Ron, I haven't studied Trimix computers. But, even in the Advanced NITROX class, an Air/NITROX computer can't be used. WHY? Because most if not all can't handle multiple gases during the same dive. Most NITROX computers allow you to set your O2 percentage anywhere from 21% to 40% or higher, for the whole dive. Many, including both of mine, won't let you change that for 24-hours, or it will only operate in gauge mode. So, there is no way to tell the computer to change from back gas to deco gas, which will be different %O2 (that's what the class is all about) during the same dive. Even if it was just air and one blend of NITROX, most conventional computers can't handle the switch during a dive (and produce valid computations afterward).
So, in my class, it will be Bottom Timers and Depth gauges all the way. And we will learn to create our own tables with custom mixes for the depths we plan to dive. These table will then be copied onto our wrist slates (there are other ways) along with a backup in case we miss a stop or over stay a time slightly. But basically, we will plan the dive using tables, and then dive the plan using the same tables. That is the way this instructor teaches the course.
I suspect there are computers that handle multiple gas switches to include Trimix, but we would still be required to plan the dive using tables and then dive the plan.
We can use our computers, in gauge mode (if they have that mode) as bottom timers and depth guages. Then we only have to buy one additional bottom timer/depth gauge. That additional (backup) could, I think, be as simple as a wrist watch and an analog depth gauge (removed from the console).
To those that explained the Argon/Helium/Air - THANKS! I'd read about it, briefly. I had been told Argon had a better "R-Value", but didn't realize the catch about using it instead of more expensive Trimix. But if it isn't a lot better than air, why not use air (21%) in the dry suit tank, versus argon? It seems that would be easier? I guess I really should wait for the class and ask these questions there.