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\textbf{Math 325: Differential Equations}
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\textbf{Quiz 5}\quad \textsl{Dec. 3, 1997}

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1. Compute the Fourier series of the function $f(x) = x$ on $-3 \le x \le 3$.

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2. Find the solution to the heat equation $4 u_{xx} = u_t$ for $0 \le x \le
3$, $t \ge 0$, subject to the boundary conditions $u(0,t) = 0$, $u(3,t) =
0$ for $t\ge 0$, and $u(x,0) = x$ for $0\le x < 3$.


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