I want to do something like:
DELETE FROM student WHERE
student.course, student.major IN
(SELECT schedule.course, schedule.major FROM schedule)
Note that if any attributes are null, the row's considered not IN. That is, if courses are equal and both student and schedule major are null, row will not be deleted.
If an attribute, such as major, may be null, and you want null = null to be true, try:
DELETE
FROM student
WHERE (student.course, NVL(student.major,'sOmeStRinG') )
IN (SELECT schedule.course, NVL(schedule.major,'sOmeStRinG') FROM schedule)