MATH 404A Spring, 2018

The final exam will take place on Wednesday, June 6th, 8:30-10:20.

Office hours during Finals week: Monday 10:00-12:00, Tuesday 1:00-3:00

Sample Questions for Math 404, Solutions

INSTRUCTOR: Ralph Greenberg, Padelford C-553,

CONTACT INFORMATION: 543-7648, greenber@math.washington.edu

OFFICE HOURS: Mondays 2:00-3:00, Wednesdays 2:00 - 3:00, Fridays 3:00-4:00, Other times by appointment.

TEXT: Abstract Algebra: Theory and Applications, 2017 edition, by Tom Judson

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, April 30th. The final
will be on Wednesday, June 6th, 8:30 - 10:20 AM.

Homework Assignments: 1, 2, 3, 4, 5, 6

Homework Solutions: 1, 2, 3, 4, 5, 6,

Some Practice Questions for the Math 404 Midterm, Solutions for the Midterm Practice Questions

Midterm Questions and Solutions

Handouts for Math 404

Vector Spaces

The Fundamental Lemma

Reducibility and Irreducibility of Polynomials over a Field

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