CMU is a conservatory, not a BA theater program, which I think the the OP is looking for.
A conservatory or BFA like CMU or NYU typically offers intensive pre-professional training in a specific discipline of theater (directing, acting, tech etc…); whereas, a BA program like Yale or Vassar typically offers a broad based study of theater as a branch of the humanities. Here is a good article explaining the differences between the two types of programs:
http://yaledailynews.com/blog/2012/04/23/up-close-for-thespians-yale-degree-not-enough/