Course Communities
Mathlets: Parametric Curves and Surfaces: 
Course Topic(s):
Multivariable Calculus
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Properties of Curves
This is a collection of several animations that involve the Frenet frame and the osculating circle. For most of these, a curve is shown in R2 or R3 and a point moves along the curve along with the unit normal and unit tangent vectors and osculating circle. The binormal vector is shown for the curves in R3. The user can stop the animation and control the motion of the point, zoom in and out, and change the perspective for the 3D examples. The last applet demonstrates how parametric surfaces are a mapping from (R^2) to (R^3). The user drags a small rectangle in the domain and the mapping of the rectangle onto the surface is shown.
Resource URL: http://www.math.umn.edu/~rogness/mathlets.shtml#parametric
Subject classification(s):
Creator(s): Jonathan Rogness
Contributor(s): Jonathan Rogness
This resource was cataloged by Larry Green
Publisher:
Mathlets
Resource copyright: rogness@math.umn.edu
This review was published on June 08, 2011
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