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 |
| Line Integrals
Green’s Theorem |
| Independence of Path and Potential Theory
Surface Integrals |
| 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 |