Mathematics

Since I'm a mathematician by training, I guess it's only reasonable that a sizeable percentage of this site should be devoted to mathematics. The purpose of the present page is to point you to useful information in a relatively efficient manner. You can find information about the following topics.

• Prime Numbers
• Algebraic Geometry
• Educational Projects
• Computers and Mathematics
• Research in Pure Mathematics
• My Other Projects

Prime Numbers

I've been experimenting with the idea of using hyperlinks to enhance the presentation of mathematical proofs. The concrete result of that experiment is a collection of web pages describing some basic properties of prime numbers. I am always open to comments on the pages at this location, but I am particularly interested in hearing your reactions to these pages. As always, you can reach me at krc@odin.mdacc.tmc.edu.

Algebraic Geometry

Building on the hypertext idea, I have started putting together an extensive set of pages on Algebraic Geometry. This set of pages is a work in progress. It builds on an extensive set of lecture notes that I have put together over the years while teaching several different graduate courses.

Educational Projects

During my time with the Department of Mathematics at the University of Maryland in College Park, I was involved in two educational projects. The projects share a significant common aspect. Each project attempted to introduce technology---in the form of Maple or Mathematica---into the teaching of mathematics.

• The SCHOL Project is intended to enhance the teaching of Math 246, which is the sophomore course in ordinary differential equations.
• The CleaR Project is intended to enhance the teaching of Math 241, which is the sophomore course in multivariable calculus.

[Work] [Bioinformatics] [Mathematics] [Life]

[HOME] [PREVIOUS] [NEXT] [UP] [DOWN]