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M408M Learning Module Pages
Main page Chapter 10: Parametric Equations and Polar CoordinatesLearning module LM 10.1: Parametrized Curves:3 kinds of functions, 3 kinds of curvesThe cycloid Visualizing parametrized curves Tracing curves and ellipses Lissajous figures Learning module LM 10.2: Calculus with Parametrized Curves:Learning module LM 10.3: Polar Coordinates:Learning module LM 10.4: Areas and Lengths of Polar Curves:Learning module LM 10.5: Conic Sections:Learning module LM 10.6: Conic Sections in Polar Coordinates:Chapter 12: Vectors and the Geometry of SpaceChapter 13: Vector FunctionsChapter 14: Partial DerivativesChapter 15: Multiple Integrals |
Visualizing parametrized curvesNote: This is the first of many interactive learning module pages that you will see in this course. These interactives require the Wolfram CDF Player. If you do not have this loaded on your computer, you can download the free plugin at www.wolfram.com/cdf-player. (Not available for Linux.) If the plugin isn't installed, you'll still see a screen shot of the interactive, but you won't be able to do anything with it. For each of the functions in the drop-down menu, drag the $t$-slider and see how the curve is traced out. Note that this shows a different parametrization of the circle than the one we did before, going clockwise from the top instead of counter-clockwise from the side.
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