MATH 4370 - Computational Algebra

(SMR-AS)

Fall. 3 credits. Student option grading.

Prerequisite: MATH 2210, MATH 2230, MATH 2310, MATH 2940, or equivalent. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Staff.

Introduction to algebraic geometry and computational algebra. In this course, students learn how to compute a Gröbner basis for polynomials in many variables. Covers the following applications: solving systems of polynomial equations in many variables, solving diophantine equations in many variables, 3-colorable graphs, and integer programming. Such applications arise, for example, in computer science, engineering, economics, and physics.