UMich Honors vs. Berkeley vs. UCLA for pure math major

Hardly. Arts and humanities courses at all three universities are extremely similar. There is a sufficiently wide variety of courses available that I think it’s unlikely you wouldn’t find enough interesting classes. If anything, it’s likely that you’ll struggle trying to decide between all of the interesting classes available!

The academic calendar is the primary academic difference between these universities. Berkeley and Michigan are on the semester system, whereas UCLA is on the quarter system. Students at UCLA take more courses each year, but each course generally goes a bit faster and covers fewer topics than the courses at semester schools.

You can’t go wrong with any of these schools. It’s fine to choose based on non-academic factors like weather, athletics, school spirit, etc.