I was a student that skipped high school and went straight into my local college curriculum. It actually worked out great in my case, albeit largely because I c

I was a student that skipped high school and went straight into my local college curriculum. It actually worked out great in my case, albeit largely because I chanced across several high quality instructors that were able to challenge me. I am glad I followed the curriculum as well, though. In the end, you'll need to take calculus (et al) at some point, and taking it as soon as possible meant that it could help form my mind earlier, and allowed me to progress beyond even sooner. Specifically, I followed the sequence: differential calculus, integral calculus, multivariate calculus, differential equations, and linear algebra (and then I transferred to Berkeley's math program). That's a lot for a young mind to soak in, and the type of student these classes select for make an excellent social environment as well (inevitably, the type that likes learning). If I were to make a recommendation between following the curriculum, and pursuing extra-curriculars, I'd say: do both.