Middlebury Institute of International Studies at Monterey

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MATH0335A-F14

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):
92230
Subject Code:
MATH
Course Number:
0335
Section Identifier:
A

Course

MATH 0335

All Sections in Fall 2014

Fall 2014

MATH0335A-F14 Lecture (Proctor)