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FACULTY OF SCIENCE / PHYSICS / FIZ2003 - MATHEMATICAL METHODS IN PHYSICS I
GENERAL INFORMATION ABOUT THE COURSE
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Course Title
Theoretical
Practical
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Course Objective
To introduce the basic mathematical methods that are used in the main physics courses such as quantum theory, electromagnetic theory and classical mechanics.
Brief Content of the Course
(1) Vector analysis; Einstein summation convention; Permutation and Kronecker delta symbol; Vector differential operators: gradient, divergence, curl and theorems expressed using these operators; Curvilinear coordinates and introduction to tensor analysis, (2) Linear vector spaces; linear independence; orthogonality; Gram-Schmidt method; determinant; Real Symmetric, Hermitian, unitary matrices and their properties eigenvalues and eigenvectors; Cayley-Hamilton theorem; Jordan canonical block-diagonal form and the diagonalization of linear operators, Introduction to infinite dimensional vector spaces
Prerequisites
none
Course Objectives
Course Objectives
1
To provide a working knowledge of vector analysis and introductory tensor analysis.
2
To provide a working knowledge of linear algebra, vector spaces, linear operators etc.
3
To provide a basic knowledge of infinite dimensional complex vector spaces, Hilbert spaces, etc.
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Course Category
Course Category
Percentage
Mathematics and Basic Sciences
Basic Vocational Courses