Turk's Math Stuff

Calc D Notes 1

• Direction cosines A sketch that shows a vector and then triangles to represent the planes in which to look for the angles alpha, beta, and gamma. Turn on/off the polygons and the angles.
• Direction cosines again An interesting sketch where you can see the cones determined by the angles alpha, beta, and gamma and their intersection.

Calc D Notes 2

• Parallel, intersecting, and skew lines Nothing big here, just a sketch with some lines that are parallel, some that are intersecting, and some that are skew!

Calc D Notes 3

• The Quadratic Surfaces Just a sketch that shows each of the quadratic surfaces.

Calc D Notes 5

• Directional Derivative, Gradient, and Steepest Ascent/Descent. This sketch has three panels: one that shows the xy-plane and has a point, a unit vector, and the gradient; one that shows a graph of the value of the directional derivative as a function of the angle between the gradient and the unit vector; and one that shows the surface with the tangent line to the surface, the gradient, and the unit vector.