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## ECM1201 - Mathematics for Engineers (2019)

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

MODULE CODE | ECM1201 | MODULE CONVENER | Dr Evangelos Papatheou (Coordinator) |

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

DURATION: WEEKS | 2 | 0 | 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 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 industrial engineering problems. Furthermore, you will learn to use programming (Python) as a means to model mathematical problems and implement computational solutions.

This module will cover topics which are fundamental to engineers in their professional careers, focussing on the direct application of mathematics to industrial engineering problems. 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.

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

**Module Specific Skills and Knowledge: SM1p, SM2p**

1 demonstrate skills in algebraic manipulation

2 recognise trigonometric, exponential, logarithmic and hyperbolic functions, and solve equations involving these functions

3 use differentiation to solve maximum and minimum problems

4 demonstrate an understanding of the concepts of complex numbers

5 use vector algebra to analyse problems involving lines and planes, apply the scalar (dot) product and vector (cross) product to vectors

**Discipline Specific Skills and Knowledge: EA3p**

7 use computer programming (Python) to solve a mathematical problem.

**Personal and Key Transferable / Employment Skills and Knowledge: EA2p, EA3p, EA4p, G1p, G3p**

8 apply mathematical principles to systematically analyse problems

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

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

- algebra and functions
- vector algebra
- differential calculus and applications
- complex numbers
- statistics and regression
- introduction to programming in Python (in all the above areas)

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 | Lectures |

Scheduled learning and teaching activities | 18 | Tutorials |

Scheduled learning and teaching activities | 12 | Coding exercises |

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 | 1-6, 8-10 | Informal feedback provided in tutorials | |

Coursework | 40 | Written Exams | 60 | Practical Exams | 0 |
---|

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

Written exam - closed book | 60 | 2 hours | 1-6,8-10 | Annotated Scripts |

Coursework 1 - Take Home Questions | 10 | 1 x 6 hours | 1-6,8-10 | Annotated Scripts + Oral |

Coursework 2 - Python Code Academy | 10 | 1 x 6 hours | 1-6,8-10 | Annotated Scripts + Oral |

Coursework 3 - Take Home Coursework | 20 | 1 x 12 hours | 7-10 | Oral + written |

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

All above | Written Exam (100%) | 1-3,5-7 | 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] |

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

PRE-REQUISITE MODULES | None |
---|---|

CO-REQUISITE MODULES | None |

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

ORIGIN DATE | Monday 06 March 2017 | LAST REVISION DATE | Thursday 17 October 2019 |

KEY WORDS SEARCH | Differentiation; trigonometry; Python; vectors; complex numbers; probability |
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