MATH 312 - Abstract Algebra

Institution:

Williams College

Subject:

Mathematics

Description:

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.

Credits:

3.00

Credit Hours:

Prerequisites:

Mathematics 211 and one or more of the following: Mathematics 209, 251 or Statistics 201, or permission of instructor

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.williams.edu

Phone Number:

(413) 597-3131

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Four-one-four plan

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