Advanced Engineering Mathematics
This is a level 3 course aimed at students pursuing a degree in Engineering disciplines such as electrical, civil, or mechanical engineering. Teaching in this course will always be supported by practice problems and computer simulations. It covers the following topics.
|The Laplace Transform
Solutions of initial value problems using the Laplace Transform
| Shifting Theorem
Vector Functions of one Variable
|The Gradient Field
Divergence and Curl
|Independence of Path and Potential Theory
|Divergence Theorem of Gauss
The integral theorem of stokes.
|Why Fourier Series?
The Fourier Series of a function
|Convergence of Fourier Series
The Fourier integral
|Fourier Cosine and Sine Integrals
The Complex Fourier integral and the Fourier Transform
|The Wave Equation and Initial and boundary conditions|
|Fourier Series Solution of the wave equation|
|The Heat Equation and Initial and boundary conditions|
|Fourier Series Solution of the heat equation|