Dear K. R….
I see two issues here. Regarding plagiarism, don’t pull words from their promo materials, class materials, or even course titles. Summarize or write fictional materials and course titles. Most readers probably won’t know the difference—or care. More murky is the potential risk in using a private school’s name and staff. Must you be so real? Anybody can sue, forcing you to spend money and time defending yourself, even if their claims ultimately have no legs. Do you want to go down that path? Sure, writers do set stories in private institutions like Yale, using the school’s real name. It depends on how your particular institution feels about its portrayal in your story and how litigious it is when it comes to protecting its “brand.” If the school will get a good or an even portrayal in your book, why not ask its permission? Then you’d have a definitive yes or no. The school might love it! If you don’t want to ask, your safest bet is to fictionalize the elements.