
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 | |||||
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.
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.