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**Some Wolfram Demos to check out:**

Powers and roots

Visualizing mappings

Stereographic projection

Custom made

Instructions: download this (i.e., save it, don't just open it in your browser). Double-clicking should then open a Mathematica window. Enable dynamic content. Play around by modifying things and seeing how the pictures change!

Tip: use shift-return to execute a line of code.

\( f(z)= \frac{z^2-i}{2z^2+i} \) | ||

\( f(z)= \frac{z^2-i}{2z^2+i}- \frac{1}{2} \) |