\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}Flash back: Phase plot analysis for the predator problem}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}The pendulum problem}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}Euler method solution}{3}} \@writefile{toc}{\contentsline {section}{\numberline {4} What happens to the solution as we change $n$?}{3}} \@writefile{toc}{\contentsline {section}{\numberline {5}The pendulum with a friction term}{4}} \@writefile{toc}{\contentsline {section}{\numberline {6}Controlling the pendulum with a friction term}{4}} \@writefile{toc}{\contentsline {section}{\numberline {7}The nonlinear pendulum model}{4}} \@writefile{toc}{\contentsline {section}{\numberline {8}Checking results against MATLAB's ode23() }{5}} \@writefile{toc}{\contentsline {section}{\numberline {9} No computing assignment for this lab!}{5}}