Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  9101045052019  Mathematical Methods for Physicists I  Compulsory  1  1  8 

Level of Course Unit 
Second Cycle 
Language of Instruction 
Turkish 
Objectives of the Course 
Mathematics is accepted as the common language of scientific work. Departing from this basic philosophy the course aims to provide the methods of mathematics as a tool for those who want to do theoretical as well as experimental resarch in the broad area of physics. Derivations, solutions and interpretations of the basic equations of mathematical physics are the principal aim of the course. In order to derive the equations the priciples of physics are incorporated. For the solutions of the differential equations, methods of solutions are introduced. After that, from the point of correctness solutions are discussed for concomitant problems. The sample problems of applications are chosen in physics. 
Name of Lecturer(s) 
Dr. Öğr. Üyesi Ahmet Çelikoğlu 
Learning Outcomes 
1  To grab the importance of differential equations in physics.  2  To familiarize with the basic differential equations of physics.  3  To investigate some special differential equations from the point of application.  4  To familiarize with the special functions which are the solutions of some differential equations.  5  To discuss the properties of special functions.  6  To discuss the correctness of the solution. 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 
None 
Recommended Optional Programme Components 
None 
Course Contents 
Mathematical description of physical phenomena. The some differential Equation of Mathematical Physics. The Homogeneous Boundary Value Problems. Heat Conduction. Diffusion. Waves On String And Membranes. Ordinary Differential Equations of Mathmatical Physics. Seperation of Variables Techniques. Coordinate Systems of Rectangular,Cylindrical and Spherical. Series Solution of Ordinary Differential Equations. Sturm Liouville Eigenvalue Problem. Fourier Series and Integrals. Inhomogeneous Problems. Green’s Functions. 
Weekly Detailed Course Contents 

1  Mathematical Description of Physical Phenomena.    2  The differential Equation of Mathematical Physics .    3  The Homogeneous Boundary Value Problems.    4  Ordinary Differential Equations of Mathmatical Physics.    5  Seperation of Variables Techniques.    6  Coordinate Systems of Rectangular,Cylindrical and Spherical.    7  Midterm Exam    8  Series Solution of Ordinary Differential Equations    9  Fourier Series and Integrals.    10  Sturm Liouville Eigenvalue Problem.    11  Inhomogeneous Problems    12  Heat Conduction.    13  Diffusion.    14  Green’s Functions.    15  Waves On String And Membranes.    16  Final Term Exam.   

Recommended or Required Reading 
1. Bayın S., “Fen ve Mühendislik Bilimlerinde Matematik Yöntemler” Ders kitapları A.Ş. Ankara (2004).
2. Weltner K., Weber W.J., Grosjean J., Schuster P., Mathematics for Physicists and Engineers, Springer (2009)
3. Chow L. Tai, Mathematical Methods for Physicists A Concise Introduction, Cambridge (2000).

Planned Learning Activities and Teaching Methods 
Activities are given in detail in the sections of "Assessment Methods and Criteria" and "Workload Calculation". 
Assessment Methods and Criteria  
Homework  1  100  SUM  100  
Final Sınavı  1  100  SUM  100  Term (or Year) Learning Activities  40  End Of Term (or Year) Learning Activities  60  SUM  100 
 Work Placement(s)  None 

Workload Calculation 