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\section*{Topics for Week of October 25th, 1999}



\subsection*{Estimates and Asymptotic Notation\\
(Reading Source: F97 Lecture Notes 9)}

\begin{itemize}
\item 
Estimating $n\hbox{!}$ using Sterling's Formula - upper and lower bounds
\item
Asymptotic notation for bounding function growth and algorithm running times
\begin{itemize}
\item
$O$ notation 
\item
$\Theta$ notation 
\end{itemize}
\end{itemize}

\subsection*{Linear Recurrence Relations\\
(Reading Source: Rosen 5.1-2, F97 Lec Notes 11)}
\begin{itemize}
\item
Modeling problems with recurrence relations -- setting up recurrence and boundary conditions
\item 
Solving linear homogeneous recurrence relations with constant coefficients
\item
Solving linear inhomogeneous recurrence relations with constant coefficients 
\item
Telling Example: Fibonacci Numbers 
\end{itemize}


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