Final Exam, Math 325, Spring Semester 1999
Information on the Final Examination, Math 325
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).
- For a given function, find u_{xt}(...) [easy, like Problem #1].
- Find the general solution of a PDE of first order using the geometric
method (i.e, the method of characteristics).
- Solve an IVP by "factoring" the operator.
- Prove a statement concerning solutions of the diffusion equation.
- Separate the variables for a given problem and solve the resulting
eigenvalue problem.
- Find the Fourier series of a given function f and determine whether
it converges pointwise to f.
- Perform separation of variables to solve a discrete problem.
- Use one of the schemes from Chapter 8 to solve a certain problem.