Set in Chicago, but Detroit's RenCen appears outside of Kyle's apartment.
In the beginning of the film, Lola says her nickname is Lol and that everyone calls her that, but throughout the course of the film, nobody calls her Lol - only Lola.
At around 09 mins, in a math class, the teacher is talking about inverse functions and then says, "First, to find the range for f, we must solve for the inverse of f to the negative first power." Inverse functions are not found by raising a functions to a power (even the negative first power). While notation looks similar, a real math teacher would know the difference in terminology.