Synopsis:
The course begins with the study of the concepts of rings and fields. Next, the explanation is given to both the subject matter and the structure of proofs on ring, integral domain, homomorphism, quotient ring, fields, field of quotients, vector space, extension field and algebraic extension.
Objectives:
By the end of the course, students should be able to:
- Investigate the rings, subrings, and ideals by using their properties or definition.
- Explain the integral domains, fields, extension field, and their related properties.
- Devise strategies and solution methods based on the techniques discussed to solve application problems related to rings and fields.
- Convey the output from the discussion on rings and fields.
