Section 1.3, 1.4, 1.5, 1.7, 1.8

TUTORIAL 2 – Quiz 2, Homework 1 is due.

Suggested Problems

1. Suppose $u=u(x,t)$ is twice continuously differentiable in $x$ . Show that

$u_{xx}(x,t)=\lim_{h\to 0} \frac{u(x+h,t)+u(x-h,t)-2u(x,t)}{h^2}.$

2. Read section 1.3 of Logan and do the exercises 1, 2, 3, 4, 5, 6, 7, 10.

3. Read section 1.4 of Logan and do the exercises 1, 3, 6, 9, 10, 12.

4. Read section 1.5 of Logan and do the exercises 1, 2, 3, 4, 5.

5. Read section 1.7 of Logan and do the exercises 1, 2, 3, 4, 5, 6, 7.

Additional Material (To learn further)