Middlebury

MATH 0335

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 & Statistics
Division:
Natural Sciences
Requirements Fulfilled:
DED
Equivalent Courses:

Sections in Fall 2023, School Abroad France (Paris)

Fall 2023

MATH0335A-F23 Lecture (Proctor)