I am a high school senior seriously interested in mathematics (and physics, and chemistry, but that's beside the point). I am wondering what would be the best path for me to learn involving mathematics now that the AP Calculus test is over (I don't want to have to wait until September to continue...). So, now that I've learned the material in AP Calculus BC, where do I go from here? FWIW, AP Calculus BC taught me differentiation, including implicit, integration, the methods of which included intuition, parts, substitution, and partial fractions, infinite sequences and series including Taylor and Maclaurin series, and finally an introduction to vectors, parametrics, and polars. I'm also using Khan Academy to teach myself the basics of Differential Equations (It's not really that much harder than calculus was, really). Any thoughts?