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| FIZ2004 | Mathematical Methods in Physics - II | 4+0+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of PHYSICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Dr. Öğr. Üyesi Emine YILDIRIM | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To provide an understanding of mathematical methods for solving differential equations of physics. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Apply integral theorems to relevant physics problems. | 1 - 2 - 3 | 1, | | LO - 2 : | Defines abstract vector spaces and lists the conditions that must be met for these spaces to be linear vector spaces. | 1 - 2 - 3 | 1, | | LO - 3 : | Performs inner product operations on vector spaces. | 1 - 2 - 3 | 1, | | LO - 4 : | Establishes the relationship between the vector space and the orthogonal function. | 1 - 2 - 3 | | | LO - 5 : | Solves relevant equations using special functions and its properties. | 1 - 2 - 3 | | | LO - 6 : | Apply integral transforms to obtain solutions of differential equations. | 1 - 2 - 3 | | | LO - 7 : | Solve the partial differential equations of physics under appropriate boundary conditions. | 1 - 2 - 3 | | | 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), LO : Learning Outcome | | |
| Vector analysis. Orthogonal polynomials. Special polynomials in physiscs. Second order diffrential equations in physiscs. Integral transformations. Partial differential equations. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Vector Analysis | | | Week 2 | Coordinate Systems | | | Week 3 | Orthogonal Functions | | | Week 4 | Legendre Polynomials | | | Week 5 | Spherical Harmonics | | | Week 6 | Hermite Polynomials | | | Week 7 | Bessel Functions | | | Week 8 | Integral Transforms | | | Week 9 | Midterm Exam | | | Week 10 | Differantial Equations (Singular Points, Series Solutions) | | | Week 11 | Differantial Equations (Singular Points, Series Solutions) | | | Week 12 | Partial Differantial Equations | | | Week 13 | The Laplace equation in cartesian, spherical and cylindrical coordinates | | | Week 14 | Heat Equation | | | Week 15 | Wave Equations | | | Week 16 | End-of-term Exam | | | |
| 1 | Karaoğlu, B. Fizik ve Mühendislikte Matematik Yöntemler | | | 2 | Fizik ve Mühendislikte Matematik Yöntemler, Emine Öztürk, Seçkin Yayıncılık | | | |
| 1 | Önem, C. 1998; Fizikte Matematik Metodlar, Birsen Yayınevi | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | 2 | 50 | | 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 | 4 | 14 | 56 | | Sınıf dışı çalışma | 2 | 14 | 28 | | Arasınav için hazırlık | 2 | 8 | 16 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 2 | 6 | 12 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 116 |
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