2/14 
3.3

Polynomials and Extensions 

2/16 
3.3

Polynomials and Extensions 
Homework 5

2/21 
5

Splitting Fields 

2/23 
Review 

2/28 
Midterm 1 

3/1 
6 
Finite Fields 
Homework 6: 5.1, 5.3, 5.4, 6.1, 6.2, 6.3, 6.4, 6.5, 6.6(ii) 
3/6 
7.1, 7.2 
Monomorphisms between Fields,Automorphisms, Groups and Subfields 

3/8 
7.2 
Automorphisms, Groups and Subfields 
Homework 7: 6.7, 7.1, 7.2, 7.3, 7.5 
3/20 
7.2 
Automorphisms, Groups and Subfields 

3/22 
7.3 
Normal Extensions 
Homework 8

3/27 
7.4

Separable Extensions 

3/29 
7.4, 7.5 
Separable ExtensionsThe Galois Correspondence 
Homework 9

4/3 
7.6 
The Fundamental Theorem of Galois Theory 

4/5 
7.6, 7.7 
The
Fundamental Theorem of Galois Theory Continued

Homework 10

4/10 
Review 

4/12 
Midterm 2 

4/17 
7.6 
The
Fundamental Theorem of Galois Theory Continued, Free Groups and relations


4/19 
8.1 
Quadratics, Cubics and Quartics, solutions by radicals 
Homework 11 
4/24 
8.2, 8.3

Cyclotomic Polynomials, Cyclic Extensions 

4/26 
10

Groups
and Equations

Homework 12Due on day of the final as part of your final exam grade. 
5/1 
10

Groups
and Equations


5/3 
Review 

5/10 
Final
Exam 10 am
