Middlebury Institute of International Studies at Monterey

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MATH0335A-S11

Differential Geometry

Differential Geometry
This course will be an introduction to the concepts of differential geometry. For curves in space, we will discuss arclength parameterizations, Frenet formulas, curvature, and torsion. On surfaces, we will explore the Gauss map, the shape operator, and various types of curvature. We will apply our knowledge to understand geodesics, metrics, and isometries of general geometric spaces. If time permits, we will consider topics such as minimal surfaces, constant curvature spaces, and the Gauss-Bonnet theorem. (MATH 0200 and MATH 0223) 3 hr. lect./disc.
Course Reference Number (CRN):
21954
Subject Code:
MATH
Course Number:
0335
Section Identifier:
A

Course

MATH 0335

All Sections in Spring 2011

Spring 2011

MATH0335A-S11 Lecture (Proctor)