2000/10/06 by Jack L. Uretsky, Uretsky, Jack L.
Mathematics · #00-01 #97-01 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:00-01 #msc:97-01
paper · pdf · doi:10.48550/arxiv.math/0010065
LaTeX; 19 pp, 6 figs
arxiv created 2000/10/06 · arxiv updated 2009/11/30
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.