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
MAT31020121310	ALGEBRA II	Compulsory	3	6	5

Level of Course Unit

First Cycle

Objectives of the Course

Introducing the ring theory, analysing some properties of integral domains, interpreting some properties of integers to integral domains, defining polynomial rings and to be in preparation for the field extensions.

Name of Lecturer(s)

Asst. Prof. Dr. Yıldıray ÇELİK

Learning Outcomes

1	Defining the algebraic structures with two operations and understanding their propertie
2	Defining the characteristic and ideal in the ring theory and operating this terms for solving problems
3	Distinguish the rings with respect to their structures and relate between them
4	Defining the field of quotients of an integral domain and interpreting some properties of integers to integral domains
5	Defining the Euclidean domains and understanding some properties of them
6	Defining the polynomial rings and solving some problems

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Ring, Zero divisior, Integral domain,Fields,Characteristic of a ring, Binomial formula,Ideals, Principal ideals,Quotient rings,Ring homomorphisms, Kernel,Maximal ideals, Prime ideals,Quotient field of an integral domain,Calculus in integral domains, Divisors of identity, Prime element,Greatest common divisor, Least common multiple, Prime factorizations,Euclidean domain,Polynomial rings,Factorization of Polynomials

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Ring, Zero divisior, Integral domain
2	Fields, Problems
3	Characteristic of a ring, Binomial formula
4	Ideals, Principal ideals
5	Quotient rings
6	Ring homomorphisms, Kernel
7	Maximal ideals, Prime ideals
8	Midterm Exam
9	Quotient field of an integral domain
10	Calculus in integral domains, Divisors of identity, Prime element
11	Greatest common divisor, Least common multiple, Prime factorizations
12	Euclidean domain
13	Polynomial rings
14	Factorization of Polynomials
15	Final Exam Week
16	Final Exam

Recommended or Required Reading

B. Baumslag , B. Chandler, Group Theory, Schaum’s Outline Series, McGraw-Hill Book Company, 1968 G. Birkhoff , S. Mac lane, A Survey of Modern Algebra, Macmillan, New York , 1965 F. Çallıalp, Örneklerle Soyut Cebir , Birsen Yayınevi, İstanbul, 2009 J.F. Fraleigh, A First Course in Abstract Algebra, Addiso-Wesley, London 1970 I. N. Goldstein, Abstract Algebra, Prentice Hall, New York, 1973 S. Lange, Algebra, Addiso-Wesley, Reading-Massachusetts 1965 W. Ledermann, Theory of Groups, Edinburg, London, New York Interscience Publishers İnc. 1953 H. Şenkon, Soyut Cebir Dersleri Cilt I ve Cilt II, İ.Ü. Fen Fakültesi Basımevi 1998

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

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1.5	1.5
Final Examination	1	1.5	1.5
Makeup Examination	1	1.5	1.5
Quiz	1	1.5	1.5
Attending Lectures	14	4	56
Practice	14	1	14
Problem Solving	14	1	14
Self Study	14	2	28
Individual Study for Mid term Examination	3	4	12
Individual Study for Final Examination	5	4	20
TOTAL WORKLOAD (hours)			150.0

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1	2
LO2	3
LO3	4
LO4	4
LO5	3
LO6	4

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