| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Sequence Spaces and Matrix Transformations I | MAT547 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. Emrah Evren KARA |
| Instructors |
Pınar ZENGİN ALP |
| Assistants | |
| Goals | Ensuring high level of knowledge related to the topics in the content of the course, giving the ability of using this konwledge in discussion and research environments to students. |
| Course Content | Conservative and regular matrices, Conull and coregular matrices, Summability Theorem Types, Mercerian and Tauber Theorems, Inverses, Summability domain of triangular matrices, Perfect parts of summability domain of triangular matrices, FK Spaces, Inclusion Theorems, Coregular and conull FK Spaces, replaceability, Consistency, Absolute summability domain, Absolute replaceability. |
| Learning Outcomes |
- Student’s ability of commenting and thinking truely will improve and the students will get basic information about mathematics. |
| Week | Topics | Learning Methods |
|---|---|---|
| 0. Week | Summability Theorem Types | |
| 1. Week | Conservative and regular matrices | |
| 2. Week | Conull and coregular matrices | |
| 4. Week | Mercerian and Tauber Theorems | |
| 5. Week | Inverses | |
| 6. Week | Summability domain of triangular matrices | |
| 7. Week | Perfect parts of summability domain of triangular matrices | |
| 8. Week | Midterm | |
| 9. Week | FK Spaces | |
| 10. Week | Inclusion Theorems | |
| 11. Week | Coregular and conull FK Spaces | |
| 12. Week | replaceability | |
| 13. Week | Consistency | |
| 14. Week | Absolute summability domain |
| Albert Wilansky, Summability Through Functional Analysis |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 5 | 5 | 40,60 |
| PY2 | 5 | 5 | 40,60 |
| PY4 | 1 | 1 | 40,60 |
| PY5 | 4 | 4 | 40,60,40,60 |
| PY6 | 2 | 2 | 40,60 |
| PY7 | 5 | 5 | 40,60 |
| PY8 | 1 | 1 | 40,60 |
| PY9 | 3 | 3 | 40,60 |
| PY10 | 5 | 5 | 40,60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Preparation, After Class Study | 14 | 1 | 14 |
| Research | 14 | 1 | 14 |
| Other Activities | 14 | 1 | 14 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 7 | 3 | 21 |
| Homework 2 | 7 | 3.5 | 24.5 |
| Final | 1 | 2.5 | 2.5 |
| Practice | 14 | 1.5 | 21 |
| Practice End-Of-Term | 14 | 1.5 | 21 |
| Classroom Activities | 14 | 2 | 28 |
| Total Workload | 204 | ||
| ECTS Credit of the Course | 8.0 | ||
