Unit name | Mathematics 1A20 |
---|---|

Unit code | MATH11004 |

Credit points | 20 |

Level of study | C/4 |

Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |

Unit director | Dr. Tourigny |

Open unit status | Not open |

Pre-requisites |
A-level Mathematics at grade C or above |

Co-requisites |
None |

School/department | School of Mathematics |

Faculty | Faculty of Science |

**Lecturers: **Yves Tourigny and Maria Banks

**Unit Aims**

To consolidate, develop and extend the skills in single variable calculus introduced at A level.

**Unit Description**

This unit is designed for students with a good grasp of A level mathematics who want a 20 credit-point unit on mathematical techniques.

The unit begins with some basic ideas revising and extending school-level calculus, and then goes on to a thorough treatment of the calculus from the point of view of scientific applications. The subject is developed as far as differential equations and Fourier series. The mathematics is treated with enough logical precision to enable correct calculations and correct deductions to be made.

After taking this unit, students should have a thorough grasp of one-variable calculus and complex numbers, including simple differential equations and Fourier Series.

Transferable Skills:

Mathematical techniques for application in the physical sciences.

The unit will be taught through a combination of

- synchronous online and, if subsequently possible, face-to-face lectures
- asynchronous online materials, including narrated presentations and worked examples
- guided asynchronous independent activities such as problem sheets and/or other exercises
- synchronous weekly group problem/example classes, workshops and/or tutorials
- synchronous weekly group tutorials
- synchronous weekly office hours

End-of-unit timed open-book examination (100%)

**Recommended**

- D.W. Jordan and P. Smith,
*Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences*, Oxford University Press, 2008

**Further**

- J.S. Berry, Allan Northcliffe, and Stephen Humble,
*Introductory Mathematics Through Science Applications*, Cambridge University Press, 1989 - Mary L. Boas,
*Mathematical Methods in the Physical Sciences*, Wiley and Sons, 2006 - John E. Gilbert and C.R. Jordan,
*Guide to Mathematical Methods,*Palgrave, 2002 - Alan Jeffrey,
*Mathematics for Engineers and Scientists,*Chapman &Hall, 2005 - Alan Jeffrey,
*Essentials of Engineering Mathematics,*Chapman &Hall, 2005

- James Stewart,
*Calculus: Early Transcendentals,*Brooks/Cole, 2012