Farmingdale State does not have any ABET-accredited engineering majors (although it does have some ABET-accredited engineering technology majors). It has an applied math major, but no pure math major, and pure math upper level courses appear to be limited.
You may want to see how likely admission to CUNY City College is, since it offers several ABET-accredited engineering majors and a greater number of upper level math courses.
You may also want to add more of the SUNY university center campuses.