FK009 Mathematical Methods in Physics I

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code FK009
Name Mathematical Methods in Physics I
Term 2024-2025 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 Yüksek Lisans 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 analysis, Determinant and matrices, infinite series, diferential equations, variational anaysis.

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 precision nature of mathematical expressions.
LO02 Understands vector analysisi and its relation with physics.
LO03 Understands how to solve differential equations.
LO04 Understands infinite series.
LO05 Understands the relation between mathematics and physics.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has sufficient infrastructure in various subjects of Physics. 5
PLO02 Bilgi - Kuramsal, Olgusal Demonstrate the knowledge of appropriate mathematical techniques used in physics. 5
PLO03 Bilgi - Kuramsal, Olgusal Interpret observational and experimental results. 2
PLO04 Bilgi - Kuramsal, Olgusal Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. 3
PLO05 Bilgi - Kuramsal, Olgusal Has a knowledge about the logic of scientific research. 2
PLO06 Bilgi - Kuramsal, Olgusal Report the solution of a physics problem, experimental results or projects in a written format or orally.
PLO07 Bilgi - Kuramsal, Olgusal Chooses and uses the necessary publications, books and methods for a scientific research.
PLO08 Bilgi - Kuramsal, Olgusal Accesses a knowledge about a subject in physics, does literature search and uses other sources for this purpose.
PLO09 Bilgi - Kuramsal, Olgusal Provides solutions to the problems encountered in the physics field applying research methods. 3
PLO10 Bilgi - Kuramsal, Olgusal Can perform an independent research. 3
PLO11 Bilgi - Kuramsal, Olgusal Can perform group work effectively in a research or industrial projects.
PLO12 Bilgi - Kuramsal, Olgusal Becomes conscious of the necessity of lifelong learning. 3
PLO13 Bilgi - Kuramsal, Olgusal To keep track of the developments in physics and updates himself/herself invariably. 3
PLO14 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.
PLO15 Bilgi - Kuramsal, Olgusal Can make an effective written or oral presentation of the results obtained in a study.
PLO16 Bilgi - Kuramsal, Olgusal Makes use of the knowledge, problem solving and / or application skills acquired in the physics field in interdisciplinary studies. 3
PLO17 Bilgi - Kuramsal, Olgusal Has a foundation necessary to work in a research and development organizations. 3


Week Plan

Week Topic Preparation Methods
1 Vector analysis, vektor operations Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
2 Gradient, divergance, curl Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
3 Vector theorems Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
4 Matrices Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
5 Determinants Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
6 Eigenvalues and eigenvectors Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
7 İnfinite series, basic definitions, convergence tests 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 Function series Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
10 Differential equations, their classification Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
11 First order differential equations Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
12 Two or higher order differential equations Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
13 Series solutions of differential equations Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
14 Method of Frobenius Study the relevand section of the Textbook. Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
15 Introduction to variational analysis 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 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 1 2 2
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 159
Total Workload / 25 (h) 6,36
ECTS 6 ECTS

Update Time: 09.05.2024 10:08