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 course 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.
Three 1 hour lectures and one 1 hour tutorial per week.
One 2 hour exam and 2 assignments (100%)
At least 6 credit points of Intermediate Advanced Mathematics or Senior Advanced Mathematics units
A mark of 65 or above in MATH2961 or MATH2921Prohibitions