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 Set 2: 2360268
One of the sets 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.