# MANIFOLDS AND TOPOLOGY - 2017/8

Module code: MAT3009

Module provider

Mathematics

Module Leader

GUTOWSKI JB 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 |
---|---|---|

Examination | EXAMINATION | 80 |

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

Alternative Assessment

N/A

Prerequisites / Co-requisites

Learning outcomes

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

Demonstrate understanding of topological spaces and smooth manifolds, properties of differential forms and the action of the exterior derivative and wedge product. | K |

Apply these techniques in calculating the homotopy operator for closed differential forms, solving certain classes of partial differential equations, and using Stokes's Theorem to determine whether certain closed differential forms are exact. | KCT |

Construct the Mayer-Vietoris sequence for large classes of manifolds and use the associated techniques to calculate the corresponding Betti numbers. Understand how this construction can be used to distinguish between topologically distinct spaces. | KC |

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 MANIFOLDS AND TOPOLOGY : http://aspire.surrey.ac.uk/modules/mat3009

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 |

Mathematics with Music 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 MSc | 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 |

Financial Mathematics 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.