1. Douglas B. Meade Department of Mathematics University of South Carolina meade@math.sc.edu Philip B. Yasskin Department of Mathematics Texas A&M University yasskin@math.tamu.edu ACMS Biennial Conference, Messiah College 1 June 2007

2. 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

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

4.  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

5.  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)

6.  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)

7.  Web Access  Open: Table of Contents/Videos http://www.math.sc.edu/calclab/M4C/ 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/ https://src1.psc.sc.edu/maplets/MapletsForCalculus/http://m4c.math.sc.edu/https://src1.psc.sc.edu/maplets/MapletsForCalculus/http://m4c.math.sc.edu/  Individual and Classroom Licenses  available through Maplesoft’s MapleConnect program http://www.maplesoft.com/products/thirdparty/maplets_calc/ http://www.maplesoft.com/products/thirdparty/maplets_calc/