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\begin{document}

\begin{center}{\bf Calculus Overview}
\end{center}

\begin{document}

\[
\xymatrix{
{\begin{matrix}Interpretation/ \\ Application: \end{matrix}}
& {\boxed{\begin{matrix} \makebox{Always slope, but} \\ 
	\makebox{also velocity and} \\  \makebox{acceleration}  
	\\ \makebox{Max-Min/} \\ \mbox{Analysis of Motion} \end{matrix}}}
&&  {\boxed {\begin{matrix} \mbox{Always area under} 
	\\ \mbox{curve; also volume} \\ \mbox{and length of}
	\\ \mbox{curves}  \end{matrix}}} \\
{Core:} & {\boxed{\lim_{\Delta x \to 0} \frac{\Delta y}{\Delta x}=\makebox{slope}}} \ar[u] \ar[r] \ar[d]
& {\boxed{\begin{matrix} \mbox{Fund TH} \\ \mbox{of Calculus} 
	\\ \int_a^b f(x)\ dx = F(b)-F(a) \\ \mbox{where $F$ is AD of $f$}
\end{matrix}}} \ar[r] &
{\boxed{\begin{matrix} \int_a^b f(x)\ dx \\ \mbox{huge sum of} \\
	\mbox{small terms}  \end{matrix}}} \ar[u] \\
{Computation:} & {\boxed{\begin{matrix} \mbox{For $f(x)=kx^s$} \\
	f'(x)=ksx^{s-1} \end{matrix}}} \ar[ur] &
{\begin{matrix} \mbox{This has a theoretical} \\
	\mbox{as well as a} \\ \mbox{computational aspect}    
	\end{matrix}}
&
	{\boxed{\begin{matrix} \mbox{Power series} \\ \mbox{methods}  
	\end{matrix}}} \ar[ul] \\
& {\begin{matrix} \mbox{Provides ADs} \\ \mbox{for such} \\
	\mbox{functions}  \end{matrix}}
}
\]


\end{document}

