Animation of parameterized line
(
Quicktime format
)
Line swept out as the values of a vector-valued function
Circular helix
Circular helix given by a vector-valued function
Trefoil knot
Knotted curve given by a vector-valued function
Graphing applet for 3D parameterized curves
Graphing applet written by Professor Leathrum at Jacksonville State University
Elliptical helix
Elliptical helix in space with a point on it
Tangent vector as a limit
Animation to illustrate the limiting process involved in the definition of the derivative
Tangent vector as a limit
(
Quicktime format
)
Animation to illustrate the limiting process involved in the definition of the derivative: control h using the slider
The tangent vector at the point
The derivative vector that results from the above two animations
Tangent vectors from the derivative
The derivative of the elliptical helix as another vector-valued function.