Everything looks good with a few exceptions. They are limiting the child care with the rationale of it being a school. All activity courses and events (sports) including intramural sports then later in their guidelines they say you can carry at an intramural game.

And the big kicker:
13. Other areas where handguns are not permitted:
A. Where alcohol is served at events held on DMC property.
B. Any DMC property that is rented on a temporary basis by outside entities.
C. Any locations where the college, as directed or approved by the president as necessary for campus safety, gives effective notice on a temporary basis pursuant to Section 30.06, Penal Code. For this rule, the term “owner of the property” in Section 30.06(b), Penal Code, means the president of the college. No college employee is “someone with apparent authority to act for the owner” for purposes of Section 30.06(b), Penal Code. All notices under Section 30.06, Penal Code, will be institutional notice, conform to Sections 46.03 and 46.035, Penal Code, and apply equally to all handgun license holders.
Not sure how leasing a building (thinking auditorium but could be others) allows them to prohibit carry. And the necessary for campus safety seems to be a blanket excuse IMO to post.
Any opinions on if they are inline with the law?