Explore takes math to the next level

The Explore command is very powerful for creating interactive Maple plots and expressions. It also allows one to insert draggable markers in 2d plots. Here are some examples:

• ExploreFaq.mw  [most useful minimal inputs]
  
  
• EigenExploreDrag
  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
• beziercurves.mw
  assemble a 4 segment Bezier curve to create a more complicated design like the profile of a chalice surface of revolution; extended to an M – 1 degree polynomial, N curve segments using Explore_bezier.mw from Maplesoft support
  
    bezieremail.pdf email exchange about more sophisticated programming for this idea
    Explore_bezier.mw Maplesoft expert version 1
    Explore_bezier2.mw Maplesoft expert version 2 [export slider values]
  
  
• tangentplanezoom.mw
  zoom in on a graph of a 2d function to see it flatten out to its tangent plane
  
• ExploreTangentLine.mw
  Explore the tangent line along a function graph, intersection of two different tangent lines
  
• ExploreSecantLine.mw
  Explore the limiting secant  line along a function graph
• s14-2-plot-explore.mw
  visualizing 2d limits at a bad point of a surface graph by zooming in to see discontinuity or continuity
  
• A list of bob's submissions to the department Maple Repository
  
• first order differential equations and initial value problems: visualization