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2011/2 Provisional Module Catalogue - UNDER CONSTRUCTION & SUBJECT TO CHANGE
 Module Code: EEE2023 Module Title: ENGINEERING MATHS
Module Provider: Electronic Engineering Short Name: EEE2023
Level: HE2 Module Co-ordinator: DEANE JH Dr (Maths)
Number of credits: 20 Number of ECTS credits: 10
 
Module Availability
Autumn and Spring Semesters
Assessment Pattern
Unit(s) of Assessment
Weighting Towards Module Mark( %)
2 hour closed book examination
80%
2 problem sheets
20%
Module Overview
This module builds on the fundamental tools and concepts introduced in the Mathematics courses at Level 1 and applies them to further engineering examples. There is a broad range of mathematics topics covered and the applications are always borne in mind
Prerequisites/Co-requisites
An adequate grasp of Level 1 Maths A and B
Module Aims
That each student will
  • be able to apply mathematics analytically to electronic engineering problems;
  • be able to select the appropriate mathematical techniques for a range of problems, while understanding their limitations;
  • show ability to present solutions to problems in a clear and structured way.
Learning Outcomes
Students will be able to demonstrate the application of relevant Mathematics that underpins Telecommunications, Linear Systems, Electromagnetism, Networks, Laboratories and substantial parts of many Final Year Options. An ability to display Mathematical skills essential to Professional Electronic Engineers.
Module Content

[1-6] Fourier Series and Fourier Transforms. Comparison of time and frequency domain. Fourier transforms and inverse transforms. Convolution. Application to signal processing. Quick method for calculating Fourier transforms.

 

[7-8] Probability. Meaning of probability. Dependent, independent and mutually exclusive events.

 

[9-12] Statistics. Definition of terms. The probability density function. Normalisation. Normal, Binomial and Poisson probability density functions. Applications to errors, noise, and least squares fitting of straight lines and other curves to data.

 

[13-15] Method of least squares.

 

[16-18] Matrices. Determinants. Matrix algebra. Transpose and inverse. Solution of linear simultaneous equations. Eigenvalues and eigenvectors. Two-port parameters.

 

[19-22] Vectors. Sum, scalar product, dot product, cross product. Vector differential operators: grad, div, curl. Applications and interpretation.

 

[23-24] The wave equation. Derivation and d'Alembert solution.

 

[25-30] Laplace transforms. Complex frequency. Partial fractions and the solution of differential equations by Laplace transform. Mechanical examples as well as electronic ones.

 

[31-38] Z-transforms. Definition, propertires, inversion. Applications and worked examples.

 

[39-40] Cross- and Autocorrelation.  Definition, examples, applications.

 

[41-42] Revision. Topics covered to be selected by the students.
Methods of Teaching/Learning
Lectures, weekly problem classes and private study (tutorial questions are provided at the end of each chapter of the notes). Lecture notes and other additional material will be provided via the web.
Selected Texts/Journals
Kreyszig, Advanced Engineering Maths (7th Ed) 0-471-59989-1 Wiley
Boas, M.L. Mathematical Methods in the Physical Sciences (2nd edit.) 0-471-09960-0 Wiley
Stroud, K.A. Further Engineering Mathematics 0-333-65741-1 Macmillan
Haykin, S. Communication Systems           0471178691  Wiley 
Last Updated

12 August 2010