Are you on the latest hotfix? There was an issue where events weren't being tracked correctly.
It should flow like this: After 1 week you bump into the headmaster in the hallway(after class) and upgrades are unlocked. Then once you have any alumni you should get a phone call at home or in your office to unlock faculty.
If you have a save from before 0.426b I think it might be bugged and my compatibility function isn't fixing it. I suggest using the "workwork" code in the input window for now to forcefully unlock it.