Judging from the summer vacation courses given by the mathematics department of Harvard University, the contents of AP calculus AB and BC are equivalent to the mathematics MATH 1a and MATH 1b courses given by the mathematics department of Harvard University.
Duke University basically accepts all AP scores, and general subjects need 4-5 points. 3 points for individual difficult subjects is also acceptable. Duke University is very cautious about whether to exchange AP scores for credits. It is necessary to check whether the AP course completely includes the courses set by the university, and students need to apply for it themselves. The description of calculus course is:
The transfer policy of mathematics courses is as follows. No credits will be awarded for any pre-calculus course. For calculus course, this course must be conducted in the normal order leading to advanced multivariable calculus (that is, this course must be a prerequisite for multivariate calculus course in your school).
(The policy of transferring mathematics courses to credits is as follows. There is no calculus prerequisite course to change credits. Calculus course, students need to attend classes normally to prepare for multivariate calculus. In other words, some courses can be directly exchanged for credits, and some AP courses just become the basis for the student to attend higher-level courses in the university. For example, AP can score 5 points in AB calculus directly on MATH32, and BC can score 5 points directly on MATH 103.
Notre Dame University accepts all AP courses, generally 4-5 points. Notre Dame University is very clear about the credit transfer of AP courses. You can know how many credits you can exchange by comparing the following table. However, when choosing the AP exam, you should think about what major you want to apply for in the future. Of course, you should apply for similar subjects to register for AP exam, so that you will change more credits in the future. More importantly, you should be familiar with and adapt to the course in advance. We can see that AP calculus AB and BC can be exchanged for credits, and BC4-5 can get 8 credits. If each credit is $600, you can save $4,800 in tuition.
New york University recognizes most AP scores, except English, and only accepts AP 4-5. Each AP subject can be converted into about 3-8 credits. The general course is divided into several volumes or classes. Choose the most suitable, and students can choose courses flexibly.
The above is the answer and introduction of which AP courses can be taken by American undergraduate mathematics majors in exchange for credits, which will certainly be helpful to students who intend to apply for American undergraduate mathematics majors.