\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}Gauss Quadrature Rules}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}Exercise: Verify properties of Gauss Rules}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}gauss\_properties.m}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}Example: Integrate quartic() over $[-1,+1]$}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Two-point Gauss quadrature integral estimate.}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}quartic\_gauss\_m1p1.m}{3}} \@writefile{toc}{\contentsline {section}{\numberline {4}Example: Remapping a Gauss Rule}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {4}gauss\_ab returns a Gauss rule for a general interval.}{3}} \@writefile{toc}{\contentsline {section}{\numberline {5}Exercise: Integrate quartic() over $[2,5]$}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Estimate the integral of a quartic polynomial over a general interval.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {6}Exercise: Integrate $e^{-x^2}$ over $[0,b]$}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Estimating an exponential integral.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {7}Example: Estimate the quadrature error for $\text {hump}(x)$ over $[0,2]$}{4}} \@writefile{toc}{\contentsline {section}{\numberline {8}A composite Gauss rule}{5}} \@writefile{toc}{\contentsline {section}{\numberline {9}Exercise: Integrate $\frac {1}{2+\qopname \relax o{cos}(x)}$ over $[0,2\pi ]$}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {7}Estimate cosine fraction integral.}{5}} \@writefile{toc}{\contentsline {section}{\numberline {10} No Computing Assignment for this Lab!}{5}}