Electronic Proceedings of the Seventh Annual International Conference on Technology in Collegiate Mathematics
Orlando, Florida, November 17-20, 1994
Mathcad Activities on Infinite Series and Taylor Polynomials
Department of Mathematics and Statistics
Old Dominion University
Norfolk, VA 23529
Phone: (757) 683-3262
Fax: (757) 683-3885
list of all papers by this author
|Click to access this paper:|
|Additional file(s) associated with this paper:|
Activities discussed in this presentation, developed by the author in the Summer 1994, are intended to provide an intuitive interpretation to some of the fundamental notions involved in studying infinite series and Taylor polynomials, in an attempt to lend more credibility (from a student's point of view) to theoretical results.
In the infinite series activity, students visually and numerically explore some examples of series. The relationship (and difference) between the convergence of the term sequence and that of the partial sum sequence is highlighted by having the terms 'stacked-up' in the partial sum sequence. This activity can be repeated whenever a new type of a series is introduced (geometric, alternating, p-series, etc.).
The Taylor polynomial activity was designed to help the instructor achieve two goals:
The activities discussed here have been written as Mathcad for Windows sessions. The advantage that Mathcad offers here, is that all the relevant information: formulas, graphs and tables can be arranged in a logical fashion - Mathcad is not constrained by the 'one-dimensional' layout many other packages follow.
At the end of the presentation, the connection between these activities, and related laboratory assignments (developed under our Computer-based Calculus Project) will be outlined.