![]() Paul Seeburger (Monroe Community College), "CalcPlot3D, an Exploration Environment for Multivariable Calculus - Contour Plots," Convergence (November 2011), DOI:10. If you click on the contour plot, you will the 3D surface plot of the function will be graphed along with the contours on the surface.įor the second function, you will do the same thing, except you can enter -2 for the First Step, and 21 for the Number of Steps.Ĭlick here to open the CalcPlot3D applet in a new window.Ĭlick here to open a pdf file which contains the instructions for the activity. Then click on the OK button to see the contour plot appear. For the first function, you will then enter -1 for the First Step, 0.2 for the Step Size and 11 for the Number of Contours. Be sure that Function 1 is selected on the left. Then select the Draw Contour Plot option from the Contour Plot menu. To create these contour plots, you will start by entering the function in Function 1 and graphing it. For each function, find a viewpoint that shows the surface and contours clearly and print this surface plot as well. Print these contour plots and then for each one, click on the contour plot to see the contours as they appear on the surface. Create and extract contours from built-in, centimeter accurate elevation data. ![]() But I like to require them to use the applet to create contour plots for several functions whose contours are more complicated so they can improve their geometric intuition connecting the surface plots of various types of functions with their contour plots.Įxercise: Create contour plots for \(z = Cos(x)Sin(y)\) and \(z = -4x/(x^2+y^2+1) \). I still require my students to be able to create contour plots of the first sort by hand, and they can certainly use the applet to visually verify their results. But there are a lot of interesting functions whose contour plots are much more difficult to create by hand. Many of these have contours that are lines, circles, or ellipses. Certain types of contour plots are not too difficult to create by hand. This creates monotonically-increading vectors from the original ‘x’ and ‘y’ vectors using linspace, creates corresponding matrices using ndgrid, then interpolates them using griddata to create the matrices necessary for the contour function.
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