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>And should calculus even be treated independently of classical mechanics?

Thank you. The value of calculus didn't really click for me until the next year in physics, at which point I wished I had paid more attention.

It's really unfortunate that you first have to drill high-speed high-precision symbol manipulation, devoid of any meaning, for so long before getting any indication of why you'd want to be able to do it.

I like Lockhart's analogy: mastering musical notation, transposition, etc. before being allowed to play your first note.

https://www.maa.org/external_archive/devlin/LockhartsLament....



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