For the on snow course, you need to have basic avy gear. Beacon, shovel, probe, plus a way to carry it. You will also need to have some method of travel, snowshoes, or splitboard. Other than trying to boot pack it.
The Berthoud course is going to be a bit more advanced as we go over using your beacon and practice searching with it. In addition to covering terrain selection, some pit tests and analysis.
The resort course should cover most of this, but since you don't have to have avy gear for it, and the fact that it's geared towards the sidecountry slider, it's not going to as in depth. It will probably mostly stress terrain selection, travel protocols, and some pit work. To be honest it's new and I am not 100% sure what our instructors are planning on covering. So the only gear you would need to bring to this one is your typical riding gear you use at the resort everyday. Though I would recommend bring a full avy gear kit. I am sure some time will be set aside on how to use that gear making it worth your while.