List of applets
Applet: Area transformation of nonlinear 2D change of variables map (Interactive)
Illustration of how a nonlinear change of variables maps a rectangle onto the $xy$-plane and changes area.
Applet: Nonlinear 2D map (Interactive)
Illustration of the mapping of rectangle by a nonlinear transformation
Applet: A nonrotating sphere indicating absence of curl (Interactive)
The absence of curl in a vector field that circulations is demonstrated by the fact that a sphere does not rotate when its center is held fixed.
Applet: A nonrotating sphere on a rod shows no y-component of curl (Interactive)
The lack of rotation of a sphere on a rod illustrates that the $y$-component of the curl of a vector field is zero.
Applet: Ordinary derivative of heating cost
The derivative of heating cost with respect to temperature is shown by a movable tangent line.
Applet: Ordinary derivative by limit definition (Interactive)
Illustration of how the limit definition of the ordinary derivative gives the slope of a curve.
Applet: The phase of an oscillator (Interactive)
The phase of an oscillator is represented by a point on the unit circle.
Applet: Outward flowing 2D vector field with negative divergence (Interactive)
Illustration of a vector field that is radiating outward but still has negative divergence.
Applet: Outward flowing vector field with zero divergence
Illustration of a vector field that is radiating outward but still has zero divergence.
Applet: Changeable paraboloid (Interactive)
A paraboloid that can be changed from a hyperbolic paraboloid to an elliptic paraboloid.
Applet: Parametrized ellipse (Interactive)
Illustration of a parametrization of an ellipse at constant speed by a vector-valued function.
Applet: Parametrized ellipse (Interactive)
Illustration of a parametrization of an ellipse at an accelerating speed by a vector-valued function.
Applet: Graph of a function that parametrizes an ellipse
Graph of the function that can also be viewed as parametrizing an ellipse at a constant speed.
Applet: Graph of a function that parametrizes an ellipse
Graph of the function which can also be viewed as parametrizing an ellipse at an accelerating speed.
Applet: Parametrized elliptical helix (Interactive)
Illustration of a parametrization of an elliptical helix by a vector-valued function.
Applet: A parametrized helicoid (Interactive)
A parametrization of a helicoid by a vector-valued function, viewed as a mapping of a rectangle onto the surface.
Applet: A parametrized helicoid with normal vector (Interactive)
A parametrization of a helicoid by a vector-valued function, shown with a normal vector.- Applet: A parametrized helicoid -- subapplet (Interactive)
A parametrization of a helicoid by a vector-valued function, viewed as a mapping of a rectangle onto the surface. 
Applet: A parametrized helicoid with surface area elements (Interactive)
A parametrization of a helicoid by a vector-valued function, demonstrating how the mapping of a rectangle onto the surface changes surface area.
Applet: A parametrized helicoid (Interactive)
A parametrization of a helicoid by a vector-valued function of two variables, where the range of each variable spans an interval.
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