Paul L. Bailey, Ph.D.
Abstract Algebra Spring 2007
Course Syllabus
Topic 1: Symbolic Logic
Topic 2: Integers
Topic 3: Complex Numbers
Topic 4: Basic Group Theory
Project 1: Permutations in S_3 and S_4
Project 2: Proving Things
Project 3: Groups
Project 4: Cyclic and Dihedral Groups
Project 5: Groups of Functions
Ring Theory Worksheets
Course Definitions Summary
For more examples on set theory, you may look at
Basic Set Theory
I strongly encourage students in this class to
learn and use the following open source (free) software.
TeX:
the mathematics typesetting language
(make your homework look professional).
GAP:
the group theoretical computer algebra system (compute dozens of
examples to gain insight).
TeX Source Files
TeX Macro File
TeX Source for Group Theory Starter
TeX Source for Project 3 Starter
TeX Source for Topic 2: Integers
TeX Source for Project 3: Groups