Fourier Methods In Differential Equations
Mechatronics Engineering
Institute of Natural and Applied Sciences
Third Cycle (Doctorate Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Fourier Methods In Differential Equations | MAT607 | Elective | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. İrem BAĞLAN
Prof. Dr. Serdal PAMUK
Associate Prof. Dr. Hülya KODAL SEVİNDİR
Learning Outcomes of the Course Unit
1) State definition and properties of Fourier transformation and Parseval theorem
2) Show Fourier transformations of trigonometric functions
3) State scaling and translation properties
4) Calculate Fourier transformation of derivative and state related properties
5) State and prove the convolution theorem
6) State and apply Fourier method for differential equations
7) State Sturm-Liouville problem
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||
| 1 | 2 | 3 | 4 | ||
| Learning Outcomes | |||||
| 1 | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | |
| 6 | No relation | No relation | No relation | No relation | |
| 7 | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
Candidates are provided with profound knowledge on Fourier transformation, Parseval theorem, Fourier transformation for trigonometric functions, scaling property, Fourier transformation for derivative, convolution theorem, Fourier methods for differential equations, Sturm-Liouville problem, heat transfer and wave equations, and Fourier methods for several problems.
Recommended or Required Reading
1- Fourier Series and boundary value problems
Planned Learning Activities and Teaching Methods
1) Lecture
2) Lecture
3) Lecture
4) Lecture
5) Lecture
6) Question-Answer
7) Question-Answer
8) Question-Answer
9) Question-Answer
10) Discussion
11) Discussion
12) Discussion
13) Problem Solving
14) Problem Solving
15) Problem Solving
16) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required