\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\zref@newlabel[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\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\@writefile{toc}{\beamer@endinputifotherversion {3.26pt}}
\@writefile{nav}{\beamer@endinputifotherversion {3.26pt}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{toc}{\beamer@sectionintoc {1}{MA140}{2}{0}{1}}
\@writefile{nav}{\headcommand {\sectionentry {1}{MA140}{2}{MA140}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{1}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{2}{2/7}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{7}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{3}{8/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{4}{9/9}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{5}{10/10}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{6}{11/11}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{7}{12/12}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{8}{13/13}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{9}{14/14}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{10}{15/16}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {15}{16}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{11}{17/17}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{12}{18/18}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{18}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {2}{18}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {2}{18}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {18}}}
\@writefile{nav}{\headcommand {\def \inserttotalframenumber {12}}}