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
FMA611	INTRODUCTION TO DIVERGENT SERIES	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

to gain the basic information necessary in the field of Divergent Series and Summability Theory.

Name of Lecturer(s)

Yrd. Doç. Dr. Cemal BELEN

Learning Outcomes

1	To have the ability and knowledge of the advanced level of related to the field and use it in real learning environments.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

• The historical development of the theory of summability • Cesaro, Abel and Borel summability methods • Some fundamental problems of summability theory such as Tauber, inclusion and consistency • Matrix methods and the classical theory. • Conservative, compelling and strong conservative matrix methods • Comparison and consistency theorems • M-type features of triangular matrices • Average value property and effective methods of conservative matrix.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	The historical development of the theory of summability
2	The historical development of the theory of summability
3	Cesaro, Abel and Borel summability methods
4	Cesaro, Abel and Borel summability methods
5	Some fundamental problems of summability theory such as Tauber, inclusion and consistency
6	Some fundamental problems of summability theory such as Tauber, inclusion and consistency
7	Some fundamental problems of summability theory such as Tauber, inclusion and consistency
8	Midterm exam
9	Matrix methods and the classical theory
10	Conservative, compelling and strong conservative matrix methods
11	Conservative, compelling and strong conservative matrix methods
12	Comparison and consistency theorems
13	M-type features of triangular matrices
14	Average value property and effective methods of conservative matrix
15	Average value property and effective methods of conservative matrix
16	Final exam

Recommended or Required Reading

1) Godfrey Harold Hardy, Divergent Series, Second(Textually Unaltered) Edition,1991. 2) Lambert M Surhone, Miriam T Timpledon, Susan F Marseken, Divergent Series, VDM Verlag Dr. Mueller AG & Co. Kg, 2010

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	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Problem Solving	14	2	28
Discussion	8	2	16
Question-Answer	14	2	28
Individual Study for Homework Problems	14	3	42
Individual Study for Mid term Examination	1	20	20
Individual Study for Final Examination	1	25	25
TOTAL WORKLOAD (hours)			205

Contribution of Learning Outcomes to Programme Outcomes

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

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