People Innovation Excellence
 

MODERN ALGEBRA (4 Credits)

Learning Outcomes:

On successful completion of this Course, students will be able to: Recognize several ways to prove mathematical expression in set theory and binary operation; Explain the structure of groups and its properties; Demonstrate how to determine divisibilty, gcd of the integers and polynomials; Explain the structure of rings, fields and its properties; Apply the concept of algebraic structure in coding theory and cryptography.

Topics:

  1. Fundamental Concept;
  2. The Integers;
  3. Groups;
  4. Isomorphism and Groups Homomorphisms;
  5. Group of Permutations;
  6. Rings and Fields;
  7. Ideals and Quotient Rings;
  8. Rings of Polynomials;
  9. Introduction to Coding Theory and Cryptography.

Published at : Updated

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