UNSW Handbook Course - Topology and Differential Geometry

Topology and Differential Geometry - MATH3531


	Faculty: Faculty of Science
	School: School of Mathematics
	Campus: Kensington Campus
	Career: Undergraduate
	Units of Credit: 6
	EFTSL: 0.125 (more info)
	Contact Hours per Week: 4
	Enrolment Requirements:
	Prerequisite: 12 units of credit in Level 2 Math courses including MATH2011 or MATH2111or MATH2510 or MATH2610; Excluded: MATH3760.
	Session Offered: See Class Timetable
	Fee Band: 2 (more info)

Description

Curves in the plane and what it means to be curved rather than straight. Curves in space and how they curve and twist. Surfaces and how they bend both internally and externally. Soap bubbles and minimal surfaces. Why a map of the earth must be distorted: Gauss' "Remarkable Theorem" and the Gauss-Bonnet Theorem. Euler characteristic and the platonic solids. Mobius bands and other surfaces. Classification and elementary combinatorial topology of surfaces. Topological spaces, fixed point theorems, Hairy Ball, Pancake and Ham Sandwich Theorems.

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