COURSE INTRODUCTION AND APPLICATION INFORMATION


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 Online
Teaching Methods and Techniques of the Course Discussion
Problem Solving
Lecture / Presentation
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;
  • use the methods of linear algebra for solving problems in physics.
  • define the properties of various special mathematical functions that prove to be relevant in physics.
  • apply the Sturm-Liouville theory in physics problems.
  • compare Fourier analysis of differential equations with standard methods.
  • discuss the general properties of complex valued functions.
  • evaluate integrals using the technique of contour integration.
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.

 



Course Category

Core Courses
X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Required Materials
1 Linear Algebra Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 3. ISBN: 9780471198260
2 Linear Algebra Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 3. ISBN: 9780471198260
3 Vector Analysis Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 6. ISBN: 9780471198260
4 Vector Analysis Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 10. ISBN: 9780471198260
5 Gauss, Green and Stokes Theorems Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 4-5. ISBN: 9780471198260
6 Infinite Series George B. Arfken, Hans J. Weber, and Frank E. Harris, Mathematical Methods For Physicists, 7th edn. (Elsevier, 2012). Chapter 8. ISBN: 9789381269558
7 Infinite Series and Midterm Exam 1 Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 11-12. ISBN: 9780471198260
8 Fourier Series and Transforms Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 7. ISBN: 9780471198260
9 Fourier Series and Transforms Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 7. ISBN: 9780471198260
10 Coordinate Transformations Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 10. ISBN: 9780471198260
11 Functions of Complex Variables Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 14. ISBN: 9780471198260
12 Functions of Complex Variables and Midterm Exam 2 Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 14. ISBN: 9780471198260
13 Contour Integrals Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 14. ISBN: 9780471198260
14 Contour Integrals Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 14. ISBN: 9780471198260
15 Semester Review
16 Final Exam
Course Notes/Textbooks

Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). ISBN: 9780471198260 

Suggested Readings/Materials

George B. Arfken, Hans J. Weber, and Frank E. Harris, Mathematical Methods For Physicists, 7th edn. (Elsevier, 2012). ISBN: 9789381269558

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
1
5
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
1
15
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
2
40
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
3
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

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
12
4
48
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
10
3
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
2
15
Final Exams
1
23
    Total
195

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
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,

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,

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,

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,

9

To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life,

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).

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