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Integration in Vector Fields: Notes done in LaTeX

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Department
Mathematics
Course
MATH215
Professor
Bin Han
Semester
Fall

Description
Math215CourseNotesOrdinaryDierentialEquationsMultipleIntegralsandVectorCalculusDarrellAucoinTeacherBinHanDecember222011ContentsS16IntegrationinVectorFields2S161LineIntegrals3Howtoevaluatetheintegralalongagivencurvefds3CBreakingCIntoSmallerCurvesThatAreMoreEasilyEvaluable4ConvertingaCurveIntoItsPolarizedEquivalent4HowtondaparametricequationofacurveC5S162VectorFieldsWorkCirculationandFlux10ContourIntegrals11CurlofF15S163PathIndependencePotentialFunctionsandConservativeFields20HowtocheckwhetherFisconservativeonanopensimplyconnectedregionD21HowtondthepotentialfunctionfforaconservativevectoreldF22S164GreensTheoreminthePlane27GreensTheoremCirculationCurlorTangentialForm27GreensTheoremFluxDivergenceorNormalForm27S165ParametricSurfaces37HowtoconvertaparametricequationrtxtiytjofacurveintoaCartesianequation38HowtoconvertaparametricequationruvxuviyuvjzuvkofasurfaceintoaCartesianequation38S166SurfaceAreaandSurfaceIntegrals41SurfaceIntegralofaVectorField43OftenUsed44Onlyforsphereswithconstantradius45GeneralFormula45S167StokesTheorem58S168TheDivergenceTheorem65MeaningofdivF651S16IntegrationinVectorFields2
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