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Unit of study_

Differential Geometry (Advanced) - MATH3968

Year - 2018

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.

Classes
Three 1 hour lectures and one 1 hour tutorial per week.

Assessment
One 2 hour exam and 2 assignments (100%)

Assumed knowledge
At least 6 credit points of Intermediate Advanced Mathematics or Senior Advanced Mathematics units

Pre-requisites

A mark of 65 or above in MATH2961 or MATH2921

Prohibitions

MATH3903

Details

Faculty: Science

Semester 2

30 Jul 2018

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Aug 2018
Unit of study level: Senior
Credit points: 6.0
EFTSL: 0.125
Available for study abroad and exchange: Yes
Faculty/department permission required? No
Location
Camperdown
Courses that offer this unit

Non-award/non-degree study 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. Cross-institutional study If you are from another Australian tertiary institution you may be permitted to undertake cross-institutional study in one or more units of study at the University of Sydney.

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