| Course Type | Elective Course |
|---|
| Course Level | Master's Degree With Thesis |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 5 |
|---|
| Name of Lecturer(s) |
- |
| Learning Outcomes |
At the end of this course, the students;
- To be able to comprehend special transformations.
- To be able to comprehend special functions.
- To be able to perceive the fields of application of Orthogonal Polynomials, Gamma and Beta functions, hypergeometric functions, Bessel functions, Laplace and Fourier transforms.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Ortogonal polinomials, Gamma ve Beta functions, hypergeometric functions, Bessel functions, Laplace and Fourier transformations and their applications |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Special Transformations and Functions General Information |
|
2nd Week |
Orthogonal Polynomials |
|
3rd Week |
Orthogonal Polynomials |
|
4th Week |
Gamma and Beta functions |
|
5th Week |
Gamma and Beta functions |
|
6th Week |
Hypergeometric functions |
|
7th Week |
Hypergeometric functions |
|
8th Week |
Mid-term Exam |
|
9th Week |
Bessel functions |
|
10th Week |
Bessel functions |
|
11th Week |
Laplace and Fourier transforms |
|
12th Week |
Laplace and Fourier transforms |
|
13th Week |
General Applications |
|
14th Week |
General Applications |
|
15th Week |
General Review |
|
| Recommended or Required Reading | Carlson, Bille Chandler, Special functions of applied mathematics, New York : Academic Press, 1977. |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Discussion
- Questions/Answers
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
30 |
| Assignment |
1 |
20 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
13 |
4 |
52 |
| Preparation for Final exam |
1 |
20 |
20 |
| Course hours |
13 |
3 |
39 |
| Preparation for Midterm exam |
1 |
15 |
15 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
1 |
20 |
20 |
| Total Work Load | 150 |
| Total Work Load / 30 (h) | 5 |
| ECTS Credit of the Course | 5 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
