Differential Geometry - MAT00006H

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  • Department: Mathematics
  • Module co-ordinator: Dr. Ian McIntosh
  • Credit value: 10 credits
  • Credit level: H
  • Academic year of delivery: 2016-17

Related modules

Pre-requisite modules

Co-requisite modules

  • None

Prohibited combinations

  • None

Module will run

Occurrence Teaching cycle
A Autumn Term 2016-17

Module aims

The aim of the module is to describe how techniques from advanced calculus and linear algebra may be used to give meaning to the concept of "shape" for curves and surfaces in space.

Module learning outcomes

At the end of the module you should be able to:

  • Understand the curvature and torsion of a space curve, how to compute them, and how they suffice to determine the shape of the curve.
  • Understand the definition of a smooth surface, and the means by which many examples may be constructed.
  • Understand the various different types of curvature associated to a surface, and how to compute them.
  • Understand the first and second fundamental forms of a surface, how to compute them, and how they suffice to determine the local shape of the surface.
  • Appreciate the distinction between intrinsic and extrinsic aspects of surface geometry.

Assessment

Task Length % of module mark
University - closed examination
Differential Geometry
2 hours 100

Special assessment rules

None

Reassessment

Task Length % of module mark
University - closed examination
Differential Geometry
2 hours 100

Module feedback

Information currently unavailable

Indicative reading

C Baer, Elementary Differential Geometry, Cambridge University Press.

J McCleary, Geometry from a Differentiable Viewpoint, Cambridge University Press (S 6.7 MCC).



The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.