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BillyBones

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I am currently a High School Senior who has completed Multivariable Calc (up to stokes theorem), basic Linear Algebra ( up to eigenvalues/vectors) and non-theory based ODE (up to Laplace transforms) at my local University. (All with A's) I am hell bent on taking either one of the courses mentioned above, but am bewildered by the contrasting answers I have seen regarding the prereqs. Am I adequately prepared, or will some other classes like topology be necessary?

Thanks