Calculus.tex

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%\renewcommand{\contentsname}{Contents of Calculus I \& II}

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\begin{document}

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\input{text/front_matter_and_cover}

\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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\chapter{Derivatives}\label{chapter:derivatives}
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\addtocontents{toc}{\protect\enlargethispage{4\baselineskip}}

\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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\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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\clearpage{\pagestyle{empty}\cleardoublepage}
\chapter{Applications of Integration}\label{chapter:app_of_int}
\thispagestyle{empty}

\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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\addtocontents{toc}{\protect\thispagestyle{empty}}

\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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\clearpage{\pagestyle{empty}\cleardoublepage}
\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}


\addtocontents{toc}{\protect\clearpage}
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\chapter{Vectors}\label{chapter:vectors}
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\input{text/10_Space_Intro}
\input{text/10_Vector_Introduction}
\input{text/10_Dot_Product}
\input{text/10_Cross_Product}
\input{text/10_Lines}
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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}
\input{text/11_Arc_Length_Parameter_Curvature}

\clearpage{\pagestyle{empty}\cleardoublepage}
\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}


\clearpage{\pagestyle{empty}\cleardoublepage}
\chapter{Vector Analysis}\label{chapter:vector_calc}
\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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