Course Code            : PMAT 31602

Title                          : Abstract Algebra

Pre-requisites          : PMAT 21553

 Learning Outcomes:

At the end of this course, the student should be able to

• define and identify groups & rings
• prove properties of groups & rings

 Course Contents:

Groups: Basic properties of groups; Examples of groups; Subgroups; Normal subgroups; Quotient groups; Group isomorphism.

Rings: Basic properties of rings; Examples of rings; Subrings; Characteristic of a ring; Ideals; Quotient ring; Integral domains; Euclidean domains.

 Method of Teaching and Learning: A combination of lectures and tutorial discussions.

 Assessment: Based on tutorials, tests and end of course examination.

 Recommended Reading:

Dummit, D.S. and Foote, R.M.,  (3^rd edition, 2011) Abstract Algebra, Wiley