\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}Power form (1-based)}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}Print a polynomial}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Basic poly\_print.m code.}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Using poly\_print().}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Using the fancier r8poly\_print().}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}Add two polynomials}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Polynomial addition.}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Explain why this is a bad idea.}{3}} \@writefile{toc}{\contentsline {section}{\numberline {4}Multiply two polynomials}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Polynomial multiplication.}{3}} \@writefile{toc}{\contentsline {section}{\numberline {5}Quotient and remainder of two polynomials}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {7}Quotient and remainder of polynomial division.}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {8}Divide and then verify.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {6}Squares and powers of a polynomial}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {9}Powers of a polynomial.}{5}} \@writefile{toc}{\contentsline {section}{\numberline {7}Derivative and antiderivative of a polynomial}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {10}The derivative of a polynomial.}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {11}An antiderivative of a polynomial.}{5}} \@writefile{toc}{\contentsline {section}{\numberline {8}L2 norm of a polynomial}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {12}Compute the L2 norm of a polynomial.}{6}} \@writefile{toc}{\contentsline {section}{\numberline {9}Evaluate a power form polynomial}{6}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {13}Evaluate a polynomial term by term.}{6}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {14}Nested multiplication for polynomial evaluation.}{6}} \@writefile{toc}{\contentsline {section}{\numberline {10}Exercise: Plot a Chebyshev polynomial}{6}} \@writefile{toc}{\contentsline {section}{\numberline {11}Polynomials in factor form}{7}} \@writefile{toc}{\contentsline {section}{\numberline {12}Evaluate a factor form polynomial}{7}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {15}Evaluate factor form polynomial.}{7}} \@writefile{toc}{\contentsline {section}{\numberline {13}Convert from factor form to power form}{7}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {16}Convert factor form to power form.}{7}} \@writefile{toc}{\contentsline {section}{\numberline {14}Convert from power form to factor form}{7}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {17}Convert power form to factor form.}{7}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {18}Test factor to power to factor.}{8}} \@writefile{toc}{\contentsline {section}{\numberline {15}MATLAB's polynomial representation }{8}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {19}Ways to reverse your coefficient vector.}{8}} \@writefile{toc}{\contentsline {section}{\numberline {16}Evaluate using MATLAB's {\tt {polyval()}} }{8}} \@writefile{toc}{\contentsline {section}{\numberline {17}Exercise: Compare evaluation procedures}{9}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {20}Compare polynomial evaluation methods.}{9}} \@writefile{toc}{\contentsline {section}{\numberline {18}Newton polynomial representation}{9}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {21}Evaluate a Newton polynomial.}{10}} \@writefile{toc}{\contentsline {section}{\numberline {19}Exercise: Newton polynomial evaluation}{10}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {22}Evaluate the Wikipedia Newton polynomial.}{10}} \@writefile{toc}{\contentsline {section}{\numberline {20}Sparse form representation}{11}} \@writefile{toc}{\contentsline {section}{\numberline {21} No Computing Assignment for this Lab!}{11}}