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. For Quiz 1, 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 uniquess 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)