Electronic Proceedings of the Seventh Annual International Conference on Technology in Collegiate MathematicsOrlando, Florida, November 1720, 1994Paper C021Mathcad Activities on Infinite Series and Taylor Polynomials 
Przemyslaw BogackiDepartment of Mathematics and Statistics Old Dominion University Norfolk, VA 23529 USA Phone: (757) 6833262 Fax: (757) 6833885 pbogacki@odu.edu list of all papers by this author 
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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 'stackedup' in the partial sum sequence. This activity can be repeated whenever a new type of a series is introduced (geometric, alternating, pseries, 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 'onedimensional' layout many other packages follow.
At the end of the presentation, the connection between these activities, and related laboratory assignments (developed under our Computerbased Calculus Project) will be outlined.
Keyword(s): calculus, Mathcad, sequences and series