Introductory Calculus from the Viewpoint of Non-Standard Analysis - Derivative of Sine and Cosine
arXiv:math/0010065
Abstract
This article exemplifies a novel approach to the teaching of introductory differential calculus using the modern notion of ``infinitesimal'' as opposed to the traditional approach using the notion of ``limit''. I illustrate the power of the new approach with a discussion of the derivatives of the sine and cosine functions.
LaTeX; 19 pp, 6 figs