This is a presentation that follows on the colloquium delivered at The University of Montana on November 7, 2003. Prepare to use a very powerful calculator to investigate multi-digit arithmetic (up to 600 significant digits) to generate approximations of irrational numbers. We will look at several classical algorithms in the history of mathematics and use graphing to study their convergence properties. In each case, the level of mathematics will not exceed what is taught in the calculus.

Note: Some TI 92s and TI Voyage 200s will be available for you to use during the talk.