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| FIZ2037 | Mathematical Methods in Physics - I | 4+0+0 | ECTS:6 | | Year / Semester | Fall 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 | Academic Staff | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To show mathematical principles used in Physics science and to give some applications in Physics |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | demonstrate a thorough knowledge of the core areas of physics, including mechanics, electricity and magnetism, thermal physics, and quantum mechanics. | 1 - 2 - 3 | 1, | | LO - 2 : | demonstrate a thorough knowledge of the necessary mathematics required for qualitative and qualitative analysis of problems in the core areas of physics. | 1 - 2 - 3 | 1, | | LO - 3 : | demonstrate the ability to analyze and interpret quantitative results, both in the core areas of physics and in complex problems that cross multiple core areas. They will also have the ability to assess and solve unfamiliar problems in physics using the knowledge and skills acquired. | 1 - 2 - 3 | 1, | | LO - 4 : | demonstrate the ability to communicate scientific results effectively, both verbally and in writing. | 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), LO : Learning Outcome | | |
| Complex variables. Functions of complex variables. Analytic functions. Complex integrations and Cauchy theorem. Taylor and Laurent series. Residues. Conform transformations. Schwartdz-Cristoffel transformation. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | The Set of Complex Numbers. | | | Week 2 | The Set of Complex Numbers. | | | Week 3 | Elementary functions | | | Week 4 | Differentiability and Analyticity in Functions of a Complex Variable. | | | Week 5 | Cauchy -Riemann Equations | | | Week 6 | Integral of Complex Functions and Cauchy's Theorems | | | Week 7 | Integral of Complex Functions and Cauchy's Theorems | | | Week 8 | Calculating Residues | | | Week 9 | Midterm Exam | | | Week 10 | Calculating Definite Integrals | | | Week 11 | Calculating Definite Integrals | | | Week 12 | Calculating Definite Integrals | | | Week 13 | Calculating Definite Integrals | | | Week 14 | Conformal Transformation | | | Week 15 | Conformal Transformation | | | Week 16 | Final Exam | | | |
| 1 | Karaoğlu,B. Fizik ve Mühendislikte Matematik Yöntemler | | | 2 | Başkan,T.2005;Kompleks Fonksiyonlar Teorisi,Nobel | | | 3 | Önem,C.1998;Fizikte Matematik Metodlar,Birsen Yayınevi | | | |
| 1 | Öztürk,E.2019;Fizik ve Mühendislikte Matematik Yöntemler, Seçkin | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 21/11/2025 | 2 | 50 | | End-of-term exam | 16 | 12/01/2026 | 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 | 5 | 14 | 70 | | 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 | | | 158 |
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