Department of

Prof. Hall - Spring 2013

- Course Info:
**Applets and animations**- Damped oscillator
- Forced oscillator
- Coupled oscillators
- The loaded string
- Fourier Series
- Dispersion
- Wikipedia entry on dispersion relation. Take a look at the animations near the bottom of the page.
- Dispersion applet.
- Youtube video of dispersion in water waves. Notice that the phase velocity is larger than the group velocity in the boat's wake.
- Anomalous dispersion in a quantum mechanical wave packet.
**Final Exam**

- Will be held from 8 am to 10 am on Monday, May 13th in Phys 1410.
- The exam questions will be a mixture of qualitative and quantitative questions, similar to the homework.
- The exam will be closed book, closed notes, and you will not be allowed to use a calculator.
- Formula sheets:
- Hints for studying for the exam:
- Review your class notes, the optional reading assignments, and the lecture notes posted below.
- Review your homework and the solutions posted below.
- Review the formula sheets. You should understand the meaning of all the symbols and equations on the formula sheet
**Homeworks:**

- Homework #1, and solutions.

- Homework #2, and solutions.
- Homework #3, and solutions.

- Homework #4, and solutions.
- Homework #5, and solutions.

- Homework #6,
and solutions.

- Homework #7, and solutions.
- Homework #8, and solutions.
- Homework #9, and solutions.
- Homework #10, and solutions.

- Homework #11, and solutions.

- Homework #12,
and solutions.

**Lecture Notes:**

- Week 1 - Simple harmonic oscillator and small oscillations.
- Week 2 - Complex analysis, forced oscillator.
- Week 3 - Damping, Q factor, forced oscillator with damping, transients.
- Week 4 - Electrical
oscillators, RLC circuits, phasor analysis.

- Week 5 - Two coupled oscillators, normal modes, initial conditions.
- Week 6 - Exam 1 review.
- Week 7 - Loaded string, orthogonality, wave equation.
- Week 8 - Plucked string, Fourier Series.
- Week 9 - Fourier Transform, traveling waves.
- Week 10 - Mechanical impedance, reflection & transmission, transmission lines.
- Week 11 - Dispersion.
- Week 12 - Exam 2 review
- Week 13 - Interference and Diffraction
- Week 14 - Maxwell's equations and EM waves.
- Week 15 - Final Exam review.