Encompassing current mathematical software and technology in teaching and research

Wei-Chi Yang
Department of Mathematics and Statistics
Radford University, Radford, VA 24142
wyang@runet.edu
http://www.runet.edu/~wyang

Abstract

This paper is divided into two parts. One is to discuss the technology in teaching and the other is the technology in research in the area of numerical integration. First, I shall use examples to demonstrate how Maple and Scientific WorkPlace (SWP) can be best used in classroom teaching interactively. One example in teaching integration will be demonstrated. Specifically, how SWP can be used in understanding the Riemann Sum and how to use Maple to generate the animations. The Maple source code will be also provided. I shall give references on lots of teaching modules, which can be found in my homepage. Second, I will also discuss problems in numerical integrations motivated by Maple and Mathematica. What type of problems both Maple and Mathematica have trouble in finding a numerical answer. I will give some successful adaptive quadratures in one and two dimensions, which I generated by using Maple as a conjecture tool.

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