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Information
| Code | FK014 |
| Name | Mathematical Methods in Physics II |
| Term | 2022-2023 Academic Year |
| Term | Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. METİN ÖZDEMİR |
| Course Instructor |
1 |
Course Goal / Objective
To introduce the student the basic mathematical methods used in graduate studies.
Course Content
Vector spaces in physics, Hilbert space-complete orthonormal sets of functions. the theory of functions of a complex variable, special functions of mathematical physics, Gamma function, Bessel and Legendre functions; Orthogonal Functions, eigenfunctions, eigenvalues; Fourier series; integral equations, Calculus of Variations.
Course Precondition
none
Resources
1- Mathematical Methods in the Physical Sciences, Mary Boas, Wiley. 2- Mathematical Methods for Physicists, 6th Ed., Arfken, Weber
Notes
Lecture notes, homework problems uploaded to MS teams.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understands the importance of precision in Mathematics. |
| LO02 | Understands special functions in Physics. |
| LO03 | Makes the connection between eigenfunctions and eigenvalues in Physics. |
| LO04 | Understands the basis and impotance of special functions in physics. |
| LO05 | Understands complex functions and their applications in physics. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Based on the qualifications of the MA level, develops and deepens the current and advanced knowledge in the area by unique means of thinking and / or research at mastery level and comes up with original definitions which bring about novelty to the physics area. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Use the equipment used in the field. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Gain experience on experimental measurements and their graphical representation with appropriate units and accuracy | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Interpret observational and experimental results. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Deduce from sources which are obtained by research during the process of preparing proficiency exam. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Interpret information in their field written and oral | 3 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Demonstrate the knowledge of appropriate mathematical techniques used in physics. | 5 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Has a knowledge about the logic of scientific research. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. | 4 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Has attained advanced skills to apply research methods in studies related with the physics area. | 3 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Develops a scientific method that brings innovation to science. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Performs the critical analysis, synthesis and evaluation of new and complicated thought. | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Can demonstrate the ability to perform an independent research in a specific issue related to physics. | 3 |
| PLO14 | Bilgi - Kuramsal, Olgusal | Acts as a leader in environments where it is necessary to solve original and interdisciplinary problems. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | To keep track of the developments in physics and updates himself/herself invariably. | 3 |
| PLO16 | Bilgi - Kuramsal, Olgusal | Can calculate the predictions of a physical theory and compare with the experimental results. | 3 |
| PLO17 | Bilgi - Kuramsal, Olgusal | Comprehends the interdisciplinary interaction with which the physics area is related. | 3 |
| PLO18 | Bilgi - Kuramsal, Olgusal | Shares his/her ideas and suggestions for solutions to the physical problems with experts and non-experts by supporting them with quantitative and qualitative data. | |
| PLO19 | Bilgi - Kuramsal, Olgusal | Can develop original solutions to physical problems. | |
| PLO20 | Bilgi - Kuramsal, Olgusal | Can prepare a scientific article and can publish scientific articles about his/her field in international refereed journals. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Vector spaces | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 2 | Vector spaces (cont'd) | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 3 | Komplex functions | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 4 | Komplex functions (cont'd) | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 5 | Special functions | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 6 | Gamma function | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 7 | Hermite, Legendre and more special functions | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Mid-term exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Ortogonal Fonksiyonlar | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 10 | Eigenfunction and eigenvalues | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 11 | Fourier series | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 12 | Fourier series (cont'd) | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 13 | Integral equations | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 14 | Integral equations, Variational analysis | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 15 | Variational analaysis (cont'd) | Study the relevand section of the Textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 16 | Term Exams | Final exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 28 | 28 |
| Total Workload (Hour) | 153 | ||
| Total Workload / 25 (h) | 6,12 | ||
| ECTS | 6 ECTS | ||