After Senor Chang asks the class to leave, Annie is shown leaving with her books, but with the recorder behind. In the next shot her books are on her desk with the recorder propped on them.
When Señor Chang and Jeff are talking about a fake degree, Jeff's expression changes between shots.
Jeff and Abed identify Jeff's Lexus as a 2002 model. The Lexus in question is a second generation IS, which began production in 2005.
Doctora Escodera (Marlene Forte) speaks literally from English translation; e.g. saying "Doctora" instead of "La doctora" or saying "Falla el exámen" (Fail the exam) instead of "Reprueba el exámen".