Course Profile

sap course 1536137933

Course Code:

MATH 208

Course Title:

Basic Algebraic Structures

Course Level:

BS

Credit Hours/ ECTS Credits:

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

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. 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
Semester: 
Spring
Type of Course: 
Compulsory
Mode of Delivery: 
Face-to-face
Language of Instruction: 
English
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
Learning Activities and Teaching Methods: 
Telling/Explaining
Questioning
Problem Solving
Collaborating
Hands-on Activities
Others
Assessment Methods and Criteria: 
Test / Exam
Quiz
Lab Assignment
Others

Student Workload:

Lectures
28
hrs
Lab Applications
28
hrs
Hands-on Work
25
hrs
Exams/Quizzes
70
hrs

Prepared By:

Mehmet Onur Fen

Revised By:

Gizem Güzeller