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\centerline{\bf  Math. 312: Partial Differential Equations}
Fall 2003 \\[.5in]

\noindent{\bf Tentative Syllabus:}
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\item The method of separation of variables:
             Heat flow in one and several dimensions. 
\item Fourier Series and vibrations: 
             strings, membranes, electromagnetic waves.
\item Problems with symmetry: Sturm-Liouville theory 
      and the Special Functions \\ of Mathematical Physics.
\item Introduction to the numerical solution of PDEs 
         by Finite Difference methods.
\item Green's functions: sources for the Heat, Laplace and Wave equations.
\item Introduction to Fourier and Laplace transform methods for PDEs.

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