Engineering

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ECM1110 - Engineering Mathematics (2015)

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MODULE TITLEEngineering Mathematics CREDIT VALUE30
MODULE CODEECM1110 MODULE CONVENERMs Aileen MacGregor (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 11 weeks 11 weeks 0
Number of Students Taking Module (anticipated) 175
DESCRIPTION - summary of the module content

This module gives you the chance to go deeper into mathematics than you have likely gone before, and covers topics that are fundamental to engineers in their professional careers.

In particular, there will be a strong emphasis on the direct application of mathematics to engineering problems. Furthermore, you will have the opportunity to use a mathematical software package such as Mathcad, which will improve your ability to apply quantative methods and computer software, in order to solve engineering problems.

AIMS - intentions of the module

This module will improve your mathematical skills to the extent necessary for you to complete a BEng or MEng engineering degree programme, and your further developed skills should come in useful in your future career. You will develop a knowledge and understanding of mathematical principles necessary to underpin your education in a number of engineering disciplines, and to enable you to apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems.

 

Furthermore, this module will improve your understanding of engineering principles and the ability to apply them to analyse key engineering processes. It will also enhance your ability to identify, classify and describe the performance of systems and components through the use of analytical methods and modelling techniques. Finally, it will increase your understanding and ability to apply a systems approach to engineering problems.

 

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, E1, E2, E3 and E4. 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 work with functions in one, two or three variables, exhibiting skills in differentiation, integration, partial differentiation and multiple integration;
2 demonstrate an understanding of the concepts of complex number and analytic functions;
3 use vector algebra to analyse problems involving lines and planes, apply the scalar (dot) product and vector (cross) product to vectors;
4 perform basic arithmetic operations on matrices, including eigenvalues and eigenvectors of a matrix.
5 solve first and second order ordinary differential equations and apply them to simple problems in mechanics, electrical circuit theory and evolution problems (e.g. radioactive half life);
Discipline Specific Skills and Knowledge:
6 use mathematical software, (Mathcad) to solve a mathematical problem.
Personal and Key Transferable/ Employment Skills and  Knowledge:
7 apply mathematical principles to systematically analyse problems;
8 extract the essential mathematics from real-world problems and to begin to be able to model such problems in familiar mathematical language;
9 communicate mathematical concepts and processes coherently, both orally and in writing, using correct notation.

SYLLABUS PLAN - summary of the structure and academic content of the module

 - algebra and functions;

- differential calculus and applications;

- vector algebra;

- complex numbers;

- integration;

- first and second order ordinary differential equations;

- matrices;

- partial differentiation;

- further integral calculus;

- complex variables.

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 103.00 Guided Independent Study 197.00 Placement / Study Abroad 0.00
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
Category Hours of study time Description
Scheduled learning and teaching activities 66 Lectures - four per week in term one, two per week in term two
Scheduled learning and teaching activities 22 Tutorials
Scheduled learning and teaching activities 15 Mathcad exercises
Guided independent study 197 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
Tutorial Worksheets   1-5, 7-9 Informal feedback provided in tutorials

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 50 Written Exams 50 Practical Exams 0
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Written exam – closed book May 50 3 hours 1-5, 7,8,9 Annotated scripts
Written exam - closed book January 30 2 hours 1-5,7,8,9 Annotated scripts
Coursework – Mathcad exercises/assignments 20 12 x 2 hours
2 x 6 hours
1-9 Annotated scripts with oral feedback
         
         

 

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 Stroud, K.A Engineering Mathematics 7th Macmillan 2013 978-1-137-03120-4 [Library]
Set Stroud K.A. & Booth Dexter J. Advanced Engineering Mathematics 5th Palgrave Macmillan 2011 978-0-230-27548-5 [Library]
Set James, G Modern Engineering Mathematics 4th with MyMathLab Addison Wesley 2010 027373413x [Library]
Set James, G Advanced Modern Engineering Mathematics 4th Addison Wesley 2011 000-0-201-59621-0 [Library]
Set Croft Daivison et al Engineering Mathematics 4th Pearson 2013 978-0-273-71977-9 [Library]
CREDIT VALUE 30 ECTS VALUE 15
PRE-REQUISITE MODULES None
CO-REQUISITE MODULES None
NQF LEVEL (FHEQ) 1 (NQF level 4) AVAILABLE AS DISTANCE LEARNING No
ORIGIN DATE Friday 09 January 2015 LAST REVISION DATE Friday 09 January 2015
KEY WORDS SEARCH Differentiation; integration; Mathcad; vectors