Differential Geometry (Math 421)
Instructor:
Paul Aspinwall
Credits: 3.0
Time: Wed and Fri 1:45  3:00pm
Location: Online.
Homework
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
 Takehome Final: TBA
Office Hours
 Mondays 10:0011:00
 Thursday 2:003:00
Synopsis
 Tangent Vectors
 Differential Forms
 Curves
 Connections
 Dot products
 Surfaces
 Gaussian Curvature
 The GaussBonnet Formula
 Riemannian Geometry
Textbooks
The course will be based on the text:
 B. O'Neill, Elementary Differential Geometry,
Second Edition 2006, Elsevier,
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