Today's lecture: Trygve obtained an ¡­

Today's lecture: Trygve obtained an explicit formula for the solution of the initial value problem for the wave equation. He also solved the boundary value problem using the method of separation of variables and represented the solution in terms of Fourier series. Uniqueness was established using energy method.

Group lesson this friday: Prepare exercises 5.1, 5.2, 5.3,5,5 and 5.8. Also show that results of 5.3(b) and 5.8(b) imply uniqueness of solutions.

Next lecture: Trygve will describe an explicit finite difference scheme to solve the wave equation numerically. Stability will be shown using Von-Neumann analysis.