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: 2360268
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.