Information
Code | FK014 |
Name | Mathematical Methods in Physics II |
Term | 2023-2024 Academic Year |
Semester | . Semester |
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 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 |