PH605 : Mathematical physics

Department

Physics

Academic Program

Master in Physics

Type

Compulsory

Credits

03

Prerequisite

Overview

This course aims to learn and deal with advanced mathematics, use concepts and formulas of mathematics in solving physics issues and scientific research, and help develop skills and ways of thinking in dealing with advanced issues that serve research fields. It covers vectors, matrices, multi-order, beta and gamma functions, error calculation, numerical analysis, Bessel and Legend functions, and spherical symmetry.

Intended learning outcomes

By studying the course, the student will be able to:1- Derive the eigenvalues and eigenvectors of matrices.2- Calculate the determinant of the matrix.3- Identify and treat complex numbers and derive their different properties.4- Solve different differential equations.5- Apply Fourier and Laplace transforms to solve differential equations and derive asymptotic properties of solutions.

Teaching and learning methods

• Lectures• exercises..• Independent self-studies

Methods of assessments

1- Midterm exam first 20%.2- Half exercises 5%.3- Second midterm exam 20%.4- Half exercises 5%.5- Final exam 50%

Course contents

Week Due	exercises	Lectures	contact hours	Topics List
3	-	9	9	Vectors
3	-	9	9	Matrices and Tensor
1	-	3	3	Convergence tests
1	-	3	3	Complex analysis
1	-	3	3	Beta and Gamma functions
1	--	3	3	Differential equations
1	-	3	3	Error calculation and numerical analysis
1	-	3	3	Bessel and Legender functions
1	-	3	3	Spherical Harmonics
1	-	3	3	Other special functions

Learning Resources

Text Book
Reference's name	publisher	Release	Author
MATHEMATICAL METHODS FOR PHYSICISTS	Elsevier	7th	George B. Arfken

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