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Euler was the first person to recognize that mixed second partial derivatives are equal (in general) -- except that he discussed differentials instead.

This is a collection of images and animations of various concepts in multivariable calculus, including a plane tangent to a sphere, a function with two local maxima but no local minimum, and a

This is a Java applet used to visualize the relation between various derivatives in differentiating a function of two variables along a parametrized curve.

This is a Mathematica lab worksheet that leads students through an exercise in finding the volume of liquid in a cylindrical tank that is tilted at some angle from the horizontal.

Explains the use of Riemann sums for evaluating double integrals, with accompanying rotatable 3D visualizations of a surface and a Riemann sum approximation.
Maple package for computing line and surface integrals, as well as normal and tangent vectors, etc.

Geogebra tool that draws a parametric curve and shows acceleration vector and velocity vector

This applet shows the path of a golf ball rolling on a putting green. You can choose to add the velocity, acceleration, and tangential and normal accelerations.
This project is aimed at bridging the gap between how vector calculus is taught by mathematicians and how it is used by scientists.

Simple learning unit with applets to study Cartesian, polar and oblique coordinates. Applets are accompanied by exercises and solutions.

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