Math 200 3D Interactive Graphics

Note: You will need the newest version of Java 7 to view the following graphs. Tablets and smartphones are not supported.

Section 12.6

Hyperbolic paraboloid

Hyperbola of one/two sheets and cone

Section 14.1

Hyperbolic paraboloid - as in Section 12.6

Level curves for $$f(x,y) = \dfrac{1}{\sqrt{1-x^2-y^2}}$$

Level curves for $$f(x,y) = \sqrt{x^2+y^2}$$

Level surfaces for $$f(x,y) = x^2 + y^2 - z^2$$

A function that has no limit at (0, 0) but the limit exists along all traces through (0, 0)

Section 14.4

Partial derivatives and tangent plane

A function that is non-differentiable at (0, 0) but all traces through (0, 0) are differentiable

Section 14.6

Directional derivative and the gradient vector

Section 14.7

Critical points of a differentiable function

Absolute maxima and minima of a continuous function in a closed and bounded region

Section 14.8

Absolute extrema of a function subject to a constraint (2 variables)

Absolute extrema of a function subject to a constraint (3 variables)

Absolute extreme of a function subject to two constaints (3 variables)

Polar function

Section 15.7

Integration limits of a triple integral

Section 15.9

A point in spherical coordinates

A box in spherical coordinates

By Joseph Lo, CWSEI, Department of Mathematics, University of British Columbia