| Course Name | Mathematical Methods in Physics |
| Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
|---|---|---|---|---|---|
| PHYS 306 | Spring | 2 | 2 | 3 | 6 |
| Prerequisites | None | |||||
| Course Language | English | |||||
| Course Type | Required | |||||
| Course Level | First Cycle | |||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | ||||||
| Course Coordinator | ||||||
| Course Lecturer(s) | ||||||
| Assistant(s) | - | |||||
| Course Objectives | This course aims to provide the students with various mathematical tools and techniques which are commonly required to analyse physics problems. |
| Learning Outcomes | The students who succeeded in this course;
|
| Course Description | This course includes the topics of linear algebra, diagonalization of matrices, vector analysis, dirac-delta function, beta and gamma functions, Sturm-Liouville theory, Legendre, Bessel, Hermite and Laguerre functions, Fourier series, Laplace and Fourier transformations, partial differential equations, functions of complex variables, contour integration, and tensors. |
| Related Sustainable Development Goals | |
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| Core Courses | X |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Managment Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Required Materials |
| 1 | Linear Algebra | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 3) and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 3) |
| 2 | Eigenvalues, Eigenvectors, and Diagonalization | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 3) and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 3) |
| 3 | Vector Analysis, Gauss, Green and Stoke Theorems | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 6) and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 1) |
| 4 | Dirac-delta, Gamma and Beta Functions | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 8 and 11) |
| 5 | Sturm-Liouville Theory | Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 10) |
| 6 | Legendre, Bessel, Hermite and Laguerre Functions | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 12) |
| 7 | Fourier Series | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 7) |
| 8 | Review of the First Half of the Course | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris |
| 9 | Fourier and Laplace Transforms | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 7 and 8) and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 15) |
| 10 | Partial Differential Equations | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 13) and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 9) |
| 11 | Partial Differential Equations | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 13) and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 9) |
| 12 | Functions of Complex Variables | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 14) and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 6) |
| 13 | Contour Integration | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 14) and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris (Chapter 7) |
| 14 | Coordinate Transformations and Tensors | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas (Chapter 10) |
| 15 | Review of the Semester | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas and Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris |
| 16 | Final Exam |
| Course Notes/Textbooks | Mathematical Methods in the Physical Sciences 3rd edition, Mary L. Boas |
| Suggested Readings/Materials | Mathematical Methods For Physicists A Comprehensive Guide 7th Ed. George B. Arfken, Hans J. Weber, Frank E. Harris |
| Semester Activities | Number | Weigthing |
| Participation | 1 | 10 |
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | 10 | 30 |
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exam | ||
| Midterm | 1 | 25 |
| Final Exam | 1 | 35 |
| Total |
| Weighting of Semester Activities on the Final Grade | 12 | 65 |
| Weighting of End-of-Semester Activities on the Final Grade | 1 | 35 |
| Total |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Course Hours (Including exam week: 16 x total hours) | 16 | 2 | 32 |
| Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | 2 | |
| Study Hours Out of Class | 16 | 3 | 48 |
| Field Work | |||
| Quizzes / Studio Critiques | |||
| Portfolio | |||
| Homework / Assignments | 10 | 2 | |
| Presentation / Jury | |||
| Project | |||
| Seminar / Workshop | |||
| Oral Exam | |||
| Midterms | 1 | 20 | |
| Final Exams | 1 | 28 | |
| Total | 180 |
| # | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
| 1 | To be able master and use fundamental phenomenological and applied physical laws and applications, | X | ||||
| 2 | To be able to identify the problems, analyze them and produce solutions based on scientific method, | X | ||||
| 3 | To be able to collect necessary knowledge, able to model and self-improve in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions, | X | ||||
| 4 | To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the non-experts comfortably, | X | ||||
| 5 | To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License, | |||||
| 6 | To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in, | X | ||||
| 7 | To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance, | X | ||||
| 8 | To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results, | X | ||||
| 9 | To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life, | X | ||||
| 10 | To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively. | |||||
| 11 | To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1). | X | ||||
| 12 | To be able to speak a second foreign at a medium level of fluency efficiently | |||||
| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. | |||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
