\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}A differential equation}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}{\it {humps\_deriv.m}}: the derivative function}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Outline of the derivative function humps\_deriv.m.}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}You can use a triple period to break a long line.}{2}} \@writefile{toc}{\contentsline {section}{\numberline {4}{\it {euler.m}}: approximate ODE solver}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Outline of the general ODE solver euler.m.}{3}} \@writefile{toc}{\contentsline {section}{\numberline {5}Filling in the details}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {4}The initialization commands for euler.m}{3}} \@writefile{toc}{\contentsline {section}{\numberline {6}Use the solver and the derivative functions to make an estimate}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Try 10 steps from 0 to 2.}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Output from a 10 step run.}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {7}Plotting your data.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {7}{\it {euler\_humps.m}}: Collecting commands into a script}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {8}Script version 1.}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {9}Script version 2.}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {10}Run the script.}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {11}Script version 3.}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {12}Script version 4.}{5}} \@writefile{toc}{\contentsline {section}{\numberline {8}Homework \#1}{6}}