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Information
| Unit | INSTITUTE OF NATURAL AND APPLIED SCIENCES |
| PHYSICS (PhD) | |
| Code | FK536 |
| Name | Mathematical Methods in Physics II |
| Term | 2018-2019 Academic Year |
| Term | Spring |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | İngilizce |
| Level | Belirsiz |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. METİN ÖZDEMİR |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
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
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understands the importance of precision in mathematics. |
| LO02 | Understands special function in physics. |
| LO03 | Understands the relation between eigenfunctions and eigenvalues in physics. |
| LO04 | Understands the basis and importance of special functions in physics. |
| LO05 | Understands komplex functions and their applications in physics. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | 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. | |
| PLO02 | - | Use the equipment used in the field. | |
| PLO03 | - | Gain experience on experimental measurements and their graphical representation with appropriate units and accuracy | |
| PLO04 | - | Interpret observational and experimental results. | |
| PLO05 | - | Deduce from sources which are obtained by research during the process of preparing proficiency exam. | |
| PLO06 | - | Interpret information in their field written and oral | |
| PLO07 | - | Demonstrate the knowledge of appropriate mathematical techniques used in physics. | |
| PLO08 | - | Has a knowledge about the logic of scientific research. | |
| PLO09 | - | Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. | |
| PLO10 | - | Has attained advanced skills to apply research methods in studies related with the physics area. | |
| PLO11 | - | Develops a scientific method that brings innovation to science. | |
| PLO12 | - | Performs the critical analysis, synthesis and evaluation of new and complicated thought. | |
| PLO13 | - | Can demonstrate the ability to perform an independent research in a specific issue related to physics. | |
| PLO14 | - | Acts as a leader in environments where it is necessary to solve original and interdisciplinary problems. | |
| PLO15 | - | To keep track of the developments in physics and updates himself/herself invariably. | |
| PLO16 | - | Can calculate the predictions of a physical theory and compare with the experimental results. | |
| PLO17 | - | Comprehends the interdisciplinary interaction with which the physics area is related. | |
| PLO18 | - | 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 | - | Can develop original solutions to physical problems. | |
| PLO20 | - | 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 relevant section in the textbook. | |
| 2 | Vector spaces (cont'd) | Study the relevant section in the textbook. | |
| 3 | Komplex functions | Study the relevant section in the textbook. | |
| 4 | Komplex functions (con'd) | Study the relevant section in the textbook. | |
| 5 | Special functions | Study the relevant section in the textbook. | |
| 6 | Gamma function | Study the relevant section in the textbook. | |
| 7 | Hermite, Legendre and more special functions | Study the relevant section in the textbook. | |
| 8 | Mid-Term Exam | mid-term exam | |
| 9 | Orthogonal functions | Study the relevant section in the textbook. | |
| 10 | Eigenfunction and eigenvalues | Study the relevant section in the textbook. | |
| 11 | Fourier series | Study the relevant section in the textbook. | |
| 12 | Fourier series (cont'd) | Study the relevant section in the textbook. | |
| 13 | Integral equations | Study the relevant section in the textbook. | |
| 14 | Integral equation, calculus of variations | Study the relevant section in the textbook. | |
| 15 | Calculus of variations (cont'd) | Study the relevant section in the textbook. | |
| 16 | Term Exams | Fianl exams | |
| 17 | Term Exams | Final exams |