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
MAT41820121310	IDEAL THEORY	Elective	4	8	5

Level of Course Unit

First Cycle

Objectives of the Course

Provide detailed information about the ideals.

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

Basic knowledge of rings, ring homomorphism and isomorphism, ideal and its classes, integral domain and field, quotient ring.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Rings and its properties, important rings
2	Ring homomorphism and isomorphism
3	Ideal, whole ideal, principle ideal
4	Principle ideal ring
5	Primary ideal, maximal ideal
6	Integral domain
7	Fıeld
8	mid term exam
9	Quotient ring
10	Expansions and constraints of ideals
11	Imaginary of a ring homomorphism, ring kernel
12	minimal ideal, minimal primary ideal
13	primary ideal and primary disjunction
14	Ring of fractions and their ideals
15	Noetherian ve Artinian Rings
16	End-term exam

Recommended or Required Reading

Fehmi Çallıalp, Ünsal Tekir ; Değişmeli halkalar ve modüller ; Bırse yayınevi, 2009 H. Hilmi Hacısalihoğlu, Zühtü Özel, Arif Sabuncuoğlu; Soyut Cebire Giriş ; 1989, Gazi Üniversitesi yayınları 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