An advanced high school senior in the US will take Calculus 1. An advanced high school senior in the US might take Calculus 2. (Yes, I am intentionally implying that taking calculus is what defines a student as advanced.)
My high school don't go beyond Calculus 1 (edit to add: this was two semesters and covered differentiation and integration).
That was years ago (pre-internet) and if a student wanted to take other college-level math they were released to take it at the local university campus. Today, I guess online classes are an option.
Calc 1 (Calc AB) is basic derivatives and integration without too many frills. Calc 2 (Calc BC) adds advanced integration (by parts, partial fractions, etc), L’Hopital’s rule and indeterminate forms, coordinate transforms, and basic Taylor Series.