AP calculus AB typically counts for first semester single variable calculus (calculus 1), while AP calculus BC typically counts for first and second semester single variable calculus (calculus 1 and 2).
It would be a good idea for a student with AP calculus credit to try the college’s old final exams for calculus 1 and 2 to check his/her knowledge in order to choose the correct placement in math courses (or review any minor gaps in knowledge). A student with AP calculus BC credit can often start in calculus 3 if s/he knows the calculus 1 and 2 material well.