Homework is collected at the beginning of class on the due date
Please staple your homework before you turn it in!

Homework for Thursday, Jan. 17th:
   4.1: #2, #3
   4.2: #2
   4.3: #2, #4, #6

Homework for Thursday, Jan. 24th:
   4.3: #9,
         #13(b) [Just do the separation of variables: if u(x,t)=X(x)T(t), what are the ODEs and BCs for X and T?]
         #16 [The general solution for +X''''=(lambda) X will have four arbitrary constants.]
   5.1: #2(b)
         #3(a) [Draw each of the three terms (on the same graph), and then draw their sum (either on the same graph or a separate one).]
         #4,
         #6(a) [Hint: start with the Fourier sine series for x, then integrate both sides twice.]
         #8 [Hint: Consider the function v(x,t) = u(x,t) - x. What PDE does it solve? What are the boundary conditions for v?]

Homework for Thursday, January 31st:
   -- Solve the wave equation on [0, L] with Neumann boundary conditions if the initial conditions are u(x,0) = x^2 and u_t(x,0) = 1.
   5.2: #1(a)(d)(e); #2; #4; #11
   5.3: #2(b)(c), #6

Homework for Thursday, February 7th:
   5.3: #3, #9, #10, #11b, #13
     Hint for #3: First find all of the separated solutions. Then, write down the general series solution.
      Finally, use the initial data to determine all of the constants in the general series solution.
and for Thursday, February 14th:
   5.4: #3, #7, #8

Homework for Thursday, February 21th:
   5.4: #13, #15, #16
   5.5: #2, #3, #12
      Hint for #12: Start with the complex Fourier series for the derivative of f: f^(prime)(x)=Sum(c_n e^(inx)).
      Integrate to find the Fourier series for f(x). Use Parseval's for both functions to prove the result.

Homework for Thursday, February 28th

Last homework, due Tuesday, March 11th
Hint for Problem 1!