Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
YMB0004		Theory of Ring	3/0/0	DE	Turkish	8

Course Goals	At the end of this course, the students  will be able to understand the basic results of Rings and Homomorphisms, Ideals,Domains, Noetherian Rings , Atrinian Rings,Theory of Semisimple Rings, Ring Extentions and develop their knowledges about about this subjects
Prerequisite(s)	none
Corequisite(s)	none
Special Requisite(s)	none
Instructor(s)	Assoc. Prof. Songül ESİN
Course Assistant(s)	No
Schedule	look at the program
Office Hour(s)	Prof. Dr. Erhan GÜZEL - 3-A-07, Monday 10:00-11:00,
Teaching Methods and Techniques	-Lecture, discussion.
Principle Sources	B. Baumslag , B. Chandler, Group Theory, Schaum’s Outline Series, McGraw-Hill Book Company, 1968 G. Birkhoff,S. Maclane, A Survey of modern Algebra, macmillian, New York,1965 J.F. Fraleigh, A First Course ,n Abstract Algebra, Addison-Wesley, London, 1970 I. N. Goldstein, Abstract Algebra, Prentice Hall, new York, 1973 S, Lange, Algebra ,Addison-Wesley, Reading-Massachusetts, 1965
Other Sources	-

Course Schedules
Week	Contents	Learning Methods
1. Week	Ring	Oral and written presentation
2. Week	Characteristic of a ring	Oral and written presentation
3. Week	Ideal	Oral and written presentation
4. Week	Ring Homomorphism	Oral and written presentation
5. Week	Maximal and Prime Ideals	Oral and written presentation
6. Week	The Field of Quotients of an Integral Domain	Oral and written presentation
7. Week	Rings of Polynomials	Oral and written presentation
8. Week	Midterm Examination	Written.
9. Week	Factorization of Polynomials	Oral and written presentation
10. Week	Modules	Oral and written presentation
11. Week	Homologie	Oral and written presentation
12. Week	Noetherian Ringss	Oral and written presentation
13. Week	Artinian Ring	Oral and written presentation
14. Week	Semisimple Rings	Oral and written presentation
15. Week	Ring extensions	Oral and written presentation
16. Week	Final Examination	Written.
17. Week	Final Examination	Written.

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	40
Quizzes	2	10
Final Exam	1	50

Program Outcomes PO-1 Have scientific research in mathematics and computer science in the level of theoretical and practical knowledge. PO-2 On the basis of undergraduate level qualifications, develop and deepen the same or a different areas of information at the level of expertise, and analyze and interpret by using statistical methods PO-3 Develop new strategic approaches for the solution of complex problems encountered in applications related to the field and unforeseen and take responsibility for the solution. PO-4 Evaluate critically skills acquired in the field of information in the level of expertise and assess the learning guides. PO-5 Transfer current developments in the field and their work to the groups inside and outside the area supporting with quantitative and qualitative datas as written, verbal and visual by a systematic way. PO-6 Use information and communication technologies with computer software in advanced level. PO-7 Develop efficient algorithms by modeling problems faced in the field and solve such problems by using actual programming languages. PO-8 Respect to social, scientific, cultural and ethical values at the stages of data collection related to the field, interpretation, and implementation. PO-9 To solve problems related to the field, establish functional interacts by using strategic decision making processes. PO-10 Establish and discuss in written, oral and visual communication in an advanced level by using at least one foreign language.

Learning Outcomes LO-1 Know theoretical properties of İntegers LO-2 Understand the relation between İntegers and Rational Numbers LO-3 Know the structure of Ring,Integral Iomain and Field LO-4 Know the structure of different type Rings LO-5 Use some results about Moduls and Homology

Course Assessment Matrix:

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO 1
LO 2
LO 3
LO 4
LO 5