 
Summary: Mathematics 113
Fall 1999
Instructor: Professor R. Alperin, alperin@mathcs.sjsu.edu
Office: Duncan 239, Telephone: 9245066
Office hours: 1:452:30MW, 5:157:00MW, or by appointment
Texts:
1) Differntial Geometry by M. Lipschutz, Schaum's Outline Series, McGraw
Hill,
2) Lectures on Classical Differential Geometry by D. J. Struik, Dover,
Second Edition
Course Description: Differential Geometry
This course will develop the techniques of differential geometry used to
study curves and surfaces. For curves using the ideas of parameterization,
arclength, curvature and torsion we can precisely determine curves up to rigid
motions of space. For surfaces using the ideas of the fundamental metric
form, curvature, geodesic and normal curvature, and geodesic parallelism we
can determine surfaces up to a rigid motion.
We will also develop facility with the software package MAPLE as an aid
in displaying and interpreting these geometric ideas.
Each student should keep a homework notebook with solutions to assigned
