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.
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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.