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\hline
& \textbf{FALL odd (2015)} & \textbf{SPRING even (2016)} & \textbf{FALL even (2016)} & \textbf{SPRING odd (2017)} \\
\hline\hline
core & MATH 641 Real Analysis & MATH 645 Complex Analysis & MATH 631 Algebra I & MATH 651 Topology \\
&  &&&\\
\hline
elective 
~(pure) & MATH 663 Applied Combinatorics and Graph Theory & MATH 617 Functional Analysis & MATH 6XX Geometry & MATH 632 Algebra II \\
&  &&  & \\
\hline
elective 
~(applied) & MATH 614 Numerical Linear Algebra & MATH 660 Advanced Mathematical Modeling & MATH 661 Optimization & MATH 615 Applied Numerical Analysis \\
&  &&  & \\
\hline
& MATH 665 Topics && MATH 665 Topics&\\
&  &&  &\\
\hline
& MATH 611 Mathematical Physics & MATH 612 Mathematical Physics&& \\
\hline
\end{tabular}
%\caption{\sc \Large Graduate course matrix}
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