upisati

1. (someone into a school, club) to enroll; to sign up
   Upisala sam sina u muzičku školu. — I enrolled my son in music school.
   Upisali su je na kurs engleskog. — They signed her up for an English course.
2. (upisati se, upisati fakultet) to enroll; to get into
   Upisao je medicinu u Beogradu. — He got into medical school in Belgrade.
   Upisala se u teretanu pored posla. — She signed up at a gym near her work.
3. to write in; to enter
   Upišite svoje ime i prezime ovde. — Write your first and last name here.
   Pogrešno sam upisao lozinku. — I entered the wrong password.
4. (in an official register) to register; to record
   Stan još nije upisan u katastar. — The flat hasn't been entered in the land register yet.
   Dete je upisano u matičnu knjigu rođenih. — The child has been entered in the register of births.
5. (of a win, points) to record; to chalk up
   Srbija je upisala prvu pobedu na turniru. — Serbia recorded its first win of the tournament.

'To enroll at university' is either upisati fakultet (acc.) or upisati se na fakultet.