The absolute minimum requirements are a text editor and a JavaScript interpreter.
It will be really great if you have Firefox and Firebug on your laptop. In fact, I'd say that this is a requirement.
If you are running Linux then you'll find it easy to install the SpiderMonkey JavaScript interpreter as a stand-alone command-line application, and that will be really useful. You can also easily install it on the Mac by using MacPorts (sudo port install spidermonkey).
You'll find it really helpful if your editor has a JavaScript mode. I use Emacs with js2-mode.
If you're looking for a book to go with the tutorial, I suggest Douglas Crockford's JavaScript: The Good Parts.
I can't promise to be able to answer all questions, but if there are any topics you'd particularly like help with please email me.
If you're attending the tutorial and would like to suggest further requirements, please add them below.