Aims and Fit of Module

•	To introduce the ideas and methods of the classical differential geometry of curves and surfaces in three dimensional Euclidean space.

•	To translate intuitive geometrical ideas into mathematical concepts that allow for quantitative study.

•	To illustrate geometrical concepts through examples.


This module builds on concepts introduced in vector analysis, and has a wide range of applications in science and technology. It provides a foundation for further study of topics such as Riemannian geometry, continuum mechanics and general relativity.

Learning outcomes

A	Apply techniques from calculus and linear algebra with confidence to the study of geometrical objects

B	Define and interpret the meaning of core concepts in the differential geometry of curves and surfaces in 3-dimensional space

C	Calculate various quantities (e.g. length, curvature, torsion; fundamental forms, area) for given examples and interpret their geometrical significance

D	Discriminate between intrinsic and extrinsic geometrical properties

Method of teaching and learning

This module will be delivered through a combination of formal lectures and tutorials.