assigned today:

Due today:

- standard-PDEs: 1D wave equation:
I can derive and calculate the solution of a 1D wave equation.

- 12.3.11 (triangle initial conditions)
- 12.3.14 (non-zero velocity)
- 12.3. 20 (clamped beam)

Due today:

- standard-fourier transform applications:
I can apply Fourier transform theory

- Calculate the shape of a diffraction pattern for an interesting 2D mask.
- An electron is in the lowest level of a SHO with a frequency of 10^15 Hz. Then the potential is shut off. Describe the particle's wave function after one nanosecond.
- What is the maximum frequency response (and width of the resonance peak) for a damped system excited by a delta function with m=1, b=0.2, and k=10?

- quiz on the infinite square well and what happens to the wave function when the walls are removed.
- Had them write down what they remembered about a clamped string
- never say \(f=\frac{nv}{2L}\) but lots of good images and notions about harmonics

- Had them consider the free body diagram of a small chunk of the string (we talked about what level to zoom in on)
- we decided to skip the analysis that leads to the wave equation
- talked basically for the rest of time about the separation of variables technique