If I studied laplace transforms, fourier analysis, multivariable calculus, differential equations, partial differential equations by 9th grade, does that mean I have talent for math or for physics. Most of the topics I studied are applied mathematics meaning they are mostly applied in the sciences.

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    $\begingroup$ It sounds like you haven't been exposed to enough of either mathematics or physics to decide your preference. I recommend: Pursue both in parallel until your inclinations become clear. Perhaps mathematical physics will become your natural home...? $\endgroup$ – Joseph O'Rourke Jun 8 '17 at 23:15
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    $\begingroup$ I'm new to this community (I mostly live on Computer Science Educators), but are career advice questions really on-topic here? $\endgroup$ – Ben I. Jun 9 '17 at 16:25
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    $\begingroup$ @BenI. I would say 'yes, careers advice questions are off topic'. But whether they are or not, this is too personal to be on topic. $\endgroup$ – Jessica B Jun 11 '17 at 6:06