Math 523 - Geometric and Algebraic Structures (Fall 2008)

Math 523-WWW

Geometric and Algebraic Structures

Catalog Description: (Prerequisite/Corequisite: Math 509) Examination of the complementary relationships between geometry and algebra, and among the structures in each discipline. Focuses on the interdependence among geometric and algebraic properties of objects. Spatial reasoning, non-Euclidean representations of curves and space, fractal geometry, calculus of higher dimensions. Representation of geometric structures and other phenomena via semigroups, groups, rings, and other algebraic constructs. (3 credit hours)

Fall 2008 Syllabus

Blackboard Class Page

Fall 2008 Course Outline

Introduction
1. Fundamentals
2. Groups
  1. Basics and Cyclic Groups
  2. Dihedral Groups
  3. Homomorphisms
  4. Cosets
  5. Quotient Groups
3. Rings
  1. Homomorphisms
  2. Ideals
  3. Integral Domains
4. Group Actions
  1. Group Actions on Sets
  2. Orbits
  3. Symmetries of Groups

Email me at brian.heck@nicholls.edu anytime.