Academic Catalog

MATH368 FIELD EXTENSIONS AND GALOIS THEORY

Course Code: 2360368
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: Prof.Dr. MUSTAFA HURÞÝT ÖNSÝPER
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 2360367
The course set above should be completed before taking MATH368 FIELD EXTENSIONS AND GALOIS THEORY.

Course Content

Field extensions, splitting field of a polynomial, multiple roots, Galois group, criteria for solvability by radicals, Galois group as permutation groups of the roots of polynomials of degree n, constructible n-gons, transcendence of e, finite fields.