Continuity mistake: Rachael leaves the party with one hairdo, and arrives at Cassandra's place a few minutes later with a completely different one.
Plot hole: The psycho coed murders her lecherous professor (played by William Shatner) by pushing him out a window. In the very next scene, she's driving around with his body propped up in the passenger seat of her car. She weighed no more than 100 lbs., tops, and Shatner was easily at least 250 when this film was made. No way she could have dragged him to her car and lifted his dead weight into the seat, no matter how much adrenalin she was pumped with. Physically impossible.
Continuity mistake: When Eric first asks Rachael about herself, his exact words are, "If you could be anyone in the world, except yourself, who would that be?" with varying dramatic pauses, but in the end his flashback says "If you could be anyone in the world besides yourself, who would that be?" with only a slight pause. (00:26:00 - 01:21:00)
Continuity mistake: During the car chase the number of water droplets on the rear window of Rachel's car changes between shots. In shots from inside the window is completely blocked, but when she parks the car the window is clear.
Continuity mistake: At the classroom scene when William Shatner spells out "nicknames" on the chalk board, he puts an underline under it, and it goes from short to long then short again, then to a question mark, and to short again with a curved end.