There's plenty of info on the assignment question page.

Casey knows mathematica decently and can recommend stuff, but mostly it's about experimentation.

? FunctionName shift+enter will print up inline help, which can then click through to very detailed documentation. Also try the wolfram demonstrations projects for inspiration.

Mathematica is capable of absurdly awesome plotting stuff, and Casey is prepared to offer a diabetes-inducing prize to the student with the prettiest graphs!