ELEC50011 Mathematics for Engineers IIBLecturer(s): Dr Stefan Vlaski; Prof Tom Pike; Dr Stefan Vlaski Aims
Mathematics is the foundation of engineering sciences and has become increasingly relevant to disciplines that are driving technological developments in this digital age.
In this module, we will build on the concepts taught in Year 1 to cover more advanced topics in mathematics that are relevant to both electrical and information engineering. The topics to be covered are divided in two parts: Part A: Complex Variables and Linear Algebra Part B: Probability and Statistics. Learning Outcomes
Upon successful completion of this module, you will be able to:
1. Use MATLAB to solve nonlinear twodimensional differential equations based on numerical techniques. 2. Utilise concepts in linear algebra to solve problems in signal processing, systems and control. 3. Explain the concepts and techniques of probability and statistics and compute properties of random systems. 4. Use basic Bayesian estimator and calculate the method of moment and the maximum likelihood estimator. 5. Formulate the ways in which these mathematical techniques are applied to technical problems in your engineering modules. Syllabus
Part A: Complex variables and linear algebra
 Conformal mapping and contour integration  Linear transformations, matrix decomposition and computation with matrices; singular value decomposition Part B: Probability and Statistics  Random variables, probability density function, cumulative distribution function, expectation and variance of a single and multiple discrete or continuous random variable(s), change of variables, moments, moment generating function, conditional expectation and variance  Basic properties of estimators, method of moments and maximum likelihood estimators Exam Duration: 1:30hrs Exam contribution: 80% Coursework contribution: 20% Term: Autumn Closed or Open Book (end of year exam): N/A Coursework Requirement: Laboratory Experiment Nonassessed problem sheets Oral Exam Required (as final assessment): no Prerequisite module(s): None required Course Homepage: unavailable Book List:
