Quiz 4 for Math 309A, Friday, November 30, 2012

Topics for the quiz include most but not all of §§10.2-10.6. Here are the topics included.

• Finding Fourier series (full series, or sine or cosine series), either by computing integrals or using series in this Short Table of Fourier Series, which will be shown on the overhead projector during the quiz (if it will be useful).
• Graphing the function to which a Fourier series converges. This includes understanding even and odd functions, and understanding and graphing clearly the values of the function at discontinuities.
• Solving heat equation problems like the ones in §10.5. You will not be expected to start from separation of variables, but instead may write down the general solution with only the preliminary steps that you personally need to get there.
• Solving heat equation problems with insulated boundary conditions, as in §10.5. You will not be expected to start from separation of variables, but instead may write down the general solution with only the preliminary steps that you personally need to get there.
• Problems with non-homogeneous boundary conditions (that is, the ones where you first need to find a steady state solution) will NOT be included.

Review material and sample quiz problems may be found at the 309ABC workspace. Some of the sample quiz problems require integration of x sin(Ax) or x cos(Ax); if these integrals are needed on the quiz, the indefinite integrals of these functions will be provided.

Extra office hours Thursday 12:30-2, later in the afternoon by appointment.

Return to the Math 309A Homepage.
Most recently updated on November 28, 2012