This unit is an introduction to Differential Geometry, one of the core pillars of modern mathematics. Using ideas from calculus of several variables, we develop the mathematical theory of geometrical objects such as curves, surfaces and their higher-dimensional analogues. Differential geometry also plays an important part in both classical and modern theoretical physics. The unit aims to develop geometrical ideas such as curvature in the context of curves and surfaces in space, leading to the famous Gauss-Bonnet formula relating the curvature and topology of a surface.
3x1-hr lectures; 1x1-hr tutorial/wk
Quiz (10%); 2 x assignments (30%); final exam (60%)
(MATH2921 and MATH2922) or MATH2961
A mark of 65 or greater in 12 credit points of MATH2XXX units of studyProhibitions