Academic Catalog

MATH473 IDEALS VARIETIES AND ALGORITHMS

Course Code: 2360473
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 6.0
Department: Mathematics
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator:
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 2360367
Set 2: 2360370
One of the sets above should be completed before taking MATH473 IDEALS VARIETIES AND ALGORITHMS.

Course Content

Affine varieties. Groebner bases, monomial ideals and Dickson`s Lemma, Hilbert Basis Theorem. Buchberger`s algorithm. Ideal membership problem. The problem of Elimination Theory. Unique factorization and resultants. Resultant and extension Theorem.