Today lecture I first exlained ¡­

Today lecture I first exlained The Forward Euler Method. Then I introduced the Cauchy Problems, explaining in details, also with examples, the characteristic method for both homogeneous and non homogeneous first order partial differential equations. Finally I derived the d'Alambert solution of the wave equation. From the book paraghaph 1.3 and 1.4 (1.4.1, 1.4.2; 1.4.3). Next time we will finish to cover chapter 1 with the diffusion equation (paragraph 1.4.4) and start chapter 2 with the Poisson equation. Exercises assigned during this lecture for the tutorial of Friday 1.5, 1.6, 1.7, 1.8 together with the others assigned on the previous lecture.