Boundary Values & Fourier Series · Easy problem

The temperature $u(x, t)$ in a rod satisfies $u_t = 3u_{xx}$ for $0 < x < \pi$, with $u(0, t) = u(\pi, t) = 0$ and $u(x, 0) = \sin 2x$. Find $u\!\left(\dfrac{\pi}{4}, 1\right)$.