APM 5777 - Computer Algebra

(4 credits)

A study of the mathematics and algorithms which are used in symbolic algebraic manipulation packages. Topics include computer representation of symbolic mathematics, polynomial ring theory, field theory and algebraic extensions, modular and p-adic methods, subresultant algorithm for polynomial GCD’s, Groebner bases for polynomial ideals and Buchberger’s algorithm, factorization and zeros of polynomials. Required background includes a course in abstract algebra and knowledge of a scientific programming language. APM 5777 is cross-listed with an undergraduate course, APM 4777. Student may not receive credit for both courses. Prerequisite(s): Required background includes a course in abstract algebra and knowledge of a scientific programming language.

Course revisions made after the Graduate Catalog publication date will be posted in the Graduate Catalog Addendum.