Ordu 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
MAT41720121310	GURUPLAR THEORY	Elective	4	7	5

Level of Course Unit

First Cycle

Objectives of the Course

Provide detailed information about the groups.

Name of Lecturer(s)

Öğ. Gör. Dr. Gökçe ÇAYLAK KAYATURAN

Learning Outcomes

1	The students who complete the course successfully will develop the ability to think and comment correctly and gain basic knowledge about the algebraic mathematics.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

N/A

Recommended Optional Programme Components

N/A

Course Contents

Groups, permutation groups, subgroups, normal subgroups, algebraic transformations, cyclic group, cayley theorem, product of groups, group series

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Meaning of group and properties of groups
2	Permutation groups
3	Subgroups and normal subgroups
4	algebraic transformations, group homomorphism and isomorphism
5	Inner automorphism, product of subgroups
6	Cyclic group
7	Translation and Lagrange Theorem
8	Quotient group
9	mid-term exam
10	Cayley Theorem
11	Direct product, product of groups
12	Theorems of isomorphism
13	Sylow theorems and structural results
14	Group series
15	Automorphisms and characteristic groups
16	End-term exam

Recommended or Required Reading

H. Hilmi Hacısalihoğlu, Zühtü Özel, Arif Sabuncuoğlu; Soyut Cebire Giriş ; 1989, Gazi Üniversitesi yayınları Ahmet Sinan Çevik ; Soyut Cebir Özel Konular ; Nobel Yayınları, 2012 İsmail Naci Cangül; Soyut Cebir Problemleri ; Dora yayınları, 2016 Gürsel Yeşilot, Muttalip Özavşar; Soyut Cebir Çözümlü Problemleri, Nobel yayınları, 2012

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Work Placement(s)

N/A

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Makeup Examination	1	2	2
Attending Lectures	14	3	42
Problem Solving	14	1	14
Self Study	14	3	42
Individual Study for Mid term Examination	8	3	24
Individual Study for Final Examination	1	15	15
TOTAL WORKLOAD (hours)			143

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1	3	4	5	3	4	5	4

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