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Douglas B. Meade

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... (17) Shifting Functions Limits (5) Left & Right Limits & Continuity: Using a ... Using a Formula Properties of the Graph of the Derivative Implicit ... – PowerPoint PPT presentation

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Title: Douglas B. Meade


1
  • Douglas B. Meade
  • Department of Mathematics
  • University of South Carolina
  • meade_at_math.sc.edu
  • Philip B. Yasskin
  • Department of Mathematics
  • Texas AM University
  • yasskin_at_math.tamu.edu

ACMS Biennial Conference, Messiah College 1 June
2007
2
  • Collection of more than 70 maplets
  • utilizing Maples 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
  • Limits (5)
  • Left Right Limits Continuity Using a Graph
  • Derivatives (22)
  • From Secant Slopes to Tangent Slope, Using a
    Formula
  • Properties of the Graph of the Derivative
  • Implicit Differentiation
  • Integrals (20)
  • Integration by Parts
  • Volumes by Slicing
  • Differential Equations (2)
  • Separable ODEs
  • Sequences / Series (4)
  • Geometric Series
  • 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.s
    c.edu/calclab/M4C/
  • Secure USC TAMU Communities Approved Users
    Local copy of Maple https//src1.psc.sc.edu/m
    aplets/MapletsForCalculus/MapleNet
    http//m4c.math.sc.edu/
  • Individual and Classroom Licenses
  • available through Maplesofts MapleConnect
    programhttp//www.maplesoft.com/products/thirdpar
    ty/maplets_calc/
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