\relax 
\providecommand\tcolorbox@label[2]{}
\@writefile{toc}{\contentsline {section}{\numberline {1}Euler's method}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Example: Approximate solution of $y'= 2t-2$}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Specifying the data for the quadratic problem.}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}A general Euler code.}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}The derivative code for the quadratic problem.}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {3}MATLAB conventions for ODE's}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Exercise: A problem with quadratic solution}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Some test problems}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Handling a system of first order ODE's}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Handling a second order ODE}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Example: Nonlinear pendulum}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {9}The Backward Euler method}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {10} Computing Assignment \#10}{7}}