What is correct grammar---faculty has or faculty have?

It depends on whether you are referring to the faculty as a group or as individuals.

* Faculty as a group: "The faculty has decided to hold a special seminar." (Here, "faculty" is singular, referring to the group as a whole.)

* Faculty as individuals: "The faculty have submitted their syllabuses." (Here, "faculty" is plural, referring to individual members of the group.)

Think of it like this: "Faculty" can act as a collective noun, much like "team" or "committee".