\part{Fundamentals}

\chapter{Functions}

\section{Real function}
\subsection{Continuous function}
\section{Tangent}
\section{Real sequence}
\subsection{Series}

\chapter{Differentiation}

\section{Limits}
\section{Derivative}
\subsection{Linearity of derivative}
\subsection{Product rule}
\subsection{Chain rule}
\subsection{Quotient rule}

\subsection{Table of derivatives}


\section{Tangent line}

We now study a useful application of the derivative; the tangent line of a function at a point.


\section{First derivative test}
\section{Second derivative test}



\chapter{Integration}

\section{Antiderivative}
\section{Integral}
\subsection{Riemann sum}
\section{Fundamental theorem of calculus}
\subsection{Linearity of the integral}
\subsection{Reverse chain rule}
\subsection{Reverse product rule}
\section{Integration techniques}