Offered Courses:

Advanced Engineering Mathematics,

1st Semester, 1389-90

Start of the course: Tuesday 30th Shahrivar

Schedule: Sundays, Tuesdays 15:00-16:30

Midterm Exam: Thursday, 18 Azar

General Description

'Without mathematics we cannot penetrate deeply into philosophy,

Without philosophy we cannot penetrate into mathematics,

Without both we cannot deeply penetrate into anything,'

Gottfried Wilhelm von Leibnitz

This course deals with the fundamental concepts of mathematics, which find quotidian applications for engineering disciplines in general and electrical engineering in particular. Serious consideration is given to the applicability of the presented materials yet sacrificing those eminent mathematical ideas, which play a vital role in perfect perception of the whole technique, is tried to be dodged by elaborating them in so far as time constraints consent to.

The following topics will be covered:

0. Mathematics, Physics and Engineering: Protagonists of the Modern Theater

1. Linear Analysis, Hilbert Space and Operators

2. The Green's Function Method and Sturm-Liouville Operator Theory,

3. The Spectral Representation Method,

4. Mathematical Modeling of electromagnetic Sources,

5. Application: Spectra of Open and Closed Waveguides.