Requisites: Pre-requisite: [Module ELE08103] Intermediate Mathematics A

This module will consist of 6 main topics:1. Consolidation of knowledge of calculus; introduction to vector calculus.2. Consolidation of the knowledge of calculus;solving ordinary differential equations.3. Understanding the character and application of Laplace Transforms 4. Definition and character of the Fourier Series, and their application.5. Understanding the nature of partial differential equations and their solution.

Upon completion of this module you will be able to

LO1: Use vector calculus - divergence. gradient and curl.

LO2: Construct Laplace transforms, identify their inverses, and apply this to engineering problems.

LO3: Solve first and second order ordinary differential equations using various techniques.

LO4: Construct Fourier series of a given function.

LO5: Understand the concept of a Partial Differential Equation and use the method of separation of variables.