Douglas B. Meade Department of Mathematics University of South Carolina Philip B. Yasskin Department of Mathematics Texas A&M University.

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Presentation transcript:

Douglas B. Meade Department of Mathematics University of South Carolina Philip B. Yasskin Department of Mathematics Texas A&M University 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

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

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

 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  Secure: USC & TAMU Communities + Approved Users Local copy of Maple: MapleNet:  Individual and Classroom Licenses  available through Maplesoft’s MapleConnect program