Middlebury
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MATH0335

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.
Subject:
Mathematics
Department:
Mathematics
Division:
Natural Sciences
Requirements Fulfilled:
DED
Equivalent Courses:

Sections

Fall 2014

MATH0335A-F14 Lecture (Proctor)

Spring 2013

MATH0335A-S13 Lecture (Proctor)

Spring 2011

MATH0335A-S11 Lecture (Proctor)

Fall 2007

MATH0335A-F07 Lecture (Proctor)

Spring 2006

MATH0335A-S06 Lecture (Proctor)