
| Course Code | : MTK573 |
| 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 |
This course gives the fundamental concepts of generalized functions.
Test functions, Generalized functions, Local properties of generalized functions, Translations, rotations and other linear transformations on the independent variables of generalized functions, Regularization of divergent integrals, Convergence of generalized function sequences, Complex test functions and generalized functions, Differentiation and integration of generalized functions, Delta-convergent sequences, Some generalized functions , Canonical regularization.
| Prof. İnci EGE |
| 1. | To be able to define generalized functions space |
| 2. | To be able to define convergence of the generalized functions |
| 3. | To be able to acquire some generalized functions |
| 4. | To be able to gain the skill of interpreting some interrelations among these concepts |
| 5. | To be able to use mathematical concepts in solving certain types of problems |
| 1. | I. M. Gelfand and Shilov, Generalized Functions, Vol. I, Academic Press, 1964. |
| 2. | R. Hoskins and J.S. Pinto, Ellis Horward, Chichester, Distributions, Ultradistributions and Other Generalized Functions, 1994. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %50 |
| Assignment | 1 | %20 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Assignment | 2 | 20 | 3 | 46 |
| Midterm Examination | 1 | 50 | 2 | 52 |
| Final Examination | 1 | 60 | 2 | 62 |
| TOTAL WORKLOAD (hours) | 202 | |||
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 | 3 | 4 | 3 | 4 | 3 | |||||||||
OÇ-2 | 4 | 3 | 3 | 2 | 4 | 3 | |||||||||
OÇ-3 | 4 | 3 | 3 | 2 | 4 | 3 | |||||||||
OÇ-4 | 4 | 3 | 3 | 2 | 1 | 2 | |||||||||
OÇ-5 | 4 | 3 | 3 | 2 | 2 | 2 | |||||||||