MATH 301-D01:  Course Goals
Instructor: Misha Shvartsman 

General Goals:
1. Gaining factual knowledge and skills of the theory and mrthods of abstract algebra
2. Learning to apply course material (problem solving and writing mathematical proofs)
Math majors are so popular with employers because of their logical thinking skills. A proof is the
ultimate test of that logical thinking ability.

Subject Goals:
1. To develop skills in writing proofs of results in abstract algebra based on available definitions and terminology
2. To formulate an argument that predicts patterns for a wide variety of cases (proving theorems)
3. To derive mathematical facts about algebraic objects from the few principles (axioms)
4. To develop skills in solving problems using rigorous definition of
algebraic objects
5. To work out numerical examples to understand patterns

Writing in the Disciplines (WID) Goals
1. To focus on writing as a product.
2. To learn how to write in the manner accepted in Mathematics research community, learning conventions of
writing and the rationale behind them.
3. To have substantive and direct instruction in the writing process, in addition to mathematical content.
4. To receive formative feedback from the instructor on the high-stake draft in progress as well as evaluation of final draft.
Feedback is designed to help you to prioritize what areas need revision to improve your final draft.