ECE 6007 Integral Equations and Transforms

Summer 2013

Center for Advanced Studies in Engineering (case.edu.pk)

Instructor: Dr. A. Mahmood (amahmood1109@gmail.com)

Recommended Text Books:

1. Introduction to Integral Equations with Application, 2nd/E by Abdul J. Jerri

(ISBN0-471-31734-9)

2. Advanced Engineering Mathematics, 9th/E by Erwin Kreyzig (ISBN0-471-48885-2)

3. Integral Equations and their Applications, by M. Rahman, ISBN: 978-1-84564-101-6,

Lectures: 11 (4 hrs each)

 

Topics Covered: Introduction to Integral Equation, Integro-Diffrential Equation, Classifications

of Integral Equations, Multiple Integrals reduction, Generalized Leibnitz formula, Volterra

Integral Equations and solution with Neumann Series and Successive Approximations, Fredholm

Integral Equations and Green’s Function Solution of Fredholm Inetgral Equations with Symmtric

Kernel and iterated Kernels, Integral Functions, Lapalace Transform and solution of integral

equations, Fourier transforms, Mellin Transform, Hilbert Transform.

Evaluation Detail:

Assignments: 15%

Quizzes: 15% (For DL students 2 Assignments of 7.5% each)

Midterm: 30% (6th July)

Final: 40%