Overview
Prime Video not permitted on College network.
Issue
Unfortunately, the Amazon Prime Video Terms of Service specifically allows viewing only for personal, non-commercial use only and can't be used for public use or in the classroom.
If you would like to view the Terms of Use for Amazon it is located at: https://www.primevideo.com/help?nodeId=202095490
For your reference, it states:
"Limited License to Digital Content. Subject to payment of any charges to rent, purchase, or access Digital Content, and your compliance with all terms of this Agreement, Amazon grants you a non-exclusive, non-transferable, non-sublicensable, limited license, during the applicable Viewing Period, to access and view the Digital Content in accordance with the Usage Rules, for personal, non-commercial, private use. We may automatically remove Digital Content from your Compatible Device after the end of its Viewing Period."
There are also several websites on the Internet that debate the subject over Streaming. Here is one regarding Netflix, which also applies to Amazon.
http://www.library.unt.edu/news/may-one-stream-netflix-video-class-use which states:
"But, when one signs a license agreement, he or she often gives away certain freedoms, such as copyright exceptions. The Netflix user agreement overtly conveys “the Software is only for your own personal, non-commercial use and not for use in the operation of a business or service bureau, for profit or for the benefit or any other person or entity.” Most copyright attorneys comprehend the phrase “for your own personal… use” as giving away your statutory exceptions to use section 110(1) and even section 107 (fair use). Thus, when one signs a licensing agreement with Netflix, he or she in essence is agreeing to only stream videos in the privacy of his or her own home. Educational entities willingly give away such freedoms often when they sign licensing agreements with various vendors."