How can I continue my mathematics education in a rigorous and respectable way?
My school has about 830 students
My grades are strong and I take mostly AP Classes
I will graduate in 2022 (Upcoming Junior)
I studied mathematics independently since the 6th grade and I have surpassed the highest math classes available at my school. As a freshman, I took AP Calc BC and sophomore year I took an independent Multivariable Calculus course through Johns Hopkins gifted and talented program. This summer I learned that most colleges don't give much credence to such programs. As such, I would appreciate any suggestions for continuing my mathematics education in a rigorous manner. I would like to learn about linear algebra, differential equations, and real and complex analysis. Any suggestions are greatly appreciated; thank you!
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So my highschool is one of the best in state in a fairly big city so it may not be available to you but in my city we have an off shoot of the main state university. I will not name my state for privacy sakes but think State U at x is flagship mine is State U at y. North Carolina and many other states have similiar programs. (Milwaukee and Madison, Chappel Hill and Asheville)
They may offer dual enrollment essentially you take college classes at the state school not a community college. They will likely have expanded offerings and some flagships may offer it. It is worth a look in my opinion.
Hope this helps and please comment if you need clarification as I’d be happy to help clarify! Sorry I couldn’t provide more help.