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\title{Applied Analysis}
\author{Homework 2}
\date{due September 28, 2007}
\maketitle

\begin{enumerate}
\item Miller, p.\ 43, Exercise 1.23.

\item Miller, p.\ 60, Exercise 2.8.

\item (Cf.\ Miller, p.\ 70, Exercise 32.) 
\begin{enumerate}
\item Write a program in Mathematica to compute the $n$th coefficient
of the asymptotic expansion of an exponential integral in the case
where Laplace's method with a single interior maximum applies.

\item Use this code to compute the first couple of coefficients of the
asymptotic expansion of $\Gamma(z)$ as $z \to \infty$ from $\mathbb
R^+$.   (The first three terms can be found in Miller, equation
(0.4).) 

\end{enumerate}
\end{enumerate}
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