EMT 460

Course ID:

Course Code & Number

EMT 460

Course Title

Basic Algebraic Structures

Level

BS

Credit Hours/ ECTS Credits

(1+2+0) 2 TEDU Credits, 3 ECTS Credits

Year of Study:

Semester:

Type of Course:

Elective

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 Objectives

The aim of this course is to provide students with a deep understanding of abstract concepts related with algebraic structures, reinforcing these concepts with proof practices.

Software Usage

Course Learning Outcomes

Upon successful completion of this course, students will be able to:

1. use the basic definitions and properties of groups,
2. identify 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

Assessment Methods and Criteria:

Test / Exam Quiz Lab Assignment

Assessment Methods and Criteria Others:

Design Content

Recommended Reading

Required Reading

Grading

Learning Activities and Teaching Methods Others:

Course Coordinator:

Dr. Elçin Emre Akdoğan

Student Workload:

Workload	Hrs
Lab Applications	30
Hands-on Work	10
Exams/Quizzes	20

Course & Program Learning Outcome Matching: