18.950 Differential Geometry

Spring 2005

The Gauss-Bonnet theorem.
The Gauss-Bonnet theorem for compact orientable surfaces. (Image by Dr. Neshan Wickramasekera.)

Course Highlights

This course features a set of readings, as well as a full set of assignments.

Course Description

This course is an introduction to differential geometry of curves and surfaces in three dimensional Euclidean space. First and second fundamental forms, Gaussian and mean curvature, parallel transport, geodesics, Gauss-Bonnet theorem, complete surfaces, minimal surfaces and Bernstein's theorem are among the main topics studied.
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Staff

Instructor:
Dr. Neshan Wickramasekera

Course Meeting Times

Lectures:
Three sessions / week
1 hour / session

Level

Undergraduate