Course Description
The objective of the course is to provide an introduction to algebraic structures and abstract reasoning. This course  covers topics such as elementary number theory, groups, homomorphisms, cosets, Cayley's Theorem, symmetric groups, rings, fields, polynomial rings,  as well as applications of these.

Completing the course work, the students will be able

• to recite the definitions and theorems, and use them to test for groups, rings, and fields and their respective homomorphisms and isomorphisms.
• to solve specific problems, similar to the ones covered in homework and in class.
• to give logical reasoning and proofs for simple statements based on the axioms, definitions and theorems covered in class.
• to apply the concepts covered in class to various branches of mathematics and in real life.