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\textbf{Math 365: Honors Analysis I}
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\textbf{Quiz 3}\quad \textsl{November 3, 2000}

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1. Derive the solution to the heat equation $a^2\dd{w}{x} = \d{w}{t}$
subject to the boundary conditions $w(0,t) = w(\pi,t) = 0$ and $w(x,0)
= f(x)$.

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2. Derive the solution to the Dirichlet Problem on the unit disk: Find
a function $w$ that is harmonic in the disk and equals a given piecewise
smooth function $f$ on the boundary of the disk.

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