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PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies

Volume 18, Issue 6, 2008

A Simple Acronym for Doing Calculus: CAL

A Simple Acronym for Doing Calculus: CAL

DOI:
10.1080/10511970701604014
Richard J. Hathaway*

pages 542-545

Available online: 10 Nov 2008

Abstract

An acronym is presented that provides students a potentially useful, unifying view of the major topics covered in an elementary calculus sequence. The acronym (CAL) is based on viewing the calculus procedure for solving a calculus problem P in three steps:

1. recognizing that the problem cannot be solved using simple (non-calculus) techniques,

2. approximating the solution of P using simple techniques, and

3. perfecting the approximation by taking an appropriate limit.

The modest contribution of this note attempts to package this point-of-view in a form that can be easily remembered and appreciated by students. The acronym is presented, explained, and illustrated using several important calculus topics.

Keywords

 

Details

  • Available online: 10 Nov 2008

Author biographies

Richard J. Hathaway received his BS in Applied Mathematics from the University of Georgia, Athens, Georgia, in 1979 and a PhD in Mathematical Sciences from Rice University, Houston, Texas, in 1983. He is currently a Professor in the Department of Mathematical Sciences at Georgia Southern University, Statesboro, Georgia. His research interests include pattern recognition and numerical optimization.

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