In yesterday's lecture: I completed ¡­

In yesterday's lecture: I completed the solutions of transport equations by using the method of characteristics. I derived the heat equation and the Poisson's equation from the first principles.

Next monday's lecture: I will derive explicit solutions of the 1-D Poisson's equations in terms of the Green's function and derive some qualitative properties of the solution.

Group lesson this friday: Prepare exercises 1.5 (b,c,d) and 1.7. He will also explain the Gaussian elimination algorithm for solving systems of linear equations.