\relax 
\providecommand\tcolorbox@label[2]{}
\@writefile{toc}{\contentsline {section}{\numberline {1}An estimate using one trapezoid}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Example: Does the error drop cubically with interval size?}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Output from decrease\_h.m}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Estimate the error using two trapezoids}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Example: Estimating the error}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Output from t2\_minus\_t1.m}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Using $n$ trapezoids}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Exercise: A Composite trapezoid rule}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Pseudocode for T8 quadrature of hump().}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Exercise: A Sequence of composite trapezoid rules}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Pseudocode for sequence of trapezoid quadratures of hump().}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}First three results for hump\_trap.m.}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {8}An algorithm for adaptive integral estimation}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Pseudocode for adaptive trapezoid quadrature}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {10}Example: Adaptive quadrature of {\it  {hump()}} over [0,2]}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Output from hump\_adapt.m}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {11}Assignment \#7}{6}}