Learning outcome for 3450:411/511 Abstract Algebra I:

Upon completion of this course, students are expected to:

• Understand the notion of a group and a ring.
• Understand the structure and properties of various canonical types of groups (including cyclic groups and groups of permutations) and canonical types of rings (including polynomial rings and modular rings),
• Use the concepts of isomorphism and homomorphism for groups and rings,
• Analyze and demonstrate examples of subgroups, cosets, ideals, and integral domains,
• Produce rigorous proofs of propositions/theorems arising in the context of abstract algebra.