Mathematical Modelling of Engineering Systems - 2019 entry

This module will introduce you to mathematical models of engineering systems. You will learn standard methods of systems analysis using transform methods (algorithms).

The aim of this course is to teach you to analyse quantitatively engineering problems, by making you aware of the various approaches to problem-solving, and of how to assess the relative merits of those approaches. The module will also help you improve your awareness of the interrelationship between design and analysis, between a real system and a model.

You must demonstrate some awareness and skill in methods of evaluation such as diagrams, flowcharts and differential equations, and be able to do so in clear, written form.

Prerequisite module: ECM1102, ECM1106, ECM1107, ECM1108 or equivalent

 

To introduce students to mathematical models of engineering systems. To expose them to standard methods of systems analysis using transform methods in both continuous and discrete variable form.

This is a constituent module of one or more degree programmes which are accredited by a professional engineering institution under licence from the Engineering Council. The learning outcomes for this module have been mapped to the output standards required for an accredited programme, as listed in the current version of the Engineering Council’s ‘Accreditation of Higher Education Programmes’ document (AHEP-V3).

This module contributes to learning outcomes: SM1p-SM3p, SM1m-SM5m, EA1p-EA4p, EA1m-EA1m, EA6m, D4p, D4m, D7m, G2p, G2m,G3p, G3m

A full list of the referenced outcomes is provided online: http://intranet.exeter.ac.uk/emps/subjects/engineering/accreditation/

The AHEP document can be viewed in full on the Engineering Council’s website, at http://www.engc.org.uk/

On successful completion of this module, you should be able to:

Module Specific Skills and Knowledge:

1 demonstrate awareness and skills in the following techniques: time domain evaluation of system output in terms of input (diff., equ., and impulse response), Laplace transforms, use of LT’s to obtain time domain solutions;
2 demonstrate, through analytical and simulation work, knowledge and understanding of the power and limitations of feedback systems; techniques;
3 derive simple performance specifications for systems and analyse simple examples using analytic tools;
4 use analytic tools to design and analyse high linear order systems.

Discipline Specific Skills and Knowledge:

5 demonstrate skill in quantitatively analysing engineering problems;
6 show an awareness of the interrelationship between design and analysis;
7 understand the relationship between a real system and a model.

Personal and Key Transferable/ Employment Skills and  Knowledge:

8 analyse problems clearly and formally;
9 demonstrate an awareness of the many approaches to the same problem and to be able to assess their relative merits;
10 express your problem solving intentions clearly and systematically in written form.
 

- generic modelling of engineering systems as networks;

- electromechanical, thermal and fluid systems examples;

- SISO and MIMO systems;

- the Laplace transform, partial fractions and the use of tables;

- the concepts of transfer function, stability, gain and phase shift;

- continuous variable frequency response; 

- discretisation of differential equations, finite-difference equations, Z transforms;

- discrete frequency response;

- solving linear ordinary differential equations;

- convolution, poles and zeros;

- bode plots with first and second order systems examples;

- block diagram algebra.

If a module is normally assessed entirely by coursework, all referred/deferred assessments will normally be by assignment.


If a module is normally assessed by examination or examination plus coursework, referred and deferred assessment will normally be by examination. For referrals, only the examination will count, a mark of 40% being awarded if the examination is passed. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark.

Basic reading:

ELE: http://vle.exeter.ac.uk

Web based and Electronic Resources:

Other Resources:

Reading list for this module: