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...Apma e multivariable calculus for engineers syllabus fall instructor drew c youngren ph d mail dcy columbia edu oce s w mudd rm hours m lecture section day time location tr am fayerweather hall pm hamilton recitation in addition to the lectures you must also register one of sections below r tba ext schermerhorn f northwest corner building course description is a third semester students who have previously been introduced basic ideas dierential and integral this we will take concepts single variable calc i ii look at their generalizations functions two or three variables topics include vectors curves space several partial derivatives gradients multiple integrals dierent coordinate systems vector theorems stokes gauss green material up has applications physics chemistry biology environ mental science astronomy economics statistics just about everything else want leave not only with computational ability but use these notions natural scientic contexts an appreciation mathematical beauty p...