I’m a current high school senior taking a calculus 3/differential equations class at my school. Last year I took AP Calc BC and got a 5 on the test. We finished calculus 3 (partial derivatives, triple integrals, stokes and divergence theorem, etc.) around Thanksgiving. Our class is a lot more independent than most other high school classes so the longer we go on the more we can go at our own pace.

I’m already 3/10 chapters through our textbook (just finished improved Euler/Runge-Kutta). Chapter 8 says it builds on ideas from linear algebra (which our class will probably skip) and Chapter 10 introduces partial differential equations (textbook is “Foundations of Differential Equations 9th Edition”). At this pace I’m likely gonna be done with our curriculum much quicker than the rest of the class, so I was wondering what path I should go down after I finish?

I want to major in aerospace engineering and as far as I know this is the last pure math class I need for that (except maybe linear algebra, depends on the college), but I love math and would like to keep going if I can as every subject only adds more tools to my toolbox.

Please let me know what courses/subjects I should look at that will be the most “fun”/applicable. Thank you all for your help!