\relax 
\@writefile{toc}{\contentsline {part}{III\hspace  {1em}Numerical differentiation and integration}{17}{}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{\numberline {4}Numerical differentiation}{19}{}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {4.1}Forward difference}{19}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {4.2}Backwards difference}{19}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {4.3}Balanced difference}{19}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {4.4}Higher order methods}{19}{}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{\numberline {5}Numerical integration}{21}{}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {5.1}Riemann sum}{21}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.2}Trapezoidal rule}{21}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.3}Refined trapezoidal rule}{22}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.4}Romberg integration}{22}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.5}Simpson's rule}{22}{}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{\numberline {6}Advanced methods}{23}{}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {6.1}Gauss-Legendre integration}{23}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6.2}Monte Carlo integration}{24}{}\protected@file@percent }
\@setckpt{4}{
\setcounter{page}{26}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{3}
\setcounter{chapter}{6}
\setcounter{section}{2}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{float@type}{8}
\setcounter{algorithm}{0}
\setcounter{ALC@unique}{0}
\setcounter{ALC@line}{0}
\setcounter{ALC@rem}{0}
\setcounter{ALC@depth}{0}
\setcounter{proposition}{0}
\setcounter{lemma}{0}
\setcounter{theorem}{0}
\setcounter{definition}{0}
\setcounter{example}{0}
\setcounter{corollary}{0}
}
