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| FIZ5060 | Special Functions in Physics | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Second Cycle | | Status | Elective | | Department | DEPARTMENT of PHYSICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Coşkun AYDIN | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Students who successfully complete this course should be able to solve practical problems for real quantum mechanical systems using a variety of mathematical techniques. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | discuss analitical structure of second order differantial equation | 1,2,3 | 1, | | PO - 2 : | learn and use the special functions of physics. | 1,2,3 | 1 | | PO - 3 : | solve the physics problems using the special fonctions | 1,2,3 | 1 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Differential equations of physics. Separation of variables. Analytic structure of second order equations. Introduction to Sturm-Liouville problem. Associated functions. Geometric functions. Legendre functions. Spherical harmonics. Bessel functions. Hermite functions. Laguerre functions. Finding special solutions by means of Green functions. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Partial Differential Equations of Theoretical Physics and Separation of Variables | | | Week 2 | The analitical Structure of The Second -Order Differantial Equations(Sigular Points,Series Solutions,A second solution) | | | Week 3 | The analitical Structure of The Second -Order Differantial Equations(Sigular Points,Series Solutions,A second solution) | | | Week 4 | Sturm-Liouville Theory | | | Week 5 | The Gamma Function,Icomplete Gamma Function,Digamma and Polygamma Functions,Beta Functions | | | Week 6 | Legendre Polinoms | | | Week 7 | Spherical Harmonics | | | Week 8 | Spherical Harmonics | | | Week 9 | Hypergeometric Function | | | Week 10 | Mid-term Exam | | | Week 11 | Bessel Functions | | | Week 12 | Hermite Functions | | | Week 13 | Laguerre Functions | | | Week 14 | Green Functions | | | Week 15 | Green Functions | | | Week 16 | End-of-term exam | | | |
| 1 | Arfen,George. Mathematical Methods For Physicists,Academic Press. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 8 | | 2 | 30 | | Homework/Assignment/Term-paper | 12 | | 2 | 20 | | End-of-term exam | 16 | | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 6 | 14 | 84 | | Arasınav için hazırlık | 10 | 7 | 70 | | Ödev | 6 | 3 | 18 | | Dönem sonu sınavı | 2 | 1 | 2 | | Diğer 1 | 2 | 1 | 2 | | Total work load | | | 218 |
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