proof of faraday's law

Hi, I'm looking for a proof of faraday's law. This is the only page which gives a formal proof of it, but I do not understand the transformation from the first to the second step. It someone could help me out, I would appreciate it. Also, if someone could explain the opposite as well: how do you go from maxwell and faraday's differential equation to the actual equation for emf?

http://en.wikipedia.org/wiki/Faraday...araday.27s_law

sorry, i posted this in the calculus forum as well. was not sure which to put it in. thanks