Math Dept Calculus Maple Repository

A voluntary effort by those teaching in the MAT1500-1505-2500 sequence locked up in BlackBoard. Here are some submissions by bob.

MAT1500

• ExploreDiscreteFunctionFamily.mw
  explore a discrete family of functions with integer parameters
• ExploreTangentLine.mw
  Explore the tangent line along a function graph, intersection of two different tangent lines
• MeanValueThm.mw
  visualization of the mean value theorem

MAT1505

• NormalDistributionEvaluations.mw
  using Maple to evaluate probabilities and expected values for normal distributions
• CircleStar-Challenge.mw
  The challenge is to parametrize the "star-shaped" hypocycloid by a particular angle, and then to determine the extra angle needed to rotate the diagram so that the star is "upright"

MAT2500

• ProjectAlongDirection.mw
  vector projection along and perpendicular to a given direction, resolving a vector
• StewartCalc8e-10-1-Examples-ParametrizedCurves.mw
  examples of interesting parametrized curves in the plane
• accelerationsplit.mw
  visualization of the acceleration splitting into tangential and transverse vector components for a 3d parametrized curve
• s14-2-plot-explore.mw
  visualizing 2d limits at a bad point by zooming in to see discontinuity or continuity
• tangentplanezoom.mw
  zoom in on a graph of a 2d function to see it flatten out to its tangent plane
• ExploreDirectionalDerivativeGraphicalRepresentation.mw
  graphical visualization of directional derivatives and tangent plane cross-sections of 2-d function graphs
• IteratingDoubleIntegrals.mw
  detailed explanation and visualization of how we iterate an integral over a 2d region described by  bounding curves
• TripleInt-VisualizeSuccessivePartialIntegrations.mw
  detailed explanation and visualization of how we iterate an integral over a 3d region described by  bounding surfaces

MAT2705

• ExploreDEfirstorderIVP.mw
  Explore visualization of solutions of a first order DE initial value problem
• EigenExploreDrag.mw
  in a 2d plot: drag the input vector and see the output vector to discover eigenvectors when they line up, and read off the eigenvalues