The main aim of this module is to give an introduction to the basics of differential geometry, keeping in mind the recent applications in mathematical physics and the analysis of pattern recognition. Outline syllabus includes: Curves and parameterization; Curvature of curves; Surfaces in Euclidean space; The first fundamental form; Curvature of surfaces; Geodesics.
Total contact hours: 42
Private study hours: 108
Total study hours: 150
Method of assessment
80% Examination, 20% Coursework
A. Pressley, "Elementary Differential Geometry'’, Springer, London, 2010.
See the library reading list for this module (Canterbury)
The intended subject specific learning outcomes.
On successfully completing the module students will be able to:
1 demonstrate knowledge and critical understanding of the well-established principles within curves and surfaces;
2 demonstrate the capability to use a range of established techniques and a reasonable level of skill in calculation and manipulation of the material to solve problems in the following areas: curves and surfaces in 2d and 3d, curvatures and geodesics;
3 apply the concepts and principles in basic differential geometry in well-defined contexts beyond those in which they were first studied, showing the ability to evaluate critically the appropriateness of different tools and techniques.
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