Academic Catalog

MATH116 BASIC ALGEBRAIC STRUCTURES

Course Code: 2360116
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 4,5
Department: Mathematics
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator: Assoc.Prof.Dr. EMRE COKUN
Offered Semester: Spring Semesters.

Course Content

Binary operations. Groups. The symmetric group. Subgroups. The order of an element. Cyclic groups. Rings. Integral domains. Subrings. Ideals. Fields: Q, R, C, Zp. The concept of an isomorphism. The ring of integers and the ring of polynomials over a field: Division and Euclidean algorithms. GCD and LCM. Prime factorization. Quotient structures.