Information Package / Course Catalogue
| Course Code | : MTK551 |
| 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 | : 8 |
The aim of this course is to introduce well known summability methods.
Elementary Tauberian theorems, Tauberian theorems, A tauberian theorem for Euler method, Fourier series, Convergence of Fourier series, Convergence tests, Cesaro summability of Fourier series, Abel-Poisson summability of Fourier series, Riemann’s method of summation, Absolute convergence, Fourier transforms, Applications of summability to analytic continuation, the Borel exponential method, the Okada theorem.
| 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 | %30 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Assignment | 1 | 18 | 2 | 20 |
| Individual Work | 14 | 0 | 8 | 112 |
| Final Examination | 1 | 24 | 2 | 26 |
| TOTAL WORKLOAD (hours) | 200 | |||
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 | |||||||||