Module description
This module introduces a number of mathematical techniques which are important in Engineering, and specifically in Electronic Engineering. Expanding on ordinary and partial differential equations that commonly arise in engineering applications, and introduces various techniques for solving systems of ordinary and partial differential equations including Laplace transforms.
The module also expands on probability theory and random processes: elementary combinatorial probability, mean, variance, binomial, Poisson and Gaussian densities, introduction to bivariate densities, conditional probability, covariance, correlation, Random processes: examples of well-known random processes (Poisson, Normal), Properties: Correlation, covariance, auto covariance, correlation coefficient, cross covariance, dependence, wide sense Stationery random processes, Systems with stochastic inputs, Power spectrum, Discrete time random process.
This module also expands on calculation of surface and volume integrals as well as line integral, curl, divergence and gradient .
Assessment details
Written examination/s & Coursework
Educational aims & objectives
This module introduces a number of mathematical techniques which are important in understanding, analysis and design of Engineering problems.
Learning outcomes
At the end of the module, students:
will have acquired competence in mathematical techniques, chiefly in the solution of the ordinary and partial differential equations that commonly arise in engineering applications
will have a good understanding of Line, Surface, and Volume integrals
will be familiar with concepts of Gradient, Curl, and Divergence and will be able to do manipulations involving these operators
will have learnt the fundamentals of theory of probability and random processes
will have a good understanding of the important random processes such as Poisson and Normal
will be able to recognise how to reduce unseen engineering p