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Topology and Differential Geometry - MATH3531
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Faculty: Faculty of Science
 
 
School:  School of Mathematics and Statistics
 
 
Course Outline: http://www.maths.unsw.edu.au/
 
 
Campus: Kensington Campus
 
 
Career: Undergraduate
 
 
Units of Credit: 6
 
 
EFTSL: 0.12500 (more info)
 
 
Indicative 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: MATH3700, MATH3701, MATH3760
 
 
Fee Band: 2 (more info)
 
 
Further Information: See Class Timetable
 
 

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.

Note: Offered in even numbered years only.

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© The University of New South Wales (CRICOS Provider No.: 00098G), 2004-2011. The information contained in this Handbook is indicative only. While every effort is made to keep this information up-to-date, the University reserves the right to discontinue or vary arrangements, programs and courses at any time without notice and at its discretion. While the University will try to avoid or minimise any inconvenience, changes may also be made to programs, courses and staff after enrolment. The University may also set limits on the number of students in a course.