Department of Mathematics  

Duke University




    

Surface

Differential Geometry
(Math 421)



Instructor: Paul Aspinwall

Credits: 3.0

Time: Wed and Fri 1:45 - 3:00pm

Location: Online.

Homework

  • will be given weekly.

Prerequisites

  • (Math 221 or Math 218) and (Math 212 or Math 222)) or consent of instructor.

Evaluations

  • Homework. There will be some longer homework assigmments occasionally which will give credit towards the final grade
  • Take-home Final: TBA

Office Hours

  • Mondays 10:00-11:00
  • Thursday 2:00-3:00

Synopsis

  • Tangent Vectors
  • Differential Forms
  • Curves
  • Connections
  • Dot products
  • Surfaces
  • Gaussian Curvature
  • The Gauss-Bonnet Formula
  • Riemannian Geometry

Textbooks

The course will be based on the text:
  1. B. O'Neill, Elementary Differential Geometry, Second Edition 2006, Elsevier,

Last modified:


C.G.T.P.
Duke University, Box 90318
Durham, NC 27708-0318