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.