Wolfram Language Fast Introduction for Math Students
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Plots in 3D

Plot3D will plot a 3D Cartesian curve or surface:

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Plot3D[x^2 - y^2 , {x, -3, 3}, {y, -3, 3}]
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Use ParametricPlot3D to plot a 3D space curve:

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ParametricPlot3D[{Sin[u], Cos[u], u/10}, {u, 0, 20}]
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For plotting in spherical coordinates, use SphericalPlot3D:

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SphericalPlot3D[Sin[\[Theta]], {\[Theta], 0, Pi}, {\[Phi], 0, 2 Pi}]
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RevolutionPlot3D constructs the surface formed by revolving an expression around an axis:

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RevolutionPlot3D[x^4 - x^2, {x, -1, 1}]
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QUICK REFERENCE: Function Visualization »