The Kinesiology Department webpage has a section for the Wellness Lab (aka the gym, formerly the Fitness Center) with the hours. It's generally available at the start and end of the day, allowing for classes to meet there during main part of the day.
As of Fall 2023, kinesiology falls under Division 2. Their DOM or DOS (contact info on the site; based out of the CSI building, second floor) would be points of contact for questions.
You might also check The Pulse campus newsletter which is emailed weekly.
Fall 2023 hours:
Mon-Thur: 7:30 - 9 a.m. and 3 - 6 p.m.
Closed Friday-Sunday