# 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, 2^{nd} edition.

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**References:**

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

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

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

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**Grading System:**

Homework/Quiz 10%

Midterm 30%

Final 60%

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