Area under a Curve

This animation from Lou Talman is a dynamic representation of the area function we introduce in the standard proof of the Fundamental Theorem of Calculus.
http://clem.mscd.edu/~talmanl/HTML/FTOC.html

The Unit Circle and the Tangent Function

This animation from Lou Talman shows how a point moving around the unit circle generates the tangent function.
http://clem.mscd.edu/~talmanl/HTML/TangentCurve.html

The Unit Circle and the Sine Curve

This animation from Lou Talman shows how the sine curve can be constructed from the definition of the sine function as the y-coordinate of a point on the unit circle.
http://clem.mscd.edu/~talmanl/HTML/SineCurve.html

A Parabolic Reflector

This animation from Lou Talman show how a planar wave-front entering a parabolic reflector is reflected to the focus of the parabola.
http://clem.mscd.edu/~talmanl/HTML/ParabolicReflector.html

The Reflection Property of an Ellipse

This animation from Lou Talman demonstrates the reflection property of the ellipse.
http://clem.mscd.edu/~talmanl/HTML/EllipticReflector.html

Tracing out an Ellipse

This animation from Lou Talman shows how to use the definition of ellipse to trace out such a curve
http://clem.mscd.edu/~talmanl/HTML/Ellipse_Def.html

Conic Sections Animated

This lovely animation from Lou Talman shows how a plane intersects a cone to form the curves traditionally known as the "conic sections," - ellipses, parabolae, and hyperbolae.
http://clem.mscd.edu/~talmanl/HTML/ConicSections.html

Pythagorean Theorem Animated

This animation from Lou Talman is a visual proof of the Pythagorean theorem.
http://clem.mscd.edu/~talmanl/HTML/Pythagoras.html

The Unit Circle and the Graph of the Tangent Function

This animation from Lou Talman shows how a point moving around the unit circle generates the tangent function.
http://clem.mscd.edu/~talmanl/HTML/TangentCurve.html

The Unit Circle and the Graph of the Sine Function

This Quicktime animation from Lou Talman shows how the sine curve can be constructed from the definition of the sine function as the y-coordinate of a point on the unit circle.
http://clem.mscd.edu/~talmanl/HTML/SineCurve.html

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