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Mathematical Modelling of Engineering Systems (ECM2111)

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Module status - Active
Module description status - Inactive
Credits - 15
College code - EMP
Academic year - 2014/5

Module staff

Professor Michael Belmont (M.R.Belmont@exeter.ac.uk) - Convenor

Duration (weeks) - term 1

Duration (weeks) - term 2

Duration (weeks) - term 3

Number students taking module (anticipated)

158

Module description

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.

Pre-requisite modules: ECM1102, ECM1106, ECM1107 and ECM1108

Module aims

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 module covers Specific Learning Outcomes in Engineering, which apply to accredited programmes at Bachelors/MEng/Masters level. These contribute to the educational requirements for CEng registration (as defined under the UK Standard for Professional Engineering Competence – UK-SPEC).

This module correlates to references U2, U3, E1, E2 and E3. These references are indices of the specific learning outcomes expected of Bachelors/MEng/Masters candidates set out in UK-SPEC, codified with reference to systems used by professional accrediting institutions. A full list of the standards can be found on the Engineering Council's website, at http://www.engc.org.uk

ILO: Module-specific skills

1. demonstrate awareness and some skills in a range of mathematical modelling techniques
2. build linear first and second order lumped parameter models for mixed mechanical, electrical, thermal and fluid systems, derive differential equation descriptions of these, and be aware of the power of Laplace and Z transform methods.

ILO: Discipline-specific skills

3. demonstrate some skill in quantitatively analysing engineering problems
4. demonstrate an awareness of the interrelationship between design and analysis
5. demonstrate an understanding of the relationship between a real system and a model

ILO: Personal and key skills

6. demonstrate improved ability to analyse problems clearly and formally
7. demonstrate an awareness of the many approaches to the same problem and assess their relative merits
8. express your problem solving intentions clearly and systematically in written form

Syllabus plan

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.

Learning activities and teaching methods (given in hours of study time)

Scheduled Learning and Teaching Activities	Guided independent study	Placement / study abroad
81	69	0

Details of learning activities and teaching methods

Category	Hours of study time	Description
Scheduled learning and teaching activities	33	Lectures
Scheduled learning and teaching activities	48	Tutorials
Guided independent study	69	Lecture and assessment preparation; private study

Summative assessment (% of credit)

Coursework	Written exams	Practical exams
15	85	0

Details of summative assessment

Form of assessment	% of credit	Size of the assessment (eg length / duration)	ILOs assessed	Feedback method
Written exam closed book	85	2 hours	All	Via problem class and revision sessions
Coursework assessment using exam style questions	15	Two full examination papers to be completed over the Christmas vacation.	All	Post course feedback lecture session

Details of re-assessment (where required by referral or deferral)

Original form of assessment	Form of re-assessment	ILOs re-assessed	Timescale for re-assessment
All above	Written exam (100%)	All	August Ref/Def period

Re-assessment notes

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.

Indicative learning resources - Basic reading

,Control Systems Engineering: MATLAB tutorial update to version 6,Nise, Norman S,3rd or later,New York: John Wiley and Sons,2002,629.6312 NIS,0471250910,
,Modern Control Systems,Dorf, Richard C,11(5th or later),Reading, Mass; Wokingham: Addison-Wesley,2008,629.8312 DOR,978-0132451925,

Module has an active ELE page?

Yes

Indicative learning resources - Web based and electronic resources

http://vle.exeter.ac.uk

Module ECTS

7.5

Module pre-requisites

ECM1102, ECM1106, ECM1107 and ECM1108

Module co-requisites

None

NQF level (module)

Available as distance learning?

Origin date

19/11/2012

Last revision date

19/11/2012

Key words search

System modelling, Laplace transforms, S plane analysis, Sampled data systems, Z transforms