\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}Two Pizza Problems}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}Newton polynomial representation}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}newton\_print.m: Print a Newton polynomial.}{3}} \@writefile{toc}{\contentsline {section}{\numberline {3}Newton polynomial evaluation}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Evaluate a Newton polynomial (scalar x).}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}newton\_value.m: Evaluate a Newton polynomial (vector x).}{4}} \@writefile{toc}{\contentsline {section}{\numberline {4}Exercise: Newton polynomial evaluation}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {4}newton\_value\_test.m: Evaluate the Wikipedia Newton polynomial.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {5}Newton polynomial to power polynomial}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {5}newton\_to\_power.m: Convert Newton to power form.}{5}} \@writefile{toc}{\contentsline {section}{\numberline {6}The divided difference table}{5}} \@writefile{toc}{\contentsline {section}{\numberline {7}Exercise: Write a function to compute difference tables}{6}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Pseudocode for a divided difference table.}{6}} \@writefile{toc}{\contentsline {section}{\numberline {8}Data to Newton coefficients}{6}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {7}data\_to\_newton.m: Compute Newton coefficients from data.}{7}} \@writefile{toc}{\contentsline {section}{\numberline {9}Newton coefficients to Data}{7}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {8}newton\_to\_data.m: Recover data from Newton polynomial.}{7}} \@writefile{toc}{\contentsline {section}{\numberline {10}Setting up and evaluating an interpolant}{7}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {9}humps\_newton\_linspace.m: Plot a divided difference interpolant to humps().}{7}} \@writefile{toc}{\contentsline {section}{\numberline {11}Chebyshev spacing}{8}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {10}chebyspace.m: Chebyshev spacing of points.}{8}} \@writefile{toc}{\contentsline {section}{\numberline {12}Adding new data}{8}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {11}newton\_append.m: Add another data value.}{9}} \@writefile{toc}{\contentsline {section}{\numberline {13}Computing Challenge (Not an assignment!)}{9}}