Izlence
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
Academic Year
2019
Semester
Spring
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.
Pre-requisite / Co-requisite:
Pre-requisites:
NONE
Co-requisites:
NONE
Instructor:
Sap Event ID:
50102623
Learning Outcomes:
On completion of this unit successful students will be able to;
- Use the basic definitions and properties of groups
- Comprehend basic structure of symmetric and cyclic groups
- Explain basic definitions and properties of rings, subrings and ideals
- Recognize Polynomial Rings
- Perform proof techniques in group and Ring theory
- Explore Division and Euclidean Algorithm
- Explore Quotient structure in Group and Ring theory
Learning Activities and Teaching Methods:
Telling/Explaining
Questioning
Problem Solving
Collaborating
Hands-on Activities
Others
Assessment Methods and Criteria:
Test / Exam
Quiz/Homework
Laboratory Work
Others