Douglas B. Meade

Department of Mathematics University of South Carolina

[email protected]

Philip B. Yasskin

Department of Mathematics Texas A&M University

[email protected]

ACMS Biennial Conference, Messiah College 1 June 2007

Collection of more than 70 maplets

… utilizing Maple’s symbolic, numeric, and graphic capabilities … to create

student-(and instructor-) friendly

environments … for learning and teaching fundamental calculus

concepts,

manipulations, theory, and applications .

 Maplet  Applet created in the Maple programming language

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Problem Definition

 Algorithmic problems provide almost endless practice problems  Ability to enter user-defined problems allows for use on textbook exercises

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Problem Solution / Checking

 Approach closely follows standard methods and terminology found in textbooks  Solution is checked step-by-step symbolically  Hints are available (more are needed)  Correct solution can be displayed

 Pre-Calculus (17)  Shifting Functions  Integrals (20)  Integration by Parts  Volumes by Slicing  Limits (5)  Left & Right Limits & Continuity: Using a Graph  Differential Equations (2)  Separable ODEs  Derivatives (22)  From Secant Slopes to Tangent Slope, Using a Formula   Properties of the Graph of the Derivative Implicit Differentiation  Sequences / Series (4)  Geometric Series  Series Convergence Test Drill  Curvilinear Coordinates (2)

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Ongoing Development

 Expanding collection of maplets  Updating maplets to uniform style and functionality  Investigating options for integrating with course management tools (e.g., WebWorks, WebAssign)

 Web Access  Open: Table of Contents/Videos http://www.math.sc.edu/calclab/M4C/  Secure: USC & TAMU Communities + Approved Users Local copy of Maple: https://src1.psc.sc.edu/maplets/MapletsForCalculus/ MapleNet: http://m4c.math.sc.edu/  Individual and Classroom Licenses  available through Maplesoft’s MapleConnect program http://www.maplesoft.com/products/thirdparty/maplets_calc/