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+ | ====== The Freshman Fifty ====== | ||

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+ | A collection of the top fifty //conceptual// errors that can plague the beginning mathematics student. | ||

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+ | - [[.freshmanfifty:sepdiff|It's okay to treat $dy/dx$ as a fraction]] | ||

+ | - [[.freshmanfifty:exactapprox|The phrase 'rigorous approximation' is an oxymoron]] | ||

+ | - [[.freshmanfifty:quintic|Why is there is no quintic formula?]] | ||

+ | - [[.freshmanfifty:order|If $x = 50$, is $x = \mathcal{O}(1)$, $x = \mathcal{O}(10)$, or $x = \mathcal{O}(100)$?]] | ||

+ | - What is the geometric interpretation of the Jacobian? | ||

+ | - Analytic is the same as infinite differentiability | ||