Tri-Rail and Metrorail will drop you off right at the University!
More information to follow. But here is an overview.
The University of Miami is easily accessible from all major airports, and up and down the east coast, by rail.
TRI-RAIL Runs North and South from West Palm Beach to Miami. Get on and head south. You can even catch it at Ft Lauderdale Airport! Transfer at the TRI-RAIL/METRORAIL Transfer Station.
Visit http://www.tri-rail.com for schedules.
From the TRI-RAIL/METRORAIL Transfer Station, Metrorail runs south right to the University of Miami! Also has routes from/to the Miami Airport!
Click here for Metrorail schedules.