MATH 404A Spring, 2018

INSTRUCTOR: Ralph Greenberg, Padelford C-553, 543-7648, greenber@math.washington.edu

OFFICE HOURS: Tuesdays 2:00 - 3:30, Fridays 11:30 - 1:00, Other times by appointment.

TEXT:

GRADING: The grade will be based on the homework assignments (which
count 20% altogether), the midterm (which counts 30%), and the final (which
counts 50%). The midterm will be on Monday, May 1st. The final
will be on Wednesday, June 7th, 8:30 - 10:20 AM.

Homework Assignments:

Homework Solutions:

Handouts for Math 404

Reducibility and Irreducibility of Polynomials over a Field

Vector Spaces

The Fundamental Lemma

Field Extensions and their Degrees

Isomorphisms, Automorphisms, and Embeddings of Fields

The Primitive Element Theorem

Galois Theory

The discriminant of a polynomial

Handouts from Math 403

Basic Definitions

Two Noncommutative Rings

Important propositions about ring homomorphisms and ideals

Divisibility and Principal Ideal Domains

Reducibility and Irreducibility of Polynomials over a Field