Integral Transforms and Applications
Aviation Sciences and Technologies
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 |
|---|---|---|---|---|---|---|
| Integral Transforms and Applications | HVA607 | Elective | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Serap BULUT
Learning Outcomes of the Course Unit
1) Define Fourier transformation, know its properties
2) Define Laplace transformation, know its properties
3) Define Hankel transformation, know its properties
4) Define Mellin transformation, know its properties
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||
| 1 | 2 | 3 | 4 | 5 | ||
| Learning Outcomes | ||||||
| 1 | Low | Low | No relation | No relation | No relation | |
| 2 | Low | Low | No relation | No relation | No relation | |
| 3 | Low | Low | No relation | No relation | No relation | |
| 4 | Low | Low | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Advanced Mathematics, Applied Mathematics
Course Contents
Fourier transformation, Laplace transformation, Hankel transformation, Mellin transformation
Weekly Schedule
1) Definition of Fourier transformation and its properties2) Fourier series of nonperiodic functions
3) Fourier series of odd and even functions
4) Some applications of Fourier series
5) Definition of Laplace transformation and its properties
6) Properties of Laplace transformation
7) Definition of inverse Laplace transformation and its properties
8) Midterm exam
9) Some methods for finding the inverse Laplace transform
10) Solving differential equations using Laplace transformation
11) Definition of Hankel transformation and its properties
12) Properties of Hankel transformation
13) Definition of Mellin transformation and its properties
14) Properties of Mellin transformation
15) Some applications of Mellin transformation
16) Final exam
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Self Study
6) Self Study
7) 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