MATH 6444 - Polynomials

3 Credit Hours
Prerequisites: MATH 3000 with grade of C or higher.
Description
The topic of polynomials is one of the oldest in mathematics and has applicability to almost every area of mathematics. The course will use algebra and analysis to study polynomials. Among topics to be covered: roots of polynomials (inequalities, relationship between the root of a polynomial and its derivative), resultants, discriminant, irreducible polynomials, special classes of polynomials (symmetric, cyclotomic, Chebysev, Lagrange), Grobner bases and algorithms.