# Mathematical and Computational Methods in Physics and Engineering (fall 2016)

## Daily outline for Mon, Oct 17, 2016 9:10 AM (1 year ago)

### Review

assigned today:

Due today:
• standard-ODE series solutions:

I can explain and apply series solutions to ODEs. (chapter 5)

1. Explain how the series solution works and when you need Frobenius instead.
2. Solve a damped harmonic oscillator with a series approach. Verify you get the same result as chapter 2.
3. Solve the quantum harmonic oscillator with a series approach. If you're in the quantum class now, compare and contrast with pp. 51-56 of your quantum book:

$$-\frac{\hbar}{2m}\psi''(x)+\frac{1}{2}k x^2 \psi(x)=E \psi(x)$$

# in class

• Reviewed the big ideas of all 6 problems
• got to work on doing the power series approach to damped oscillator
• promised a video about linearlization
• promised a video of the damped oscillator showing the solution with more and more terms

edit