MATH 312(S) Abstract Algebra (Q)
Algebra gives us the tools to solve equations. Sets such as the integers or real numbers have special properties which make algebra work or not work according to the circumstances. In this course, we generalize algebraic processes and the sets upon which they operate in order to better understand, theoretically, when equations can and cannot be solved. We define and study the abstract algebraic structures called groups, rings and fields, as well as the concepts of factor group, quotient ring, homomorphism, isomorphism, and various types of field extensions.
Format: lecture. Evaluation will be based primarily on problem sets and exams.
Prerequisites: Mathematics 211 and one or more of the following: Mathematics 209, 251 or Statistics 201, or permission of instructor. No enrollment limit (expected: 25).
Hour: BURGER