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\@writefile{toc}{\contentsline {section}{\numberline {1}The Midpoint Method ``improves'' Backward Euler}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}{\it  {stiff\_midpoint\_explicit()}}: The Midpoint Method for a Linear ODE}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}midpoint\_explicit.m solves the stiff problem.}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3} {\it  {midpoint()}}: A general midpoint solver using {\it  {fsolve()}} }{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Signature for the midpoint ODE solver.}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Text of midpoint.m}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Code to evaluate the midpoint residual.}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {4}{\it  {stiff\_midpoint()}} repeats our computation}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {5}{\it  {quadex\_midpoint()}} handles the QUADEX ODE}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {6}The Degree of Accuracy}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {7}The Midpoint Method and Research Questions}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {8} {\it  {ode45()}}: MATLAB's ODE Solver}{7}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Homework \#9}{8}}