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Demonstrates the dot product or scalar product

Orthogonality and Projections, Linear Algebra, Vectors, Vector Operations, Multivariable Calculus

Purchase your own non-orientable surfaces in a variety of glass-blown or hand-woven forms. Website is source material for in-class mathematical comedy.

Parametric Surfaces

The Planimeter

An elegant planimeter applet. The user can pick from 6 built-in figures to compute the area by tracing around the perimeter.

Green's Theorem, Multivariable Calculus

Planimeter

A informational, non-interactive website on planimeters. Has nice graphical explanation of how linear and polar planimeters work.

Green's Theorem

The Planimeter

A detailed explanation of the workings of the planimeter (a device for measuring area using Green's theorem). Has interactive applet and images.

Green's Theorem

Larry Green's Calculus Videos -- Vector Valued Functions

This is a collection of 18 instructional videos on the role of vector valued functions in multivariable calculus. Each is a solution of a single problem on some topic.

Vector-Valued Functions and Velocity/Acceleration, Properties of Curves

3D-ExploreMath-J Applets

A grapher and collection of applets which display interactive curves and surfaces.

Conic Sections & Quadric Surfaces

Integral Curves Applet

This is a configurable java applet with a simple interface to enter vector fields and display integral curves. The user has a choice of Runge-Kutta or Euler's method.

Vector Fields and Flowlines, Multivariable Calculus

Navier-Stokes Equation

A brief description of the Navier-Stokes Millenium Problem as a prize problem. Includes a video of a lecture on the problem aimed at a general (non-mathematical) audience.

Vector Fields and Flowlines, Multivariable Calculus

CalcPlot3D

This part of the tool allows the user to graph any surface in 3D and then plot the Taylor Polynomial of degrees 0 through 5.

Vector Fields and Flowlines, Taylor Polynomials, Hessian, Directional Derivatives and Gradients, Partial Derivatives, Differentiability, Graphing Multivariable Functions, Properties of Curves, Conic Sections & Quadric Surfaces, Lines and Planes, General Tools