MATH 4080 - 001
FALL 1998

Dr. David C. Royster
droyster@uncc.edu


 
 

Initial Information

Most of the information below is in PDF format. You will need the Adobe Acrobat Reader to view them.

 Semester Syllabus

Homework Assignment 1

Homework Assignment 2  

Homework Assignment 3

Homework Assignment 4

Homework Assignment 5

Homework Assignment 6

Maple Worksheet for computing the Frenet frame for a curve in 3-space

Introduction to this class and Differential Geometry (PDF format)

Arclength and Curvature of Plane Curves (PDF format)

The Frenet Frame (PDF format)

The Frenet apparatus for arbitrary curves (PDF format)

The Implications of Curvature and Torsion (PDF format)

The Implicit Function Theorem (PDF format)

Surfaces:An Introduction (PDF format)

Tangent Plane (PDF format)

The Gauss Map (PDF format)

Normal Curvature (PDF format)

Other Measures of Curvature (PDF format)

Calculating Curvature (PDF format)

Surfaces of Revolution(PDF format)

A Formula for Gaussian Curvature(PDF Format)

Geodesics and their Definition(PDF Format)

Geodesic Equations(PDF Format)

Noneuclidean Geometry Examples(PDF Format)
 
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 Last updated 08/21/98 by

David Royster droyster@uncc.edu