Instructor Class Description

Time Schedule:

• Summer Quarter 2008
• Autumn Quarter 2008

William M Mcgovern
MATH 404
Seattle Campus

Introduction to Modern Algebra

Topics in algebra chosen from Galois theory, theory of modules, geometric group actions, and the theory of rings and fields. Specific content determined by instructor. Prerequisite: 2.0 in MATH 403. Offered: Sp.

Class description

We will finish Galois theory from Math 403, showing that certain polynomials over the rationals are not solvable by radicals (Chapter 14 in the Artin text). We will continue with Chapter 12, studying finitely generated modules over principal ideal domains, and develop some consequences in linear algebra (and a surprising one in Galois theory). Later, as time permits, we may do some representation theory of finite groups.

Student learning goals

Know how to write clear, cogent mathematical proofs.

Acquire a better understanding of abstract linear algebra and its application to abstract algebra.

General method of instruction

Lectures.

Recommended preparation

Math 403 or the equivalent.

Class assignments and grading

Homework problems, mostly from the text; two midterms and a final.

1/3 homework, 1/3 midterms, 1/3 final

Office of the Registrar
For problems and questions about this web page contact icd@u.washington.edu,
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Modified:June 21, 2008