MATHEMATICS (TURKISH, PHD) | |||||
PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
MAT6015 | Special Functions | Fall Spring |
3 | 0 | 3 | 8 |
The course opens with the approval of the Department at the beginning of each semester |
Language of instruction: | Tr |
Type of course: | Departmental Elective |
Course Level: | |
Mode of Delivery: | Face to face |
Course Coordinator : | Assoc. Prof. ERSİN ÖZUĞURLU |
Course Objectives: | To introduce students functions of the legendre, hermite, bessel, laguerre that are important in mathematics. |
The students who have succeeded in this course; 1) He/She Recognizes and solves hypergeometric equation 2) He/She Recognizes and solves Bessel equation 3) He/She Recognizes and solves Legendre equation 4) He/She Recognizes and solves Hermite equation 5) He/She Recognizes and solves Laguerre equation 6) He/She has knowledge about solutions without solving the equation 7) He/She Establishes a connection inside special functions |
The Hypergeometric Functions, The Bessel Functions, The Hermite Functions, The Legendre Functions, The Laguerre Functions. |
Week | Subject | Related Preparation | |
1) | Hypergeometric Differential Equation. | ||
2) | The Hypergeometric Functions. | ||
3) | Bessel Differential Equation. | ||
4) | Generating Function of Bessel Polynomial. | ||
5) | Legendre Differential Equation. | ||
6) | Generating Function of Legendre Polynomial. | ||
7) | Recurrence Relations. | ||
8) | Hermite Differential Equation. | ||
9) | Generating Function of Hermite Polinomial and Recurrence Relations. | ||
10) | Generating Function of Hermite Polinomial and Recurrence Relations (continued) | ||
11) | The Legendre Functions. | ||
12) | Generating Functions and Recurrence Relations. | ||
13) | The Laguerre Functions. | ||
14) | Laguerre Functions (continued) |
Course Notes: | Special Functions, Earl. D. Rainville, 1971, Chelsea Pub Co. |
References: | Special Functions, George E. Andrews, Richard Askey, Ranjan Roy, 2001, Cambridge University Press. Hypergeometric Functions and Their Applications, James B. Seaborn, 1991, Springer. |
Semester Requirements | Number of Activities | Level of Contribution |
Attendance | % 0 | |
Laboratory | % 0 | |
Application | % 0 | |
Field Work | % 0 | |
Special Course Internship (Work Placement) | % 0 | |
Quizzes | % 0 | |
Homework Assignments | % 0 | |
Presentation | 1 | % 20 |
Project | % 0 | |
Seminar | % 0 | |
Midterms | 1 | % 30 |
Preliminary Jury | % 0 | |
Final | 1 | % 50 |
Paper Submission | % 0 | |
Jury | % 0 | |
Bütünleme | % 0 | |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
Total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Laboratory | 0 | 0 | 0 |
Application | 0 | 0 | 0 |
Special Course Internship (Work Placement) | 0 | 0 | 0 |
Field Work | 0 | 0 | 0 |
Study Hours Out of Class | 14 | 5 | 70 |
Presentations / Seminar | 1 | 40 | 40 |
Project | 0 | 0 | 0 |
Homework Assignments | 0 | 0 | 0 |
Quizzes | 0 | 0 | 0 |
Preliminary Jury | 0 | ||
Midterms | 1 | 20 | 20 |
Paper Submission | 0 | ||
Jury | 0 | ||
Final | 1 | 28 | 28 |
Total Workload | 200 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution |