You can only show a library DVD in class if the DVD was purchased with Public Performance Rights (PPR), which allows the video to be shown to groups, for example: to students in a classroom or for a campus club or event.
Showing a film that was purchased without Public Performance Rights, even in a classroom, is an infringement of copyright.
Most DVDs owned by the libraries do not have PPR. However, some documentaries, educational videos, and classics do.
These are the type of videos our libraries offer with PPR:
Berkeley also has a large collection of Streaming Videos which have been purchased with a license that allows them to be shown legally in a classroom or embedded in Canvas. Faculty can embed segments of films and create an assignment by adding questions. There is also a number of feature films available to stream or add to Canvas, on the Motion Pictures from SWANK Digital Campus page.
But any DVD that is marked for "home use only" is for private entertainment, and should only be watched in one's home. These films are not licensed to be shown in a classroom, just as you cannot rent a movie from Redbox or Netflix and screen it in a public space.
If you have questions about PPR or requesting a movie with rights for your class, please contact your campus librarian.