I have a new Asus G750JW running Mint15 with Mate.
I spent a frustrating day trying to get the WiFi to work. I'm posting this so that others don't waste their time... The Broadcom 43b1 WiFi chip does not have a Linux driver in the repositories. If you go to the Mint Driver Manager you will see that the bcmwl-kernel-source is disabled -- don't enable it.
This handy list show that the 43b1 is not supported:
and that it is a known issue: