Notes:

Integration by the Method of Substitution

Checking Indefinite Integrals by Numerical Quadrature

The Sum of the Alternating Harmonic Series

Derivation of the Taylor Series

Examples of the Gradient

The Brachistochrone: A Timely Consideration : Presented in July 2008 at the MAA MathFest in Madison

Roofing Applications in Trigonometry: Presented at the Fourteenth Annual WisMATYC Fall Conference at Fox Valley Technical College

The The Golden Triangle and Mathematical Black Magic of the Pentagram A Play in Four Acts : Presented at the 13'rd Annual 2006 Fall Meeting of WisMATYC at UW-Marshfield

The following is a web version of the article, "The Sphere Game", by A.P. Lehnen and G. E. Wessenberg. The article appeared in The AMATYC Review25, 25 (2003).

The Sphere Game: A Presentation Made at The Spring 2002 Meeting of the Wisconsin Section of the MAA.

"Polyspherical" Coordinates: Properties of Spherical Coordinates in N Dimensions.

The Sphere Game in N Dimensions: A Statement of Results.

The Use of Rational Function Factors in Approximating e: A Presentation Made at The Spring 2001Meeting of Wisconsin Section of the MAA  To see this file your computer needs Scientific Notebook or some other application which can read LaTex files. A free Scientific NoteBookViewer can be downloaded from http://www.mackichan.com/products/sciviewer.html .

An Introduction to Phase Space for Second Order ODE's