Digital Explorations Project

Riemann Sums

The Riemann Sums application allows you to investigate a number of scenarios in which the granularity of a given effort is evaluated in terms of its benefits and costs. When a carpet is trimmed to size, many or few cuts might be made to fit the carpet. At what point does the exactness of the fit become too costly? This application might be adapted to any number of scenarios, and in each such adaptation, how Riemann sums provide an inroad to understanding integration is further illustrated.