Topology and Differential Geometry - MATH3531

Faculty: Faculty of Science

School: School of Mathematics and Statistics

Course Outline:

Campus: Sydney

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: MATH3701

CSS Contribution Charge: 2 (more info)

Tuition Fee: See Tuition Fee Schedule

Further Information: See Class Timetable

View course information for previous years.


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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