There are 8 questions, each is worth 3 points (plus 1 point for presentation). Check your current amount of points here, and see the Syllabus for the table on how to convert points into a final grade (there will not be any exemption from the rule given in this table).

1. For a given function, find u_{xt}(...) [easy, like Problem #1].

2. Find the general solution of a PDE of first order using the geometric method (i.e, the method of characteristics).

3. Solve an IVP by "factoring" the operator.

4. Prove a statement concerning solutions of the diffusion equation.

5. Separate the variables for a given problem and solve the resulting eigenvalue problem.

6. Find the Fourier series of a given function f and determine whether it converges pointwise to f.

7. Perform separation of variables to solve a discrete problem.

8. Use one of the schemes from Chapter 8 to solve a certain problem.