I agree that contact tracing is important, but there are ways to do it without tracking each student's location all the time. The contact tracing app we have in Germany simply communicates with phones nearby, remembers who it has met, and if any of them test positive it sends you an alert.
There was a long and heated discussion about making this app as privacy focused as possible while still being useful, and it seems to have struck a reasonable compromise. Why can't the college's contact tracing app do something similar?