Maple
Generated
Animations

Click on the topic below to view various animations created using MapleV Release 5.

Straight Lines

y = mx + c varying the gradient or varying the intercept

Quadratic curves

y = ax2 + bx + c varying a or varying b.

Cubic curves

The graph of   y = ax3 + bx2 + cx + d   varying  a or varying  b or varying c.

Showing the gradient of a variable tangent to a cubic curve.
There are two versions of the animation: a smaller, faster one and a larger, slower one.

Some properties of conics

Parabola: illustrating the fact that tangents at opposite ends of a focal chord meet on the directrix.
There are two versions of the animation: a smaller, faster one and a larger, slower one.

Hyperbola: illustrating the fact that tangents at opposite ends of a chord through the centre are parallel.
There are two versions of the animation: a smaller, faster one and a larger, slower one.

Ellipse: again, illustrating the fact that tangents at opposite ends of a chord through the centre are parallel.
There are two versions of the animation: a smaller, faster one and a larger, slower one.

A non-differentiable surface

An example of a function  f  of two variables which is not differentiable at the origin but both the partial derivatives f/ x and f/ y exist (and are zero) at the origin.

Surface topology

Constructing a torus by glueing opposite edges of a rectangle.
There are two animations to choose from: a smaller, faster one and a larger, slower one

Constructing a Möbius band by glueing a pair ofopposite edges of a rectangle with a half twist.
Again there are two animations: a smaller, faster one and a larger, slower one.

Klein bottle. Not an animation, this time, just the static image.


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