Iğdır University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
210300405102	ABSTRACT ALGEBRA - I	Compulsory	3	5	5

Level of Course Unit

First Cycle

Objectives of the Course

Teaching basic concepts and theorems about group theory

Name of Lecturer(s)

Dr. Öğr. Üyesi Ezgi AYDEMİR

Learning Outcomes

1	Ability to define the concepts of group, subgroup, cyclic subgroup, coset, normal subgroup and quotient group.
2	Be able to define the concepts of symmetric group, conjugate class and finitely produced commutative group.
3	Be able to express Lagrange and Cayley theorems
4	Ability to express isomorphism and correspondence theorems
5	Giving examples on these topics

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Sets, Integers and Properties, Equivalence Relations and Equivalence Classes, Functions, Semi-Groups, Groups, Cyclic Subgroups, Cosets and Lagrange Theorem, Homomorphisms, Normal Subgroups, Symmetric Groups

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Set Theory and Logic
2	Fundamentals of the integers set
3	Congruence relations and classes
4	Functions
5	Algebraic structures and semigroups
6	Intoductions to the groups
7	Groups
8	Midterm Exam
9	Cyclic Groups
10	Cosets and the Lagrange Theorem
11	Homomorphisms
12	Normal and Quotient groups
13	Symmetric groups
14	Isomorphisms
15	Final Exam

Recommended or Required Reading

Ahmet Sinan Çevik, Cebire Giriş, Detay Yayıncılık, (2008). Fethi Çallıalp, Örneklerle Soyut Cebir, Birsen Yayınevi, (2001). Dursun Taşcı, Soyut Cebir, Alp Yayınevi, (2007)

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	80
Homework	1	20
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		50
End Of Term (or Year) Learning Activities		50
SUM		100

Language of Instruction

Turkish

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	1.5	1.5
Attending Lectures	14	3	42
Question-Answer	14	3	42
Individual Study for Mid term Examination	1	20	20
Individual Study for Final Examination	1	30	30
Homework	1	10	10
TOTAL WORKLOAD (hours)			146.5

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1	4	4	4	4	5	4	3	4	4	4
LO2	4	4	4	4	5	4	3	4	4	4
LO3	4	4	4	4	5	4	3	4	4	4
LO4	3	4	4	4	4	4	4	4	4	4
LO5	4	4	4	4	4	4	4	4	4	4

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High