\relax 
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\@writefile{toc}{\contentsline {section}{\numberline {1}Backward Euler is the simplest implicit solver}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}The linear system for the implicit heat equation}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Exercise \#1: Backward Euler solver}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}The code for setting up the linear system.}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Replace Neumann condition by symmetry condition}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Exercise \#2: Replace Neumann condition by symmetry}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {6}The Crank Nicolson method}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Exercise \#3: A Crank Nicolson Solver}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Statements that define the linear system.}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Exercise \#4: Crank Nicolson + symmetry condition}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Replacing the Neumann boundary by symmetry.}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {9}The Theta Method}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {10}Homework: Implement the Theta Method}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Your function should accept $\theta $ as a parameter.}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Where to change from 1/2 to theta or (1-theta).}{7}}