I generally think it should be taught along calc 3 (advanced integration and differential equations), as there's decent conceptual overlap and basic calculus helps weed out those who might not be ready for a more rigorous course.

Also to clarify wrt calculus, it is very common for university-track students to take AP calculus in high school, which allows them to take an examination that most universities accept to prove mastery of the equivalent to calc 1 or calc 1+2 depending on the examination.