The Differential Geometry of Curves and Surfaces

Math 32a

Course Prospectus
The Breather Pseudospherical Surface

Math 32a will cover the classical theory of curves in the Euclidean plane and of curves and surfaces in a Euclidean space of three dimensions.

However our approach will definitely not be the classical one. Although we will cover the same theoretical ground as found in standard courses and textbooks, in addition to stating and proving theorems in the usual manner, we will also develop an algorithmic approach to the theory.

In fact the so-called "Main Theorems" of the subject are in essence completely constructive prescriptions for re-creating curves and surfaces from certaun "invariant" curvature data, and the students will be asked to implement these prescriptions as computer algorithms.

Richard Palais  


Breather Surface

When, where, who---and other administrative details.

What you should know before taking the course.

What if you have never programmed before?

Getting Started wih Programming.


Homework, projects, and assignments.

Course Lecture Notes.

Back Email

Introduction to mathematics to be covered in the course.

Other Resources---Lecture notes, textbook, tutorials, etc.