@PurpleTitan Yes, agreed but if you learned the material in high school then why take it again in college? Even high schools have different AP calculus courses. There is a AP Calculus AB and an AP Calculus BC at my daughter’s school that are taught at a different pace. AP Calculus BC is suppose to be taught at a faster pace and should cover the curriculum of college calculus 1 and 2 courses. My D is going to OU, which will give Calc 1 credit for a score of of 3 or higher and Calc 1&2 credit for a score of 5 on the AP BC test. We are trying to guess what her AP score will be and then decide which calc course to take…so this post is very timely for us.
@ucbalumnus I have first hand experience with colleges teaching calculus different. As a freshman, I signed up for the honors calculus class. As the professor went into proving theorems, I quickly realized I was overmatched. It was also a 3 semester in 2 semester class like @PurpleTitan described above, but the pace wasn’t my issue, it was that I wasn’t prepared to learn math in that way (needed to stick with doing short practice problems instead of 10 page proofs!). After a couple of lectures, I asked to be moved to regular calculus classes. Theoretically, I was in the honors calculus I class, but in reality everyone in that class already had significantly more calculus knowledge than me even though I took a year of HS calculus.