| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Laplace Transforms and Applications | MAT504 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. İzzettin DEMİR |
| Instructors |
İzzettin DEMİR |
| Assistants | |
| Goals | To give knowledge about Laplace transformation and its application to ordinary and partial differantial equations. |
| Course Content | Definition of Laplace Transformation, Existence and Properties of Laplace Transformation, Differentiability of image functions, Differentiability of initial functions, Integratiability of image functions, Integratiability of initial functions, Image of some special functions, Application of Laplace Transformation for solution of integral equations, Application of Laplace Transformation for solution of ordinary differantial equations, Application of Laplace Transformation for solution of differantial equations system, Application of Laplace Transformation for solution of partial differantial equations system |
| Learning Outcomes |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Definition of Laplace Transformation | |
| 2. Week | Existence and Properties of Laplace Transformation | |
| 3. Week | Existence and Properties of Laplace Transformation | |
| 4. Week | Differentiability of image functions | |
| 5. Week | Differentiability of initial functions | |
| 6. Week | Integratiability of image functions | |
| 7. Week | Integratiability of initial functions | |
| 8. Week | Mid-term Exam | |
| 9. Week | Image of some special functions | |
| 10. Week | Image of some special functions | |
| 11. Week | Application of Laplace Transformation for solution of integral equations | |
| 12. Week | Application of Laplace Transformation for solution of ordinary differantial equations | |
| 13. Week | Application of Laplace Transformation for solution of ordinary differantial equations system | |
| 14. Week | Application of Laplace Transformation for solution of partial differantial equations system |
| 1.Advanced Engineering Mathemetics. C. Ray Wylie. Mc Graw-Hill İnt. 1995. |
| 2.Diferansiyel Denklemler ve Lineer Cebrin Elemanları. Hüseyin Halilov. Literatür Yayıncılık. 2003. |
| 3.An İntroduction to Differential Equations and their Applications. Stanley J. Farlow. Mc Graw-Hill İnt. 1994. |
| 4.Fourier Analysis and Boundary Value Problems. Enrigue A. Gonzalez-Velaco. Academic Pres. 1995. |
| Program Requirements | Contribution Level | Measurement Method |
|---|---|---|
| PY4 | 2 | 60 |
| PY9 | 2 | 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 | 1 | 3 | 3 |
| Research | 14 | 2 | 28 |
| Midterm 1 | 1 | 2 | 2 |
| Midterm 2 | 1 | 2 | 2 |
| Homework 1 | 14 | 3 | 42 |
| Homework 2 | 14 | 2 | 28 |
| Quiz 1 | 1 | 2 | 2 |
| Quiz 2 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Practice | 6 | 12 | 72 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 197 | ||
| ECTS Credit of the Course | 8.0 | ||
