\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand*\HyPL@Entry[1]{}
\HyPL@Entry{0<</S/D>>}
\@writefile{toc}{\contentsline {section}{\numberline {1}First software explorations}{1}{section.1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}The roots of polynomials of degree two}{1}{section.2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}What is a parabola?}{1}{section.3}}
\newlabel{hyp1}{{1}{2}{What is a parabola?}{defi.1}{}}
\newlabel{def2}{{3}{2}{What is a parabola?}{defi.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4}The roots of polynomials of degree three}{3}{section.4}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}The Cardano-Tartaglia method}{4}{subsection.4.1}}
\newlabel{ct}{{4.1}{4}{The Cardano-Tartaglia method}{subsection.4.1}{}}
\newlabel{depressed}{{1}{4}{The Cardano-Tartaglia method}{equation.4.1}{}}
\newlabel{uv}{{2}{4}{The Cardano-Tartaglia method}{equation.4.2}{}}
\newlabel{uv1}{{3}{4}{The Cardano-Tartaglia method}{equation.4.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Solving a cubic equation with technology}{4}{section.5}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Netwon's method}{5}{section.6}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Basins of atraction}}{5}{figure.1}}
\newlabel{fh2}{{1}{5}{Basins of atraction}{figure.1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Basins of atraction}}{5}{figure.2}}
\newlabel{fh}{{2}{5}{Basins of atraction}{figure.2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces The Mandelbrot set appears in the Basins of atraction of the Newton method for find roots of cubics!}}{6}{figure.3}}
\newlabel{fh1}{{3}{6}{The Mandelbrot set appears in the Basins of atraction of the Newton method for find roots of cubics!}{figure.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Extra credit problem}{6}{section.7}}
