Yes and other rules like your country of residence has to be the same as your country of citizenship, you need to prove you have enough cash to survive, etc...
and the one that hurts most:
Visitors for business or tourism cannot work or study in the United States.
You may not receive any check-rides, you may not receive ground tuition, not 18 hours a week, not 1 hour a week, nada.
Plus the risk that they don't approve you to pass the borders because a little something makes you suspicious.(You didn't undergo background checks, so they do it the best they can over there, between the gates and the arrival halls, for hours, while you'll see many visaed people go past you...)