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At the Uni i went to and was in the Math program we had Calc 1, Calc 1 advanced, Calc 2, and advanced Calc 2, which most of just referred to as Calc 3.
- Calculus I
- Advanced Calculus I
- Calculus II
- Advanced Calculus II
If it would not have been awkward to refer to Adv Calc 1 as Calc 2, I think that would have been the students choice, meaning then we would have had up to Calc 4.
I did all that in 3 semesters.