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\@writefile{toc}{\contentsline {section}{\numberline {1}A new kind of differential equation}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}The Time-independent Poisson equation in 1D}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Discretizing the Poisson equation}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Exercise \#1: Write a discretized Poisson equation}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Assembling the linear system}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Solving a discretized Poisson equation.}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Exercise \#2: Solve a discretized Poisson equation}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {7}The MATLAB code {\tt  {poisson\_solve.m}} }{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}poisson\_solve.m}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Exercise \#3: Use poisson\_solve() for a specific problem}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Exercise \#4: Plotting}{5}}
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\@writefile{toc}{\contentsline {section}{\numberline {10}Measuring error}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {11}Exercise \#5: How does mesh size $h$ affect error norm?}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}New calling sequence}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Compute the RMS error norm.}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {6}exercise5 requests many error norms}{7}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {7}exercise5 saves the RMS error norm in a vector.}{7}}
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\@writefile{toc}{\contentsline {section}{\numberline {12}A more complicated equation}{7}}
\@writefile{toc}{\contentsline {section}{\numberline {13}Homework: Solve the equation}{8}}