(hour/week) >
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;

Course Description  This course includes the topics of linear algebra, diagonalization of matrices, vector analysis, diracdelta function, beta and gamma functions, SturmLiouville theory, Legendre, Bessel, Hermite and Laguerre functions, Fourier series, Laplace and Fourier transformations, partial differential equations, functions of complex variables, contour integration, and tensors. 
 Core Courses  X 
Major Area Courses  
Supportive Courses  
Media and Managment Skills Courses  
Transferable Skill Courses 
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  Eigenvalues, eigenvectors, and diagonalization  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 3. ISBN: 9780471198260 
3  Vector Analysis, Gauss, Green and Stoke Theorems  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 6. ISBN: 9780471198260 
4  Coordinate transformations and tensors  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 10. ISBN: 9780471198260 
5  Differentials and integrals  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 45. ISBN: 9780471198260 
6  SturmLiouville theory  George B. Arfken, Hans J. Weber, and Frank E. Harris, Mathematical Methods For Physicists, 7th edn. (Elsevier, 2012). Chapter 8. ISBN: 9789381269558 
7  Legendre, Bessel, Hermite and Laguerre functions  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 1112. ISBN: 9780471198260 
8  Midterm exam 1  
9  Fourier series, Fourier and Laplace transforms  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 78. ISBN: 9780471198260 
10  Fourier series, Fourier and Laplace transforms  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 78. ISBN: 9780471198260 
11  Partial differential equations  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 13. ISBN: 9780471198260 
12  Functions of complex variables  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 14. ISBN: 9780471198260 
13  Contour integration  Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edn. (Wiley, 2005). Chapter 14. ISBN: 9780471198260 
14  Contour integration  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 
Semester Activities  Number  Weigthing 
Participation  1  10 
Laboratory / Application  
Field Work  
Quizzes / Studio Critiques  
Portfolio  
Homework / Assignments  1  25 
Presentation / Jury  
Project  
Seminar / Workshop  
Oral Exam  
Midterm  1  25 
Final Exam  1  40 
Total 
Weighting of Semester Activities on the Final Grade  3  60 
Weighting of EndofSemester Activities on the Final Grade  1  40 
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  12  4  48 
Field Work  
Quizzes / Studio Critiques  
Portfolio  
Homework / Assignments  10  3  
Presentation / Jury  
Project  
Seminar / Workshop  
Oral Exam  
Midterms  1  15  
Final Exams  1  23  
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 selfimprove 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 nonexperts 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