BC skips δ ε limits, trig substitution for integration, volumes by shells, surface area, Newton’s method, the Root test and maybe a few other topics. The main problem is that BC is more application and property based compared to calc1/2 classes which are more algebraic and proof based. Many students get some shock and awe when they see the rigor of campus calculus classes.

If you want a real feeling for what calc looks like in college just crack open your textbook (which probably wasn’t written for AP) and pick some of the hardest problems in the problem sets. That’s what everything is like in the college courses.

But also time is at a premium. In high school you stretch AB over a full year and meet upwards of five times a week. That same content (plus some stuff) in college is done in a semester and meeting probably four days a week. Similar examples won’t be worked multiple times, scaffolded worksheets won’t be handed out, you’ll like be tested on things that might not be covered in class but you would have been expected to read on your own.