Upon completion of this course, the student should be able to
1. Write mathematical proofs and reason abstractly in exploring properties of groups and rings.
2. Define, construct examples of, and explore properties of groups, including symmetry groups, permutation groups and cyclic groups.
3. Determine subgroups and factor groups of finite groups.
4. Determine, use and apply homomorphism's between groups.
5. Understand definitions, examples, and theorems pertaining to groups.