Factual error: At Professor Jennings' place, the stoned Boon and Katy sing "Hey Paula." The song was only pressed in November 1962 and didn't break into the charts nationally until late December of that year, whereas the scene depicted takes place sometime in the autumn of the same year, before the song would've even been recorded.
Continuity mistake: In the scene where Otter and Boon are hitting golf balls near the ROTC drills, Otter puts down the golf bag he is carrying and draws a club. The camera moves to the ROTC trainees, and when it comes back to the golfers, the bag is back on Otter's shoulder and there is no club out of the bag.
Continuity mistake: In the scene where Otter is making out with Shelly from Dickinson college, in the back of the car she is clearly shown with her bra off, and it his hanging on her right arm by one strap. When the guys come running out of the club seconds later to make their escape, Shelly is shown jumping out of the car and diving through the window of the car parked next to it, but her bra is now on and hooked as if it hadn't been removed yet.
Continuity mistake: Before the hearing, Katy and Boone are talking at the bottom (half) of a stairwell when Otter comes down with a briefcase in his right hand and he puts his left hand on Boone's shoulder. In the next shot the briefcase is now in his left hand with his right hand on Boone.