Summary: Mathematics 113
Instructor: Professor R. Alperin, email@example.com
Office: Duncan 239, Telephone: 924-5066
Office hours: 1:45-2:30MW, 5:15-7:00MW, or by appointment
1) Differntial Geometry by M. Lipschutz, Schaum's Outline Series, McGraw-
2) Lectures on Classical Differential Geometry by D. J. Struik, Dover,
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