assigned today:

Due 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)

- voted on beam equation one and quantum harmonic oscillator
- We drew one moment in time of a wave
- asked about the curvature and what that meant about the acceleration:

$$\frac{\partial^2 y}{\partial t^2}=c^2\frac{\partial^2 y}{\partial x^2}$$

- talked about how the boundary conditions affect the constant (from separation of variables)
- talked about the determinant approach
- Moved on to the philosophy of the quantum problem
- if you build a cage, you've set some stationary states
- if you break the cage, they're not stationary states any more

- Voted on the initial velocity 1D wave problem
- talked about how the A's are the coefficients of the initial shape and how the B's (times the frequencies) are the coefficients of the initial velocity