\relax \@writefile{toc}{\contentsline {section}{\numberline {1}The Initial Value Problem}{1}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {2}The $\frac {dy}{dt}$ flow field}{2}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {3}Plotting the flow field with Python}{3}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {4}Go with the flow}{4}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {5}A Python Euler Solver}{5}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {6}Designing an Euler function}{6}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {7}An Euler ODE Solver}{6}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {8}Testing the solver}{7}{}\protected@file@percent } \gdef \@abspage@last{8}