We here at Hopkins give Advanced Placement credits for our calculus courses depending on the score one receives on the AP exams, offered in May of each year. The results come out in July. We give 8 total credits for Calculus I and Calculus II (a full year's worth) for a score on the BC-level exam of 4 or 5 (out of 5), and 4 total credits for Calculus I for a BC-level score of 3, or an AB-level score of 4 or 5 (again, out of 5).
Roughly speaking, the AB-level coincides with Calculus I and BC with Calculus II.
Well.... One of our own, Professor Stephen Wilson, performed a AP score verses grade in the next level course analysis which wound up being quite insightful. It turns out that getting a BC score of 5 is a good indication that the student is prepared to go directly to Calculus III. However, a BC score of 4 may not be. Almost no student who took Calculus III and brought in a BC score of 4 got an A in the class. Likewise, almost no student who brought in an AB score of 4 got an A in Calculus II (the logical next step).
It may be the case that not getting full marks on the AP exams means it is better to step back and re-evaluate the idea that you are really ready for the next level. We will certainly be keeping an eye on this over the next year or so. I thought I would put this out there now.
Advising must be a careful business, no?