MATH 4370

Computational Algebra

Course Description

Course information provided by the Courses of Study 2024-2025.

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.

When Offered Fall.

Prerequisites/Corequisites Prerequisite: MATH 2210, MATH 2230, MATH 2310, MATH 2940, or equivalent.

Distribution Category (SMR-AS)

Comments Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

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