This module introduces the learner to the algebraic structures of Rings and Fields and to their application and uses within other scientific and mathematical areas.
*Curricular information is subject to change
Ring Theory
Basic definitions and examples, homomorphisms, isomorphisms, ideals, quotient rings, polynomial rings, divisibility and factorisation, commutative rings, integral domains, principal ideal domains, quotient field.
Field Theory
Finite fields, extension fields, simple extensions, finite extensions, minimal polynomial, construction of finite fields, primitive elements, splitting fields.
Lectures and problem-solving sessions.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 70 |
| Other Assessment(s) | 30 |