Can't you use the site normally on Firefox?
Either way I visited their website quickly and found this on the front page:
http://www.vtc.com/modules/content/airplayer.php
Quote: "The VTC AIR Player is our new offering to provide you access to the VTC Online University from a Windows, Macintosh, or Linux machine."
Although their FAQ says "Adobe AIR run time is available for Windows and Macintosh operating systems. Adobe plans to release a run time for Linux soon.", you can get version 2.5 from Adobe already and they claim it works on Ubuntu 9.10, Fedora Core 12 and OpenSUSE 11.2.
http://get.adobe.com/air/
Have you tried that option yet? If it doesn't work with their player and the Linux AIR, you might want to send them an e-mail for direct customer support, since they seem to be one of the rare companies that care about their Linux users ;)
Let us know how it goes, I might hit them up myself with a couple comments depending on your success.
P. S. As far as I can see WMP 10 is in the list of applications you can install, just look it up on PlayOnLinux and follow the instructions (I've not tried it myself, but I figure everything should be rather straight-forward).
Edited by Salvatos
Disclaimer: I'm a noob, not a dev; my advice is only a guess.
Attention : Je suis aussi noob que vous, prenez mes suggestions avec un grain de sel ;)