
| Course Code | : MTK552 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The aim of this course is to introduce well known summability methods.
Abel convergence, Cesaro convergence, Euler-Maclaurin sum Formula, Abel’s inequality, the Silverman-Toeplitz theorem, Nörlund and Nörlund type transformations, Hölder and Cesaro means, Euler, Taylor and Borel exponential transformations, Hausdorff means.
| 1. | To be able to see the relationships among the several summability methods |
| 2. | To be able to develop the capacity of posing and solving problems |
| 3. | To be able to gain the skill of interpreting some interrelations among these concepts |
| 4. | To be able to use mathematical concepts in solving certain types of problems |
| 5. | To be able to develop analytical skills and apply to problems |
| 1. | Divergent Series, G. H. Hardy |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 3 | 56 |
| Assignment | 1 | 10 | 2 | 12 |
| Term Project | 1 | 10 | 2 | 12 |
| Individual Work | 14 | 0 | 1 | 14 |
| Midterm Examination | 1 | 20 | 2 | 22 |
| Final Examination | 1 | 32 | 2 | 34 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 4 | 5 | 4 | 4 | |||||||||||
OÇ-2 | 4 | 4 | 4 | 2 | |||||||||||
OÇ-3 | 4 | 5 | 4 | 4 | 4 | 2 | |||||||||
OÇ-4 | 4 | 5 | 4 | 4 | 4 | 2 | |||||||||
OÇ-5 | 4 | 5 | 4 | 4 | 4 | 2 | |||||||||