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## ECM1205 - Advanced Mathematics for Engineers (2019)

MODULE TITLE | Advanced Mathematics for Engineers | CREDIT VALUE | 15 |
---|---|---|---|

MODULE CODE | ECM1205 | MODULE CONVENER | Dr Ki Young Koo (Coordinator) |

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

DURATION: WEEKS | 4 | 4 | 0 |

Number of Students Taking Module (anticipated) | 25 |
---|

Learning to think and express yourself in mathematical terms is an essential part of your becoming an engineer who is able to describe engineering processes and systems to solve problems. This module will help you enhance your learning from ECM1201 Foundation Mathematics for Engineers and further develop the mathematical skills necessary to complete your engineering degree programme.

In particular, there will be a strong emphasis on the direct application of mathematics to engineering problems.

This module will cover topics which are fundamental to engineers in their professional careers, focussing on the direct application of mathematics to engineering problems. You will continue to develop your 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 deepen your understanding of engineering principles and improve your ability to apply them to analyse more complex engineering processes. It will 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 further develop your understanding and ability to apply a systems approach to engineering problems.

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

**Module Specific Skills and Knowledge: SM1p, SM2p, EA2p, EA3p, EA4p**

1 solve problems using integral calulus

2 perform arithmetic operations on matrices, including finding eigenvalues and eigenvectors

3 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, SM2p, EA2p, EA3p, EA4p**

4 apply techniques of partial differentiation to solve simple problems

5 understand the key concepts of solving mathematical problems using numerical methods on a computer. For example numerical root finders, optimisation or runga-kutta methods

**Personal and Key Transferable / Employment Skills and Knowledge: G1p, G3p**

7 extract the essential mathematics from real-world problems and to begin to be able to model such problems in familiar mathematical language

8 communicate mathematical concepts and processes coherently, both orally and in writing, using correct notation

- Integration;
- matrices;
- first and second order ordinary differential equations;
- numerical methods
- Python (relating to the above)

Scheduled Learning & Teaching Activities | 32.00 | Guided Independent Study | 118.00 | Placement / Study Abroad | 0.00 |
---|

Category | Hours of study time | Description |

Scheduled learning and teaching activities | 2/18 | Lectures (Tutorials) |

Scheduled learning and teaching activities | 12 | Tutorials |

Guided independent study | 118 | Lecture and assessment preparation, private study |

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

Tutorial Worksheets | All | Informal feedback provided in tutorials | |

Coursework | 40 | Written Exams | 60 | Practical Exams |
---|

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

Written exam – closed book | 60 | 2 hours | All | Annotated Scripts |

Take Home Question #1 | 10 | 8 hours | All | Oral Feedback in class + solutions |

Take Home Question #2 | 15 | 8 hours | All | Oral Feedback in class + solutions |

Take Home Question #3 | 15 | 8 hours | All | Oral Feedback in class + solutions |

Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-assessment |
---|---|---|---|

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:**

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

**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, D.J. | Advanced Engineering Mathematics | 5th | Palgrave Macmillan | 2011 | 978-0-230-27548-5 | [Library] |

CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
---|---|---|---|

PRE-REQUISITE MODULES | ECM1200 |
---|---|

CO-REQUISITE MODULES |

NQF LEVEL (FHEQ) | 4 | AVAILABLE AS DISTANCE LEARNING | No |
---|---|---|---|

ORIGIN DATE | Monday 06 March 2017 | LAST REVISION DATE | Wednesday 08 January 2020 |

KEY WORDS SEARCH | Integration; differential equations; partial differentiation; matrices; vector calculus |
---|