Mathematical Physics I

  

 

ISLAMIC UNIVERSITY OF GAZA

Department of Physics

 

Mathematical Physics I

(Phys 3372)

 

Instructor: Dr. Sofyan A. Taya

Associate Professor of Physics

Vice Dean for admission and registration

 

Office: Room 2, Deanery of admission and registration  

Office hours: SMW 10:00 – 11:00 and N 11:00 – 12:00.

Email.: staya@iugaza.edu.ps

 

Semester: Spring Semester 2012-2013

Total Credits: 3 credit hours.

 

Course Outline

          Vector analysis (Triple products, differentiation, gradient, curl, divergence, Laplacian, integration, Green's theorem, Stokes and divergence theorems).   

          Coordinate systems (Curvilinear coordinates, special coordinate systems, separation of variables).  

          Determinants (Properties, solution of equations, Jacobian, Wronskian)

          Matrices (Algebra of matrices, applications, special types, solution of equations, eigenvalues and eigenvectors).   

          Infinite series (Taylor's and Maclaurin's expansions).

          Complex variables (Algebra, Euler's formula, de Moivre's theorem, transformations, functions of a complex variable, contour integral, Cauchy's theorem, residue, poles).

 

Textbook: G. Stephenson, Mathematical methods for science students, 2nd edition.

 

References:

1-      M. Boas, Mathematical methods in the physical sciences, 2nd edition.

2-      G. Arfken, Mathematical methods for physicists, 6th edition.

3-      K.F. RILEY, M.P. HOBSON and S. J. BENCE, Mathematical Methods for Physics and Engineering, 3rd edition.

 

Course Aims:

This course is intended to provide the students with the mathematics they need for advanced undergraduate courses such as Electromagnetic Theory and Quantum Mechanics. It is also intended to develop a strong mathematical background for those who will pursue their study in the field of theoretical physics.

 

Grading System:

Homework/Quiz                                 10%

Midterm                                              30%

Final                                                    60%

 

Midterm exam will be held on Sunday 21/04/2013. 

Final exam will be held on Tuesday 21/05/2011 (9:00 – 11:00).