review.tex

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\lhead{Bill Li}
\rhead{Partial Differential Equations}
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\begin{document}

\begin{center}
    {\Large \textbf{Math 126 Midterm Review Cheat-Sheet}}
\end{center}
\section{Where PDEs Come From}
\subsection{What is a partial differential Equation?}
\subsection{First Order Linear Equation}
\subsection{Flows Vibrations, and Diffusions}
\subsection{Initial and Boundary Conditions}
\subsection{Well-Posed Problems}
\section{Waves and Diffusions}
\subsection{The Wave Equation}
\subsection{Causality and Energy}
\subsection{The Diffusion Equation}
\subsection{Diffusion on the Whole Line}
\section{Reflection and Sources}
\subsection{Diffusion on the Half-Line}
\subsection{Reflection of Waves}
\subsection{Diffusion with a Source}
\subsection{Waves with a Source}
\section{Boundary Problems}
\subsection{Separation of Variables, The Dirichlet Condition}
\subsection{The Neumann Condition}
\section{Fourier Series}
\subsection{The Coefficients}
\subsection{Even, Odd, Periodic, and Complex Functions}
\subsection{Orthogonality and General Fourier Series}
\subsection{Completeness}
\subsection{Completeness and the Gibbs Phenomenon}
\end{document}