## 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