Read the textbook, chapters 9.5 and 9.7.

Homework (due by Monday, 12.1):

- Find the
*cosine*transform of \(\sin(x)\) on \([0,\pi]\). - Using separation of variables, solve the heat equation on the interval \([0,\pi]\):

\[u_{t}=u_{xx}; \quad u_x(0,t)=u_x(\pi,t)=0; u(x,0)=\sin(x)