Course Description

Course Name

Algebra II

Session: VSOF3221

Hours & Credits

3 Credits

Prerequisites & Language Level

Taught In English

  • There is no language prerequisite for courses at this language level.

Overview

  • Rings, Ring Homomorphisms
  • Ideals, Maximal and Prime Ideals
  • Polynomial Rings and The Division Algorithm
  • Irreducible Polynomials
  • Fields of Fractions
  • Factorization in Integral Domains
  • Definitions and Examples of Vector Spaces
  • Subspaces
  • Linear Independence
  • Extension Fields
  • Splitting Fields
  • Geometric Constructions
  • Structure of a Finite Field
  • Field Automorphisms
  • The Fundamental Theorem in Galois Theory
  • Application of Galois Theory

*Course content subject to change