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## ECM1110 - Engineering Mathematics (2019)

MODULE TITLE | Engineering Mathematics | CREDIT VALUE | 30 |
---|---|---|---|

MODULE CODE | ECM1110 | MODULE CONVENER | Ms Aileen MacGregor (Coordinator) |

DURATION: TERM | 1 | 2 | 3 |
---|---|---|---|

DURATION: WEEKS | 11 weeks | 11 weeks | 0 |

Number of Students Taking Module (anticipated) | 195 |
---|

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 Matlab, which will improve your ability to apply quantitative methods and computer software, in order to solve engineering problems.

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.

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, SM1m, SM2p, SM2m, G1p, G1m, 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: SM1p, SM1m, SM2p, SM2m**

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: SM1p, SM1m, EA3p, EA3m**

6 use mathematical software, (Matlab) to solve a mathematical problem.

**Personal and Key Transferable/ Employment Skills and Knowledge: G1p, G1m, G2p, G2m, G3p, G3m**

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.

- algebra and functions;

- differential calculus and applications;

- vector algebra;

- complex numbers;

- integration;

- first and second order ordinary differential equations;

- matrices;

- partial differentiation;

- vector calculus

- multivariable integral calculus;

Scheduled Learning & Teaching Activities | 100.00 | Guided Independent Study | 200.00 | Placement / Study Abroad | 0.00 |
---|

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 | 12 | Matlab exercises |

Guided independent study | 200 | Lecture and assessment preparation, private study |

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 |

Coursework | 20 | Written Exams | 80 | Practical Exams | 0 |
---|

Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
---|---|---|---|---|

Written exam (closed book) | 50 | 2 hours - Summer Exam Period | 1-5, 7,8,9 | Annotated scripts |

Written exam (closed book) | 25 | 1.5 hours - January Exam | 1-5,7,8,9 | Annotated scripts |

Coursework – On-line assessments and written coursework | 25 |
12 x 2 hours 2 x 6 hours |
1-9 | Annotated scripts with oral feedback |

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 |

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.

information that you are expected to consult. Further guidance will be provided by the Module Convener

**Basic reading:**

**Web based and Electronic Resources:**

**Other Resources:**

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) | 4 | AVAILABLE AS DISTANCE LEARNING | No |
---|---|---|---|

ORIGIN DATE | Tuesday 10 July 2018 | LAST REVISION DATE | Tuesday 31 July 2018 |

KEY WORDS SEARCH | Differentiation; integration; Matlab; vectors |
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