Yozgat Bozok 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
MAT571	DİZİ UZAYLARI VE MATRİS DÖNÜŞÜMLERİ I	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To introduce summability theory

Name of Lecturer(s)

Dr.Öğr.Üyesi Funda BABAARSLAN

Learning Outcomes

1	To learn summability
2	To apply summability

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Sequence spaces, Matrix transformations in array spaces, Linear transformations, Matrix algebras, Summability, Tauberian theorems, General summability theory (basic definitions and concepts, Silverman-Toeplitz theorem, invertibility, inclusion, translativity), Dual spaces.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Sequence spaces
2	Matrix transformations in sequence spaces
3	Linear transformations
4	Matrix algebras
5	Summability
6	Tauberian theorems
7	General summability theory basic definitions and concepts
8	General summability theory Silverman-Toeplitz theorem
9	General summability theory invertibility
10	General summability theory inclusion
11	General summability theory translativity
12	Dual spaces
13	Dual spaces
14	Dual spaces

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	70	70
Final Examination	1	80	80
Makeup Examination	1	20	20
TOTAL WORKLOAD (hours)			170

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

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