Faculty of Science
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
This unit will explore the metric structure of curves and surfaces, primarily in 3-dimensional Euclidean space. Concepts of curvature arise naturally, and the major focus will be on the inter-relationships of various definitions of curvature, such as the normal and binormal curvatures of a curve, and the extrinsic, principal and Gaussian curvatures of a surface. Links will be drawn with many other areas of mathematics, including complex analysis, linear algebra, differential equations, and general relativity.
On completion of this unit students will be able to:
Final examination (3 hours): 70%
Three hours of lectures and one 2-hour support class per week
See also Unit timetable information