CalculusIV.tex

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% Calc 4: Vector Analysis, etc.
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% ISBN-10:  
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\externaldocument{CalculusIII}
\externaldocument{CalculusII}
\externaldocument{CalculusI}


\input{headers/Page_Size_Calculus}
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	\makeindex


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\begin{document}



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\input{text/title_pageIV}
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%\chapter{Limits}\label{chapter:limits}
%\thispagestyle{empty}
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%\input{text/01_Limit_Introduction}
%\input{text/01_Limit_Definition}
%\input{text/01_Analytic_Limits}
%\input{text/01_One_Sided_Limits}
%\input{text/01_Continuity}
%\input{text/01_Limits_Involving_Infinity}
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%\clearpage{\pagestyle{empty}\cleardoublepage}
%\chapter{Derivatives}\label{chapter:derivatives}
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%\input{text/02_Derivative}
%\input{text/02_Derivative_Meaning}
%\input{text/02_Derivative_Rules}
%\input{text/02_Product_Quotient_Rules}
%\input{text/02_Chain_Rule}
%\input{text/02_Implicit_Differentiation}
%\input{text/02_Derivative_Inverse_Functions}
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%\chapter{The Graphical Behavior of Functions}\label{chapter:graphbehavior}
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%\input{text/03_Extreme_Values}
%\input{text/03_Mean_Value_Theorem}
%\input{text/03_Increasing_Decreasing}
%\input{text/03_Concavity}
%\input{text/03_Curve_Sketching}
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%\chapter{Applications of the Derivative}\label{chapter:deriv_apps}
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%\input{text/04_NewtonsMethod}
%\input{text/04_Related_Rates}
%\input{text/04_Optimization}
%\input{text/04_Differentials}
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%\chapter{Integration}\label{chapter:integration}
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%\input{text/05_Antiderivatives}
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%\input{text/05_Definite_Integral}
%\input{text/05_Riemann_Sums}
%\input{text/05_FTC}
%\input{text/05_Numerical_Integration}
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%\chapter{Techniques of Antidifferentiation}\label{chapter:anti_tech}
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%\input{text/06_Substitution}
%\input{text/06_Int_By_Parts}
%\input{text/06_Trigonometric_Integrals}
%\input{text/06_Trig_Sub}
%\input{text/06_Partial_Fractions}
%\input{text/06_Hyperbolic_Functions}
%\input{text/06_LHopitals_Rule}
%\input{text/06_Improper_Integration}
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%\chapter{Applications of Integration}\label{chapter:app_of_int}
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%\input{text/07_Area_Between_Curves}
%\input{text/07_Disk_Washer_Method}
%\input{text/07_Shell_Method}
%\input{text/07_Arc_Length}
%\input{text/07_Work}
%\input{text/07_Fluid_Force}
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%\chapter{Sequences and Series}\label{chapter:sequences_series}
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%\input{text/08_Sequences}
%\input{text/08_Series}
%\input{text/08_Integral_Comparison_Tests}
%\input{text/08_Ratio_Root_Tests}
%\input{text/08_Alternating_Series}
%\input{text/08_Power_Series}
%\input{text/08_Taylor_Polynomials}
%\input{text/08_Taylor_Series}
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%%\input{text/09_Conic_Sections}
%%\input{text/09_Parametric_Equations}
%%\input{text/09_Parametric_Calculus}
%%\input{text/09_Polar_Intro}
%%\input{text/09_Polar_Calculus}
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%%%%\addtocounter{chapter}{9}
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%%\chapter{Vectors}
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%%\input{text/10_Space_Intro}
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%%\input{text/10_Dot_Product}
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%%\chapter{Vector Valued Functions}\label{chap:vvf}
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%%\input{text/11_Vector_Functions_Intro}
%%\input{text/11_Vector_Functions_Calc}
%%\input{text/11_Vector_Functions_Motion}
%%\input{text/11_Vector_Tangent_Normal}
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%%\chapter{Functions of Several Variables}\label{chap:multi}
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%%\input{text/12_Multivariable_Intro}
%%\input{text/12_Multivariable_Limit}
%%\input{text/12_Partial_Derivatives}
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%%\chapter{Multiple Integration}\label{chapter:mult_int}
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%%\input{text/13_Iterated_Integrals}
%%\input{text/13_Double_Integrals_Volume}
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%%\input{text/13_Center_of_Mass}
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\addtocounter{chapter}{13}
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\clearpage{\pagestyle{empty}\cleardoublepage}
\chapter{Vector Analysis}
\thispagestyle{empty}
\input{text/14_Line_Integral_Intro}
\input{text/14_Vector_Fields}
\input{text/14_Line_Integral_Vector_Fields}
\input{text/14_Line_Integral_Greens_Theorem}
\input{text/14_Parametrized_Surfaces}
\input{text/14_Surface_Integrals}
\input{text/14_Stokes_Divergence}
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\appendix

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\makeexercisesection{Solutions To Selected Problems}

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\end{document}