# Differences

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 — freshmanfifty [2016/05/23 23:07] (current) Line 1: Line 1: + ====== The Freshman Fifty ====== + + A collection of the top fifty //​conceptual//​ errors that can plague the beginning mathematics student. + + - [[.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