Due at the beginning of class, Tuesday Dec 7.

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0. Please read at least the introduction to F&M Exercise 7.2, p212,
to see how our study of asymptotics for integrals was motivated
by the heat problems.

1. Logan 6.2. Hints: see (and use!) the change of variables discussed on p93,
and pay attention to the definition of the gamma function (in Maple: GAMMA).

2. Use Watson's Lemma to obtain an asymptotic expansion for
the modified Bessel function, K0 defined by
.

You will need to do a minor change of variable to move the
lower limit of integration to 0.

3. Logan 6.6. Asymptotic series for the real exponential integral.