outline

Here an outline is a thing that consists of a page or several pages; a course outline is a piece or several pieces of paper telling you what you are going to learn in this course. An outline will tell the students what chapters of a story will be talked about by the teacher in a particular lesson. Could I use on?

-You ought to flip through the chapters __ the outline. (=the chapters that the outline tells you to read)

To me, on sounds wrong, because though we are talking about things on the paper, I think in is the only correct word. But I know prepositions have UK/US difference; eg in the course (UK), on the course (US); which makes me all the more unsure.