Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA609 | SEQUENCE SPACES AND SUMMABILITY I | 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 Sequence Spaces 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 |
• Conservative and regular matrices
• Conull Matrices and Types of Summation Theorem
• Areas of triangular matrices additivity and excellent portions of these
• FK Spaces
• Co-regular and Conull FK Spaces
• Substitutability and consistency
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Weekly Detailed Course Contents |
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1 | Conservative and regular matrices
| | | 2 | Conservative and regular matrices
| | | 3 | Conull Matrices and Types of Summation Theorem
| | | 4 | Conull Matrices and Types of Summation Theorem
| | | 5 | Conull Matrices and Types of Summation Theorem
| | | 6 | Areas of triangular matrices additivity and excellent portions of these
| | | 7 | Areas of triangular matrices additivity and excellent portions of these
| | | 8 | Midterm exam
| | | 9 | FK Spaces
| | | 10 | FK Spaces
| | | 11 | Co-regular and Conull FK Spaces
| | | 12 | Co-regular and Conull FK Spaces
| | | 13 | Substitutability and consistency
| | | 14 | Substitutability and consistency
| | | 15 | Substitutability and consistency
| | | 16 | Final exam | | |
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Recommended or Required Reading |
1) A. Wilansky, Summability through functional analysis
2) Johann Boos, F.Peter Cass, Classical and modern methods in summability |
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 | 3 | 42 |
Question-Answer | 3 | 2 | 6 |
Self Study | 14 | 4 | 56 |
Individual Study for Homework Problems | 14 | 3 | 42 |
Individual Study for Mid term Examination | 1 | 20 | 20 |
Individual Study for Final Examination | 1 | 20 | 20 |
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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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