Unit name | Engineering Mathematics 1 |
---|---|

Unit code | EMAT10100 |

Credit points | 20 |

Level of study | C/4 |

Teaching block(s) |
Teaching Block 4 (weeks 1-24) |

Unit director | Professor. Champneys |

Open unit status | Not open |

Pre-requisites |
A-level common core in mathematics, or equivalent |

Co-requisites |
None |

School/department | Department of Engineering Mathematics |

Faculty | Faculty of Engineering |

Description There are five main sections: Algebra (vectors, complex numbers, matrices as transformations, solving equations using matrices, eigenvalues and eigenvectors); Analysis (Sequences, series, functions, curve sketching, introduction to fourier series, introduction to numerical analysis); Calculus (differentiation and integration of functions of one variable, taylor series, numerical root finding, introduction to partial differentiation); Differential Equations (concepts, separation of variables, linear first and second-order equations, systems, numerical solutions); and Probability (basic concepts, events, random variables, empirical discrete and continuous distributions).

Aims The principal aim of this faculty-wide unit is to bring students entering the Faculty of Engineering up to a common standard in mathematics. The unit contains the well recognised elements of classical engineering mathematics which universally underpin the formation of the professional engineer.

- To gain familiarity with the basic mathematics needed for engineering degree programmes.
- To be able to manipulate and solve mathematical problems involving algebraic and analytic concepts such as matrices, vectors, complex numbers, differentials, integrals, and sequences.
- To be able to link such algebraic and analytical concepts to geometric concepts in the form of graphs.
- To gain a basic understanding of how data is represented and manipulated in computations deterministically and using the laws of probability applied to a single random variable.
- To understand the relevance of these concepts to representation and solution of engineering problems.

Lectures.

There are also additional but optional walk-in support classes (3 hours per week) in which postgraduate students offer ad-hoc support to students on an individual basis

1.5-hour Midsessional Exam: 20% (Learning Outcomes 1-3, 5) 3-hour Summer Exam: 80% (Learning Outcomes 1-5)

Hand in by week 17 feedback will be given in week 20

- Modern Engineering Mathematics (4th edition)
- Glyn James et. al. Pearson Aug 2007, Paperback, 1128 pages ISBN: 9780132391443 £34.99

Other textbooks which students may find useful are:

- Mathematical Techniques: an Introduction for the Engineering, Physical and Mathematical Sciences
- Jordan D W and Smith P. OUP, £163;15. ISBN: 0198562675

- Engineering Mathematics (5th edition)
- K A Stroud & D J Booth. Palgrave, £24.99

- Mathematics in Engineering and Science
- L R Mustoe and M D J Barry. John Wiley and Sons. 1998. Covers almost all of the syllabus and especially the background material.