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picture1_Calculus Pdf 169322 | Calculodiferencialeintegral2016 Ftrillaudp


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File: Calculus Pdf 169322 | Calculodiferencialeintegral2016 Ftrillaudp
differential and integral calculus frederic trillaud national autonomous university of mexico ftrillaudp pumas ii unam mx february 26 2016 posgrado electrica unam propedeutico 2016 applied mathematics 1 20 introduction theobjective ...

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                           Differential and integral calculus
                                                Frederic Trillaud
                                     National Autonomous University of Mexico
                                            ftrillaudp@pumas.ii.unam.mx
                                              February 26, 2016
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        Posgrado Electrica (UNAM)          Propedeutico 2016 - Applied mathematics                                 1/ 20
   Introduction
    Theobjective is twofold:
           Review the basic material related to differential and integral calculus
           Give the basis to prepare the exam
    It is up to you to get prepared, so review your notes from your undergraduate
    classesandtheguideofappliedmathematicsprovidedbythegraduateschool
    of electrical engineering of the UNAM:
    http://posgrado.electrica.unam.mx/pagina/guiasdeexamenes
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        Posgrado Electrica (UNAM)          Propedeutico 2016 - Applied mathematics                                 2/ 20
   Differential and integral calculus: an
   introduction
    Differential calculus
    Differential calculus is concerned about rate of change (slopes).
    Integral calculus
    Integral calculus is concerned about total (sums).
    Knowingtherateofchangeofafunctionorknowingitssumatanyvalue
    is ”equivalent” (fundamental theorem of calculus).
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        Posgrado Electrica (UNAM)          Propedeutico 2016 - Applied mathematics                                 3/ 20
   Functions
    Definition
    Afunction is a relation between an input and an output where every
    input gets a single unique output
    Whatdowedowithafunction?
    Agoodpractice is to plot a function for which we need to know the
    domain of definition and some properties.
    Anexampleofanelementaryfunction:
                                            f (x) = sin(x), ∀x ∈ R
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        Posgrado Electrica (UNAM)          Propedeutico 2016 - Applied mathematics                                 4/ 20
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...Differential and integral calculus frederic trillaud national autonomous university of mexico ftrillaudp pumas ii unam mx february posgrado electrica propedeutico applied mathematics introduction theobjective is twofold review the basic material related to give basis prepare exam it up you get prepared so your notes from undergraduate classesandtheguideofappliedmathematicsprovidedbythegraduateschool electrical engineering http pagina guiasdeexamenes an concerned about rate change slopes total sums knowingtherateofchangeofafunctionorknowingitssumatanyvalue equivalent fundamental theorem functions denition afunction a relation between input output where every gets single unique whatdowedowithafunction agoodpractice plot function for which we need know domain some properties anexampleofanelementaryfunction f x sin r...

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