Best Soph/Junior/Senior math progression for non-engineer

A 10th grader in honors precalculus who is doing well and enjoys the class is typically a top student in math who should be able to handle calculus BC with little trouble (will probably see it as an easy A and easy 5 on the AP test).

Typical math requirements in college:

Biology or environmental science: calculus (often a year), often also statistics
Economics (not pre-PhD): calculus (often a year), statistics (a few schools require more math)
Economics (pre-PhD): calculus, multivariable calculus, linear algebra, real analysis, calculus-based probability theory, etc…