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This is a comprehensive set of 16 Maple lessons for an undergraduate course in Abstract Algebra. Each lesson provides exercises to reinforce understanding of each topic.

Prof. Alec Mihailovs of Shepherd College contributed six lessons on group theory, which accompany the book Contemporary Abstract Algebra by J. Gallian, ISBN: 0-618-12214-1

Prof. Mike May of St. Louis University contributed ten lessons on fields, rings and Galois theory, which accompany the book Abstract Algebra, by Dummit and Foote, ISBN 0-13-569302-0

Download the course for Maple 7

Preview or download individual lessons below





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Chapter 1:
Preliminaries

Chapter 2:
Introduction to Groups
Chapter 3:
Groups
Chapter 4:
Finite Groups and Subgroups
Chapter 5:
Cyclic Groups
Chapter 6:
Other Topics in Group Theory
Chapter 7:
Factoring Polynomials over Extensions of the Rationals
Chapter 8:
The Gaussian Integers
Chapter 9:
The Division Algorithm and Quadratic Extensions
Chapter 10:
The Minimum Polynomial of an Algebraic Expression
Chapter 11:
Extension Fields and Inverses
Chapter 12:
Automorphism Groups
Chapter 13:
Defining and Checking Automorphisms
Chapter 14:
Automorphisms over Finite Fields
Chapter 15:
Galois Groups of Polynomials
Chapter 16:
A Second Look at Galois Groups: Probabalistic Methods


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