Prestigious University A: More classes pr. semester, quizzes/homework every weekend. Cheating was rampant - and well known. It was aptly called "cooking", as in "cooking the books".
The classes usually had established lecturers, who'd done the same classes for YEARS, and often re-using the problem sets over and over again. Students would compile a compendium of these problem sets + answers, and hand them down to the next class.
I think the cheating was simply a result of the heavy workload. Students would have 4 problem sets to solve every weekend, and then lab work, project work, and what not. These were smart kids to begin with, as getting admitted to the Uni. was a feat in itself - but there's just so much time.
Regular University B: This Uni. followed a much more "traditional" sciences program. You'd get the syllabus on first or second lecture, the due dates to 1-3 assignments, and date for final exam. Sometimes it was only a home-exam + final exam. Also fewer, but more in-depth classes.
The assignments were much more involved, and each would probably take 2-4 weeks to finish. But cheating was much less common.