Professor:
Dr. Janet Vassilev
Office: SMLC 324
Office
Hours: TWTh 11 am12 noon and by appointment.
Telephone: (505)
2772214
email: jvassil@math.unm.edu
webpage: http://www.math.unm.edu/~jvassil
Date

Section

Topic

Homework

1/21

F(18,19,26)L(III:13) 
Rings and Ideals and Factor Rings


1/23

F(27, 21)L(III:3,4) 
Special Factor Rings and associated ideals, Quotient Fields

Homework 1

1/28

F(23)L(IV:15) 
Factorization of Polynomials 

1/30

F(45)L(IV:6) 
Principal Ideal Domains and Unique Factorization Domains 
Homework 2

2/4

F(46) 
Euclidean Domains and Gaussian Integers


2/6

F(47) 
Multiplicative Norms

Homework 3

2/11

F(47,29)L(VII:1) 
Multiplicative norms continued and Introduction to Field Extensions


2/13

F(30)L(V:1,2) 
Vector spaces, bases and dimension 
Homework 4

2/18

F(31)L(VII: 1) 
Algebraic Extensions 

2/20 
F(31)L(VII: 1) 
Algebraic Extensions continued 
Homework 5

2/25

Review


2/27

Midterm 1


3/4

F(31, 33)L(VII: 1,VIII:1,2) 
Algebraic Closures of Fields and Finite Fields


3/6

F(34) 
Isomorphism Theorems

Homework 6

3/11

F(34, 35) 
Isomorphism Theorems,


3/13

F(35) 
Series of Groups 
Homework 7

3/25

F(37)L(II:9) 
Sylow Theorems


3/27

F(37)L(II:9) 
Sylow Theorems 
Homework 8

4/1

F(48, 49)L(VII:2) 
Automorphisms of Fields


4/3

F(49)L(VII:2) 
Isomorphism Extension Theorem 
Homework 9

4/8

F(50,51)L(VII:2)

Splitting fields


4/10

F(51)L(VII:3) 
Separable Extensions 
Homework 10

4/15

F(51)L(VII:3) 
Separable Extensions and Totally Inseparable Extensions


4/17

F(52,53)L(VII:4,5) 
Galois Theory 
Homework 11 
4/22

Review


4/24

Midterm 2


4/29

F(52,53)L(VII:4,5) 
Galois Theory


5/1

F(54)L(IV: 7,8)

Polynomials in several variables and symmetric polynomials 
Homework 12 
5/6

F(55, 56)L(VII:6) 
Solvability by radicals and Insolvability of the Quintic 

5/8

Review 

5/13

Final exam

