Revision as of 13:48, 18 February 2009 by Mboutin (Talk | contribs)

Note: This page covers MA553 in general. If you wish to create a course page, for the Course List, please see Help:Contents.


Linear Equations and Linear Transformations

Abstract Algebra

Some topics relevant to the course MA 553.

  1. Group Theory
    1. Isomorphism Theorems
    2. Sylow Theorems
    3. Jordan-Holder
  2. Ring Theory
    1. Isomorphism Theorems
    2. Unique Factorization Domains
    3. Principal Ideal Domains
    4. Euclidean Domains
    5. Polynomial Rings
  3. Field Theory
    1. Field Extensions
    2. Algebraic Closures
    3. Roots Of Unity
  4. Galois Theory
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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett