The Integral Program is based on the Great Books Program at St. John's College. It's a 4 your course, and Integral Program is your major. You have to start the program as a freshman as it is sequential in nature. No exams, it's tons of reading, discussion and essay writing. Did you find this link?
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Also, if you look up the St. John's website (either Santa Fe or Annapolis), you can get a good idea of what a great books program is all about.
Don't know anything about the Honors Program, the freshman I know who entered with honors a couple years ago took additional classes and lived in the honors dorm, which does offer some additional activities and lectures.
