Math classes after AP Calculus BC?

I’m planning on taking AP Calculus BC next year(as a sophomore) and my school offers multivariable calculus as a year long course(highest course possible at my school), but I’d rather take it at a local community college because it would only be a semester and my school’s class does not have college credit attached. I know that there is linear algebra, discrete mathematics and differential equations but I would most likely finish those either my junior year or 1st semester of senior year. I was just wondering what math classes might come next? Also, if this is relevant information, I am thinking about majoring in pure mathematics. Thank you in advance.

Yeah, take it at your local cc assuming it give you college credit for it. If you are doing pure math, you can do linear algebra, multi calc, or diffeq. Take the one with the easier professor.

There are lots of options. At my university, you would be eligible for almost every upper-level math class, including several graduate classes. I would especially recommend abstract algebra, number theory, and/or an introductory real analysis class (sometimes called advanced calculus, depending on the school). However, you won’t find classes like this at a community college. Do you have the option of taking classes at a nearby university?

Graduate classes?! I sure wasn’t expecting that. Thanks for the class ideas, and there is a nearby university which probably has all of these class but I’m not sure if I had ether option of taking classes there. I’ll be sure to take those classes when the time comes. Thanks!

@mathgeek12345 I was in a similar situation – AP Calc BC as a sophomore, school offers year-long MVC. I ended up taking both MVC at school and other math at a local U (Linear Algebra 1st semester, a grad level class 2nd).
Definitely look into the policies of your high school, the university near you, and your state. I’m was able to take my college math classes without permission from my high school (i.e. as a non-matriculated, non-degree seeking student paying by the credit).
If the university offers honors math classes, try to get into one! My Linear Algebra class was almost entirely plug-and-chug computation, since it was, in the end, geared toward engineers rather than math students. Honors versions of the next section of classes (Linear Algebra, Differential Equations, and Multivariable Calculus) will likely be more interesting and more challenging, since they’ll cover more material faster.
I’d recommend taking a class that will teach proofs at some point in HS if you think that you’re interested in pursuing math in the future.
Feel free to PM me if you have other questions or are looking for opportunities should your local university not work out!