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Area under a CurveThis animation from Lou Talman is a dynamic representation of the area function we introduce in the standard proof of the Fundamental Theorem of Calculus.
The Unit Circle and the Tangent FunctionThis animation from Lou Talman shows how a point moving around the unit circle generates the tangent function.
The Unit Circle and the Sine CurveThis animation from Lou Talman shows how the sine curve can be constructed from the definition of the sine function as the ycoordinate of a point on the unit circle.
A Parabolic ReflectorThis animation from Lou Talman show how a planar wavefront entering a parabolic reflector is reflected to the focus of the parabola. The Reflection Property of an EllipseThis animation from Lou Talman demonstrates the reflection property of the ellipse. Tracing out an EllipseThis animation from Lou Talman shows how to use the definition of ellipse to trace out such a curve Conic Sections AnimatedThis 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. Pythagorean Theorem AnimatedThis animation from Lou Talman is a visual proof of the Pythagorean theorem.
The Unit Circle and the Graph of the Tangent FunctionThis animation from Lou Talman shows how a point moving around the unit circle generates the tangent function.
The Unit Circle and the Graph of the Sine FunctionThis Quicktime animation from Lou Talman shows how the sine curve can be constructed from the definition of the sine function as the ycoordinate of a point on the unit circle.
