Engineering

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ECM2111 - Mathematical Modelling of Engineering Systems (2015)

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MODULE TITLEMathematical Modelling of Engineering Systems CREDIT VALUE15
MODULE CODEECM2111 MODULE CONVENERProf Mike Belmont (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 11 weeks 0 0
Number of Students Taking Module (anticipated) 172
DESCRIPTION - summary of the module content

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

 

AIMS - intentions of the module

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

 

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

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

 

Module Specific Skills and Knowledge:
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.
Discipline Specific Skills and Knowledge:
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.
Personal and Key Transferable/ Employment Skills and  Knowledge:
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 - summary of the structure and academic content of the module

- 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 AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 81.00 Guided Independent Study 69.00 Placement / Study Abroad 0.00
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

 

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
Form of Assessment Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Not applicable      
       
       
       
       

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 15 Written Exams 85 Practical Exams
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) 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 Time Scale for Re-reassessment
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.

RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener

ELE – http://vle.exeter.ac.uk


 

Reading list for this module:

Type Author Title Edition Publisher Year ISBN Search
Set Nise, Norman S Control Systems Engineering: MATLAB tutorial update to version 6 3rd or later New York: John Wiley and Sons 2002 0471250910 [Library]
Set Dorf, Richard C Modern Control Systems 11(5th or later) Reading, Mass; Wokingham: Addison-Wesley 2008 978-0132451925 [Library]
CREDIT VALUE 15 ECTS VALUE 7.5
PRE-REQUISITE MODULES ECM1102, ECM1106, ECM1107, ECM1108
CO-REQUISITE MODULES
NQF LEVEL (FHEQ) 2 (NQF level 5) AVAILABLE AS DISTANCE LEARNING No
ORIGIN DATE Friday 09 January 2015 LAST REVISION DATE Friday 09 January 2015
KEY WORDS SEARCH System modelling; Laplace transforms; S plane analysis; sampled data systems, Z transforms.