assigned today:

Due today:

- standard-2D wave equation:
I can calculate and shape and frequencies of a circular drum head.

- 12.10.13 through 12.10.15 (all of them)
- Calculate the relative amounts of the first 10 frequencies for a circular drum with radius 1 excited by the function \(f(r)=e^{-r^2/0.2^2}\)
- Calculate 5 different frequencies for a circular drum, at least one of which has an eigenfunction that is a function of \(\theta\)

Due today:

- standard-Heat equation:
I can describe and calculate the heat distribution and flow in 1D and 2D situations.

- Any from 12.6.5-12.6.7. (Note that this used to be 12.6.8 but that one needs a homogeneous solution (Fourier series) along with a particular solution (Tom's slanted line) and is more of a hassle than I think you need to deal with)
- 12.6.19 sinusoidal voltage on one side.
- 12.6.22 plate with 2 sides non-zero

- Talked about the arduino project a little
- Quiz on 2D heat equation with only one side non-zero
- Talked about all the ideas needed for this new section and discussed which to try to do in class
- physical connection to laplace equation for drum heads
- polar laplacian
- \(\theta\)-dependence
- Fourier trick for Bessel
- full problem
- what it sounds like

- we did the second one for a while but voted not to finish it up
- We separated time, theta, and space carefully (time first, then theta)
- we talked about the analogy between sines and Bessels