# FUNCTIONS OF A COMPLEX VARIABLE - 2017/8

Module code: MAT3034

Module provider

Mathematics

Module Leader

PRINSLOO AH Dr (Maths)

Number of Credits

15

ECT Credits

7.5

Framework

FHEQ Level 6

JACs code

G100

Module cap (Maximum number of students)

N/A

Module Availability

Semester 1

Overall student workload

Assessment pattern

Assessment type | Unit of assessment | Weighting |
---|---|---|

School-timetabled exam/test | IN-SEMESTER TEST | 20 |

Examination | EXAM | 80 |

Alternative Assessment

N/A

Prerequisites / Co-requisites

Learning outcomes

Attributes Developed | |
---|---|

Understand what is meant by the continuity and differentiability of complex functions of a complex variable | KCT |

Quote, derive and apply the Cauchy-Riemann equations | KCT |

Compute contour integrals of continuous complex functions | KCT |

Quote and apply Cauchy's theorem | KCT |

Quote, apply and derive Cauchy's integral formulae | KCT |

Quote, derive and apply Liouville's theorem | KCT |

Analyse the convergence properties of complex power series | KCT |

Quote, derive and apply Taylor's theorem and Laurent's theorem, and compute Taylor and Laurent series expansions of complex functions | KCT |

Identify and classify the singularities of complex functions, and compute the residues of simple and higher order poles | KCT |

Quote, derive and apply Cauchy's residue theorem, and use the calculus of residues to compute real integrals | KCT |

Attributes Developed

**C** - Cognitive/analytical

**K** - Subject knowledge

**T** - Transferable skills

**P** - Professional/Practical skills

Module content

Methods of Teaching / Learning

Assessment Strategy

Reading list

Reading list for FUNCTIONS OF A COMPLEX VARIABLE : http://aspire.surrey.ac.uk/modules/mat3034

Programmes this module appears in

Programme | Semester | Classification | Qualifying conditions |
---|---|---|---|

Economics and Mathematics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Financial Mathematics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics with Statistics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics MMath | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics and Physics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics and Physics MMath/MPhys | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2017/8 academic year.