Introductory Calculus from the Viewpoint of Non-Standard Analysis - Derivative of Sine and Cosine

Details Introductory Calculus from the Viewpoint of Non-Standard Analysis - Derivative of Sine and Cosine Introductory Calculus from the Viewpoint of Non-Standard Analysis - Derivative of Sine and Cosine

2000-10-06

arxiv.org/abs/math/0010065v1

Mathematics

General Mathematics

LaTeX; 19 pp, 6 figs

Scientific paper

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.

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