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Mathlets: Parametric Curves and Surfaces:    COURSE_COMMUNITIES_JAVA_ID


Course Topic(s): Multivariable Calculus | 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


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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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