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Syllabus

# 2014-2015

Lecture: Tuesday, Thursday 1:30-2:45, in Keller 403
Instructor: Ralph Freese
Office: 305 Keller
email:email me
Office hours: T-Th 2:45-3:15, F 1-2 and by appointment
(or just come to my office and see if I'm in)

• The final!

• Kaplansky's Fields and Rings.

• Galois Groups: Small Galois Groups.

• $${\rm \TeX}$$ (and $${\rm \LaTeX}$$): is a software system for typing mathematics. You will be required to use it for all of your writing in this class.

• Research: The UH library has a guide for math graduate students on

• Book: We will be using N. Jacobson, Basic Algebra I, and Dummit and Foote, Abstract Algebra. The Jacobson book is now in paperback and very inexpensive; Dummit and Foote can also be bought fairly cheaply and there may be electronic versions. We will also use Hungerford for some of the proofs.

• Class Notes. Written with help from William DeMeo. The tex file.

• Errata for Dummit and Foote

• Other Good Books:
• Hungerford, Algebra
• Isaacs, Algebra
• Herstein, Toppics in Algebra (really an undergrad book, but quite good)
• Kaplansky, Fields and Rings. See pages 50-54 for calculating the Galois group of cubics and quartics.
• Galois GroupsSmall Galois Groups. See pages 50-54 for calculating the Galois group of cubics and quartics.