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MATH 465

Differential Geometry

Mathematics College of Physical and Mathematical Sciences

Course Description

Geometry of smooth curves and surfaces. Topics include the first and second fundamental forms, the Gauss map, orientability of surfaces, Gaussian and mean curvature, geodesics, minimal surfaces and the Gauss-Bonnet Theorem.

When Taught

Fall Odd Years

Grade Rule

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

Min

3

Fixed

3

Fixed

3

Fixed

0

Other Prerequisites

Math 341 or equivalent.

Recommended

Math 342 or equivalent

Title

Geometry of smooth curves and surfaces.

Learning Outcome

The main purpose of this course is to provide students with an understanding of the geometry of curves and surfaces, with the focus being on the theoretical and logical foundations of differential geometry. For more detailed information visit the Math 465 Wiki page.