MATH504 ALGEBRA II
| Course Code: | 2360504 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. MEHPARE BİLHAN |
| Offered Semester: | Fall Semesters. |
Course Objectives
At the end of this course, the student will learn:
- basic concepts used in Algebra
- Modules, Vector spaces
- basic concepts in Field and Galois Theory
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.