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Differential Geometry (Advanced)

MATH3968

This unit is an introduction to Differential Geometry, using ideas from calculus of several variables to 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 initial aim is 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. A second aim is to present the calculus of differential forms as the natural setting for the key ideas of vector calculus, along with some applications.

Unit of study details

Unit of study level: Senior

Credit points: 6

Commencing semesters: 2

Further unit of study information

Unit of study handbook: MATH3968

Costs and scholarships information: Costs and Scholarships

Final dates to withdraw from units of study: Census Dates

Available for study abroad and exchange: Yes

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