Differential Geometry (Advanced) (MATH3968)
UNIT OF STUDY
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.
Further unit of study information
Three 1 hour lectures and one 1 hour tutorial per week.
One 2 hour exam and 2 assignments (100%)
Faculty/department permission required?
Unit of study rules
Prerequisites and assumed knowledge
Credit average or greater in 12 credit points of Intermediate Mathematics, including MATH2961, Credit average or greater in 12 credit points of Intermediate Mathematics, including MATH2961, Credit average or greater in 12 credit points of Intermediate Mathematics, including MATH2961
At least 6 credit points of Intermediate Advanced Mathematics or Senior Advanced Mathematics units
MATH3903, MATH3903, MATH3903
Study this unit outside a degree
If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student.
If you are from another Australian tertiary institution you may be permitted to underake cross-institutional study in one or more units of study at the University of Sydney.