Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
9101045052019Mathematical Methods for Physicists ICompulsory118
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
1To grab the importance of differential equations in physics.
2To familiarize with the basic differential equations of physics.
3To investigate some special differential equations from the point of application.
4To familiarize with the special functions which are the solutions of some differential equations.
5To discuss the properties of special functions.
6To 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
WeekTheoreticalPracticeLaboratory
1Mathematical Description of Physical Phenomena.
2The differential Equation of Mathematical Physics .
3The Homogeneous Boundary Value Problems.
4Ordinary Differential Equations of Mathmatical Physics.
5Seperation of Variables Techniques.
6Coordinate Systems of Rectangular,Cylindrical and Spherical.
7Midterm Exam
8Series Solution of Ordinary Differential Equations
9Fourier Series and Integrals.
10Sturm Liouville Eigenvalue Problem.
11Inhomogeneous Problems
12Heat Conduction.
13Diffusion.
14Green’s Functions.
15Waves On String And Membranes.
16Final 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
Term (or Year) Learning ActivitiesQuantityWeight
Homework1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Sınavı1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination133
Final Examination133
Attending Lectures14228
Individual Study for Mid term Examination13030
Individual Study for Final Examination14040
Homework915135
TOTAL WORKLOAD (hours)239
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
LO132141133211
LO232131134311
LO332141133311
LO432141134311
LO532131134211
LO642141134411
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr