skeleton: 14 chapter stubs and 4 appendices

chapters/ch12_heat_equation.tex

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+\section{Heat Equation}
+\label{ch:heat_equation}
+
+\subsection{Physical Derivation}
+\label{sec:ch12_physical_derivation}
+
+% Content goes here
+
+\subsection{Separation of Variables}
+\label{sec:ch12_separation_of_variables}
+
+% Content goes here
+
+\subsection{Dirichlet Boundary Conditions}
+\label{sec:ch12_dirichlet}
+
+% Content goes here
+
+\subsection{Neumann Boundary Conditions}
+\label{sec:ch12_neumann}
+
+% Content goes here
+
+\subsection{Steady-State Solution}
+\label{sec:ch12_steady_state}
+
+% Content goes here
+
+\subsection{Source Terms}
+\label{sec:ch12_source_terms}
+
+% Content goes here
+
+\subsection{Summary}
+\label{sec:ch12_summary}
+
+% Summary table at end of chapter
+\begin{table}[htbp]
+\centering
+\caption{Chapter Summary}
+\label{tab:ch12_summary}
+\begin{tabular}{l l}
+\toprule
+\textbf{Concept} & \textbf{Key Formula/Method} \\
+\midrule
+TBD & TBD \\
+\bottomrule
+\end{tabular}
+\end{table}