Academic Catalog

MATH504 ALGEBRA II

Course Code: 2360504
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator: Prof.Dr. MEHPARE BLHAN
Offered Semester: Fall Semesters.

Course Content

Modules; homomorphisms, exact sequences., projective and injective modules, free modules, vector spaces, tensor products, modules over a PID. Fields, field extensions, the fundamental theorem of Galois theory, splitting fields, algebraic closure and normality, the Galois group of a polynomial, finite fields.