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 |
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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. |
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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.
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Weekly Detailed Course Contents |
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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 | | |
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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 |
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Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
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Workload Calculation |
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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 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
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