\section{Wave and Laplace Equations}
\label{ch:wave_and_laplace}

\subsection{Wave Equation Derivation}
\label{sec:ch13_wave_derivation}

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\subsection{d'Alembert's Solution}
\label{sec:ch13_dalembert}

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\subsection{Finite String and Standing Waves}
\label{sec:ch13_finite_string}

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\subsection{Two-Dimensional Wave Equation}
\label{sec:ch13_2d_wave}

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\subsection{Laplace's Equation in Rectangles}
\label{sec:ch13_laplace_rectangles}

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\subsection{Laplace's Equation in Polar Coordinates}
\label{sec:ch13_laplace_polar}

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\subsection{Summary}
\label{sec:ch13_summary}

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\begin{table}[htbp]
\centering
\caption{Chapter Summary}
\label{tab:ch13_summary}
\begin{tabular}{l l}
\toprule
\textbf{Concept} & \textbf{Key Formula/Method} \\
\midrule
TBD & TBD \\
\bottomrule
\end{tabular}
\end{table}