CalculusIII.tex

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% June 4, 2015, CreateSpace ISBN created
% ISBN-13: 978-1514225158 
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% ISBN-10: 1514225158 
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\makeindex

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\begin{document}
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\input{text/front_matter_and_coverIII}


%\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}
%\thispagestyle{empty}
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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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%\clearpage{\pagestyle{empty}\cleardoublepage}
%\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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%%\addtocontents{toc}{\protect\textbf{(Calculus II begins here)}\protect\par}
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%\clearpage{\pagestyle{empty}\cleardoublepage}
%\chapter{Integration}\label{chapter:integration}
%\thispagestyle{empty}
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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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%%%%\addtocounter{chapter}{6}
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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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%%%%\addtocounter{chapter}{7}
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%\chapter{Sequences and Series}\label{chapter:sequences_series}
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%\input{text/08_Sequences}
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%\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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\addtocounter{page}{496}
\addtocounter{chapter}{8}
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\chapter{Curves in the Plane}\label{chapter:planar_curves}
\thispagestyle{empty}

\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}\label{chapter:vectors}
\thispagestyle{empty}
\input{text/10_Space_Intro}
\input{text/10_Vector_Introduction}
\input{text/10_Dot_Product}
\input{text/10_Cross_Product}
\input{text/10_Lines}
\input{text/10_Planes}


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\addtocontents{toc}{\protect\enlargethispage{7\baselineskip}}

%%%\addtocounter{chapter}{10}
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\chapter{Vector Valued Functions}\label{chap:vvf}
\thispagestyle{empty}
\input{text/11_Vector_Functions_Intro}
\input{text/11_Vector_Functions_Calc}
\input{text/11_Vector_Functions_Motion}
\input{text/11_Vector_Tangent_Normal}
\input{text/11_Arc_Length_Parameter_Curvature}

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\chapter{Functions of Several Variables}\label{chapter:multi}
\thispagestyle{empty}
\input{text/12_Multivariable_Intro}
\input{text/12_Multivariable_Limit}
\input{text/12_Partial_Derivatives}
\input{text/12_Total_Differential}
\input{text/12_Multivariable_Chain_Rule}
\input{text/12_Directional_Derivatives}
\input{text/12_Tangent_Planes_Lines}
\input{text/12_Extrema}

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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}
\input{text/13_Double_Integrals_Polar}
\input{text/13_Center_of_Mass}
\input{text/13_Surface_Area}
\input{text/13_Triple_Integration}
\input{text/13_Cylindrical_Spherical}

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\chapter{Vector Analysis}\label{chapter:vector_calc}
\thispagestyle{empty}
\input{text/14_Line_Integral_Intro}
\input{text/14_Vector_Fields}
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\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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