@Dolemite : Yes, very top schools treat those who want the extra challenge from the very start of their career VERY well by providing tons of more rigorous options across many disciplines. I applaud your daughter for challenging herself that way or at least trying it out. She will get very good training. Even the folks who maybe only do it for a year will. I am not entirely sure, but seems like many private schools (research Universities at least) outside of the top 10-12 schools are less effective with catering to the very top talent (outside of math curricula. Basically all top public and privates seem to offer some honors math sequence for extremely well prepared students, but often the schools I allude to fail to tier and offer such courses in the life sciences like chemistry and biology. My guess is that if most did not have engineering schools, physics would have less tiering as well) though some do have an abundance of instructors who ramp up the intensity (I mean good intensity, high level thinking, not "memorize 1 million things from slide and regurgitate) for the “masses”, allowing for self-selection (especially in multi-section STEM courses) of those who want the extra training. Though to be fair, it seems like the issue isn’t more so a lack of “eliteness” at said schools, and perhaps more so a lack of faculty resources or money, something most top 10-12 schools and large public schools (who also have lots of tiering, honors courses, and special programs for very top freshmen) are hardly short on.