When the workshop is in session, click on the links on this page to download workshop materials.

Lead-in Activities

On-line Program (June 27 - July 1, 2005)

Schedule

Monday June 27, 10 am - 11:30 am

• Introduction and Introductions
• Discussion of Philosophy of using Maple in teaching
• "Just Enough Maple" (see Lead-In activities above)
• Getting Started - two worksheets and two in-class demonstrations
  • "Systems of Linear Equations" (VisualSystems.mw) in Maple 10 format or Maple 9.5 format
  • "Preparation for Fourier Series, Taylor Series: a visual approach to approximation" (Demo-TaylorAnimForLinAlg.mw) in Maple 10 format or Maple 9.5 format
  • "In-class Demonstration: Fourier Approximations" (Demo-FourierApprox.mw) in Maple 10 format or Maple 9.5 format
  • "Gaussian Elimination"(GaussianElimination.mw) in Maple 10 format or Maple 9.5 format
  (As before, right click or control-click (PC) or option-click (Mac) to force the file to download - if it opens in a browser window all you will see is a string of meaningless characters. If the file downloads with a .txt extension added, remove the .txt extension from the file name)

Monday June 27, 2:30 pm - 4 pm

• Getting Started, continued
• Teaching Without a Net
  • "Constructing Random Matrices with Specified Rank" (RandomMatrices.mw) in Maple 10 format or Maple 9.5 format
  • "Image of a Linear Transformation" (Images.mw) in Maple 10 format or Maple 9.5 format
  • "Algorithmic Gaussian Elimination" (Demo-AlgorithmicGauss.mw) in Maple 10 format or Maple 9.5 format
  • "Eigenvectors and Eigenvalues" (Eigenvs.mw) in Maple 10 format or Maple 9.5 format

Tuesday June 28, 10 am - 11:30 am

• Teaching Without a Net, continued
• Nuts and Bolts
  • "Working with and plotting vectors" (Vectors.mw) in Maple 10 format
  • "Solving Matrix Equations" (MatrixEquations.mw) in Maple 10 format
  • "In-class Demonstration: Applications to Systems" (Demo-SystemCalcs.mw) in Maple 10 format
  • "Testing for Linear Independence" (LinearIndependence.mw) in Maple 10 format
  • "Dimension" (Dimension.mw) in Maple 10 format
  • "In-class Demonstration: Elementary Matrices" (Demo-ElementaryMatrices.mw) in Maple 10 format
  • "In-class Demonstration: Inverses" (Demo-Inverses.mw) in Maple 10 format
  • "In-class Demonstration: LU-Decomposition" (Demo-LUDecomposition.mw) in Maple 10 format
  • "LU-Decomposition" (LUDecomposition.mw) in Maple 10 format
  • "In-class Demonstration: Change of Coordinates" (Demo-ChangeofCoords.mw) in Maple 10 format

Tuesday June 28, 2:30 pm - 4 pm

• Nuts and Bolts, continued

Wednesday June 29, 10 am - 11:30 am

• Nuts and Bolts, continued
• More on Visualization
  • "Visualizing Linear Transformations in R²" (LinearTransf2D.mw) in Maple 10 format
  • "Visualizing Linear Transformations in R³" (LinearTransf3D.mw) in Maple 10 format
  • "In-class Demonstration: Quadratic Forms; Orthogonal Diagonalization" (Demo-QuadraticForms.mw) in Maple 10 format
  • "In-class Demonstration: Quadratic Forms; Orthogonal Diagonalization - Part 2" (Demo-QuadraticForms2.mw) in Maple 10 format

Wednesday June 29, 2:30 pm - 4 pm

• An introduction to Document mode in Maple 10 format
• More on Visualization, continued
  • "Fourier Approximations" (FourierApprox.mw) in Maple 10 format
• Diagonalization
  • "Diagonalization" (Diagonalization.mw) in Maple 10 format
  • "Creating worksheets with nice numbers and nice diagonalization" (NiceMatrixCreation2.mw) in Maple 10 format

Thursday June 30, 10 am - 11:30 am

• Participant worksheets (see transcript page)
• The remaining worksheets listed may be covered over the final two days, depending on how much time is spent on participant worksheets (the preferred activity)
  • Determinant-related
    • "Determinants" (Determinants.mw) in Maple 10 format
    • "Eigenvalue/eigenvector algorithm" (EigenAlgorithm.mw) in Maple 10 format
    • "Diagonalizability" (Diagonalizability.mw) in Maple 10 format
  • Polynomial Approximation
    • "Polynomial Approximation: Legendre Polynomials" (1-LegendrePolys.mw) in Maple 10 format
    • "Polynomial Approximation: Chebyshev Polynomials" (2-ChebyshevPolys.mw) in Maple 10 format
    • "Polynomial Approximation: Jacobi Polynomials" (3-JacobiPolys.mw) in Maple 10 format
  • Canonical forms
    • "Jordan canonical form - I" (JordanFormI.mw) in Maple 10 format
    • "Jordan canonical form - II" (JordanFormII.mw) in Maple 10 format
    • "Rational canonical form" (RationalForm.mw) in Maple 10 format

Thursday June 30, 2:30 pm - 4 pm

• Participant worksheets (see transcript page)
• Remaining worksheets, as time permits

Friday July 1, 10 am - 11:30 am

• Participant worksheets (see transcript page)
• Remaining worksheets, as time permits

Friday July 1, 2:30 pm - 4 pm

• Participant worksheets (see transcript page)
• Remaining worksheets, as time permits

Follow-Up Activities

• Participants are expected to implement workshop-created Maple activities in their own classrooms
• Participants are expected to participate in an on-line discussion list, sharing their experiences using Maple in the classroom
• Participants are encouraged to disseminate materials they develop both within the participant group, and also to the wider mathematics community

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