Students in Math 330, Abstract Algebra,
will:
- Assess properties implied by the definitions of a group and rings.
- Use various canonical types of groups (including cyclic groups and
groups of permutations) and canonical types of rings (including
polynomial rings and modular rings).
- Analyze and demonstrate examples of subgroups, normal subgroups and
quotient groups.
- Analyze and demonstrate examples of ideals and quotient rings.
- Use the concepts of isomorphism and homomorphism for
groups and rings.
- Produce rigorous proofs of propositions arising in the context of
abstract algebra.
Grading