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

1. B. O'Neill, Elementary Differential Geometry, Second Edition 2006, Elsevier,

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