MATH 208

Course Code & Number

MATH 208

Course Title

Basic Algebraic Structures

Level

BS

Credit Hours/ ECTS Credits

(2+2+0) 3 TEDU Credits, 6 ECTS Credits

Year of Study:

Sophomore

Semester:

Spring

Type of Course:

Compulsory

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite:

Catalog Description

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.

Course Learning Outcomes

On completion of this unit successful students will be able to;

1. Use the basic definitions and properties of groups
2. Comprehend basic structure of symmetric and cyclic groups
3. Explain basic definitions and properties of rings, subrings and ideals
4. Recognize Polynomial Rings
5. Perform proof techniques in group and Ring theory
6. Explore Division and Euclidean Algorithm
7. Explore Quotient structure in Group and Ring theory