1	Course Title:	RING THEORY I
2	Course Code:	MAT5119
3	Type of Course:	Optional
4	Level of Course:	Third Cycle
5	Year of Study:	1
6	Semester:	1
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. MUSA DEMİRCİ
16	Course Lecturers:	Prof. Dr. İsmail Naci Cangül, Prof. Dr. Gökhan Soydan, Prof. Dr. Betül Gezer, Doç. Dr. Yeliz Kara Şen,..
17	Contactinformation of the Course Coordinator:	Doç. Dr. Musa Demirci Fen-Edebiyat Fakültesi Matematik Bölümü Görükle / BURSA
18	Website:
19	Objective of the Course:	The Students are learned some basic information about Algebraic structure during undergraduate education. One of These algebraic structures which is Ring will be discussed and studied specifically.
20	Contribution of the Course to Professional Development	To have advanced knowledge about rings.

21

Learning Outcomes:

1 Knows the notion of Rings; 2 Can operate on Rings ; 3 Knows notions which Subring, Ideal and Quotient Ring.;

22	Course Content:

Week	Theoretical	Practical
1	Introduction to Rings. Elementary knowledge about Rings
2	Some important Rings which are Boolean,Regular and etc.
3	Subrings and Subfields.Ideals and Quotient Rings
4	Homomorphisms and Isomorphisms.
5	Exercises about Rings and Subrings.
6	Subrings, Ideals and Homomorphisms
7	Ring embeddings. Theorems of Isomorhpism
8	Integral domain, Quoitent Field of Integral Domain.
9	Polinomial Rings.
10	Exercises about Homomorphisms, Isomorphisms and Integral domain.
11	Direct sum of Rings.
12	Polinomial Rings and F[x] Rings.
13	Euclidean Domains and Ideals.
14	General exercises about Rings.

23	Textbooks, References and/or Other Materials:	CEBİR, Ali Osman ASAR, Ahmet ARIKAN, Aynur ARIKAN,2009 Eflatun, ISBN: 978-605-4160-22-8 FUNDAMENTALS OF ABSTRACT ALGEBRA, D., S., MALIK, John M., MORDESAN, M., K., SEN, 1997 Mc Graw-Hill, ISBN: 0-07-040035-0
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	0	0
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	100
Total	1	100
Contribution of Term (Year) Learning Activities to Success Grade		0
Contribution of Final Exam to Success Grade		100
Total		100
Measurement and Evaluation Techniques Used in the Course	Summative assessment (Final Exam)
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	4	56
Homeworks, Performances	0	6	36
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	0	0	0
Others	4	6	24
Final Exams	1	20	20
Total WorkLoad			178
Total workload/ 30 hr			5,93
ECTS Credit of the Course			6

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 4 4 5 0 0 0 0 0 0 0 LO2 5 4 5 0 0 0 0 0 0 0 LO3 5 4 5 0 0 0 0 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High