Thanks for the answers. But I managed to solve it using some commands I found on the Ubuntu forums at canonical. Apparently, it is possible to connect the transformer via USB. But since it shows up as an mtp device instead of a normal storage device...Ubuntu was unable to recognize it. Once I installed the necessary drivers, it was possible to mount it like a normal storage device. Of course, the only inconvenience is that I would have to type the mount and dismount commands every time I plug and unplug the Asus transformer.
I chose to do a direct USB transfer instead of wifi, cos I simply found the wifi transfers too unreliable.
None the less, thanks to all the other answers as well. If anything I learned something new :-)