ATM: Mathematics Teaching Issue 229 (July 2012)
pages 44-46
Douglas Butler explores the Geometry of Calculus
using Autograph

Video tutorials
from the author

Download the PDF article

Online Autograph Activities

You may need to instal the Autograph Player the first time
- you will be prompted to do so (Mac or PC)

1. Can 0รท0 => 2?

1. Autograph file: Zero divided by zero?

2. Max, min, pt of inflexion

2. Autograph file: Max and Min

3. Gradient in 3D

3. Autograph file: Gradient in 3D

4. Area from first principles

4. Autograph file: Areas from first principles

5. Volume, from first principles

5. Autograph file: Volumes from first principles (about y = -1)
... Autograph file: Volumes from first principles (about x = -1)

6. Running Autograph files online

Further Autogaph resources online:

Direct Links to these, and other, Autogrpah Activities online



Contact: debutler (at)