\relax 
\providecommand\tcolorbox@label[2]{}
\@writefile{toc}{\contentsline {section}{\numberline {1}The predator-prey ODE system}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Our data {\tt  {y0}}, {\tt  {y}}, and {\tt  {dydt}} are now row and column vectors!}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}{\it  {predator\_deriv.m}} evaluates the predator/prey right hand side}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}predator\_deriv evaluates the predator ODE right hand side.}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {4}{\it  {euler.m}} must handle ODE systems now}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}euler.m: Euler code modifed to handle systems of ODEs.}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}{\it  {predator\_euler.m}} applies Euler method to predator ODE}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}predator\_euler.m solves and plots.}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {6}{\it  {predator\_euler\_phase.m}} displays the phase plane solution}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}predator\_euler\_phase.m solves and plots phase plane.}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {7}The Predator ODE has a conserved quantity}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {8}{\it  {predator\_euler\_conservation.m}} displays $C(t)$}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}predator\_euler\_conservation.m plots C(t).}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Homework \#3}{6}}