Maple |
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
Cubic curves
The graph of y = ax^{3} + bx^{2} + 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.
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.