Professor: Dr.
Janet Vassilev
Office: Humanities
Office Hours: MWF 10 am11 am and by
appointment.
Telephone: (505) 2772214
email: jvassil@math.unm.edu
webpage: http://www.math.unm.edu/~jvassil
Date

Chapter

Topic

Homework

1/21

10.1, 10.2

Modules and Module Homomorphisms^{} 

1/23

10.3

Free Modules
and Direct sums


1/26

10.4

Tensor Products


1/28

10.4

Tensor
continued


1/30

10.5

Exact Sequences


2/2

10.5

Projective and Injective
Modules


2/4

10.5

Flat Modules


2/6

11.1, 11.2

Vector Spaces
and Linear Transformations


2/9

11.3, 11.4

Dual Vector
Spaces and Determinants


2/11

11.5

Tensor Algebras


2/13

11.5

Symmetric and Exterior
Algebras


2/16

12.1

Modules over
PID’s


2/18

12.1

Modules over
PID’s continued


2/20

12.2

Rational
Canonical Form


2/23


Review


2/25


Midterm 1


2/27

12.2

Rational
Canonical Form continued


3/2

12.3



3/4

13.1

Field
Extensions


3/6

13.2

Algebraic
Extensions


3/9

13.3

Straightedge
and Compass Constructions


3/11

13.4

Splitting
Fields and Algebraic Closures


3/13

13.5

Separable and
Inseparable Extensions


3/23

13.6

Cyclotomic
Extensions


3/25

14.1

Intro to Galois
Theory


3/27

14.2

The Fundamental
Theorem Galois Theory


3/30

14.2

The Fundamental
Theorem Continued


4/1

14.3

Finite Fields


4/3

14.4

Primitive
Element Theorem


4/6


Review


4/8


Midterm II


4/10

14.5

Abelian
Extensions


4/13

14.6

Galois Groups
of Polynomials


4/15

14.7

Solvable and
Radical extensions


4/17

14.8

Galois groups
over the rationals


4/20

14.9

Transcendental
Extensions


4/22

15.1

Affine
Algebraic Sets


4/24

15.2

Radicals and
Affine Varieties


4/27

15.3

Integral
Extensions


4/29

15.3

Hilbert’s
Nullstellensatz


5/1

15.4

Localization


5/4

15.5

Spectrum of a
Ring


5/6


Review


5/8


Review


5/15


Final exam

