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\@writefile{toc}{\contentsline {section}{\numberline {1}The Behavior of a Heated Metal Rod}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Applying Heat to a Rod}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Exercise \#1: Snapshot of a Heated Rod}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Define a step function.}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {4}The Time Dependent Heat Equation}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Design of an explicit heat equation algorithm}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Exercise \#2: Solve the heat equation with an explicit method}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Exercise \#3: Varying grid and time stepsizes}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Plot each solution by itself.}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Modeling insulation with a Neumann boundary condition}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Exercise \#4: An insulated rod}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {10}A periodic boundary condition}{7}}
\@writefile{toc}{\contentsline {section}{\numberline {11} Exercise 5: Periodic boundary conditions on a rod }{7}}
\@writefile{toc}{\contentsline {section}{\numberline {12}Including a diffusivity coefficient}{8}}
\@writefile{toc}{\contentsline {section}{\numberline {13}Homework: A simple diffusivity problem}{8}}