Description of Individual Course Units
 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 co-requisities
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
 Week Theoretical Practice Laboratory 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.
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
 Term (or Year) Learning Activities Quantity Weight Homework 1 100 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight 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
 Activities Number Time (hours) Total Work Load (hours) Midterm Examination 1 3 3 Final Examination 1 3 3 Attending Lectures 14 2 28 Individual Study for Mid term Examination 1 30 30 Individual Study for Final Examination 1 40 40 Homework 9 15 135 TOTAL WORKLOAD (hours) 239
Contribution of Learning Outcomes to Programme Outcomes
 PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 LO1 3 2 1 4 1 1 3 3 2 1 1 LO2 3 2 1 3 1 1 3 4 3 1 1 LO3 3 2 1 4 1 1 3 3 3 1 1 LO4 3 2 1 4 1 1 3 4 3 1 1 LO5 3 2 1 3 1 1 3 4 2 1 1 LO6 4 2 1 4 1 1 3 4 4 1 1
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High

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