During the quiz you may use your textbook, my notes, and 
your own notes.

No calculators or other electronic devices are permitted.

Please make sure your cell phones are quiet during class and
off during quizzes.

This quiz will only cover material in 
"Solution of ODEs, BVPs, Part 1" of the course notes,
and the corresponding material in the textbook.
Part 2 of the notes will not be included.

For Quiz 2, be able to:

-- Apply the Maximum Principle, Minimum Principle, and the
   stronger variant of the Maximum Principle to draw
   conclusions about the behavior of the solution to an
   ODE-BVP.

-- Use Theorem 2.2.

-- Define uniqueness and stability of the solution of an ODE-BVP.

-- Determine the solution to an ODE-BVP given its Green's function.

-- Given a function, compute its sup-norm, L_2 norm, or H^1 norm.

-- Determine whether a function is in L_2, H^1, or C (the space
   of continuous functions).

-- Solve Problem 2.1 
   (Try guessing the solution 
   u(x) = alpha exp(sqrt(c) x) + beta exp(-sqrt(c) x) + gamma 
   where alpha, beta, and gamma are constants.)

-- Solve Problem 2.2  (Use notes, p4 for (a) and Problem 2.1 for (b).)

-- Solve Problem 2.3 (Use what we called the minimum principle)


-- Given a function, compute its sup-norm, L_2 norm, or H^1 norm.

-- Determine whether a function is in L_2, H^1, or C (the space
   of continuous functions).

-- Use a Green's function to compute a solution to an
   ODE-BVP.

-- Derive the weak form of the problem from the strong.

-- Show that a given bilinear form is coercive.

-- Solve the Unquiz 1.

-- Show that the finite difference matrix is tridiagonal.