[Hamilton] Is anyone familiar with this model?

I received a Texas A&M branded Hamilton watch as a present and am looking for info about the age and maybe movement model of the watch. The back side has been ground flat so it has no discernable markings.

Around the engraved logo are the words "AGRICULTURAL AND MECHANICAL COLLEGE OF TEXAS", which was the original name of the university before it changed it in 1963. So I believe it must be at least that old.