Introductory Calculus from the Viewpoint of Non-Standard Analysis - Derivative of Sine and Cosine
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- October 2000
- DOI:
- 10.48550/arXiv.math/0010065
- arXiv:
- arXiv:math/0010065
- Bibcode:
- 2000math.....10065U
- Keywords:
-
- Mathematics - General Mathematics;
- 00-01;
- 97-01
- E-Print:
- LaTeX