__Fourier (Harmonic) series__

- The basics (from "ask a mathematician")
- The mathematics (from Lamar University)
- The fundamental equations with sine as the first term - a Fourier series; computing harmonic coefficients; computing signal power; computing explained variance
- The fundamental equations with cosine as the first term. (This version is slightly more common in the literature.)

__Imaginary numbers and Fourier series__

- Wait! What? The beauty of a bizarre notion. (Note: the term "imaginary number" originated in the 17th century as a derogatory term, see Wiki)
- Intuitive understanding of Euler's formula
- The fundamental equations for complex Fourier series
- Examples of converting between complex Fourier series and real version of Fourier series. Courtesy Nathan Pflueger of Amherst University
- Supplementary material on complex Fourier series. Courtesy Swarthmore College.

__Normal modes__

- Animation, example of drum normal modes
- Normal modes and using them for wave solutions
- Linearization of equations by perturbation method

__Dispersion__

- Dispersion relationship, phase speed, and group velocity
- 1) Animation of phase speed and group velocity 2) Another animation 3) Animation of dispersive vs nondispersive waves
- Video lecture on wave dispersion. Courtesy Dr. Hillary Weller. Accompanying notes to video.
- Video of boat wake dispersion.

__Atmospheric waves__

- Basic discussion of wave types in the atmosphere
- Summary figure on atmospheric wave types
- Characteristics of atmospheric wave types
- General (intermediate) water waves, shallow water waves, and deepwater waves. Which one is NOT dispersive? Video on ocean wave dispersion

__Dispersion and phase speed derivations responsible for on exam__

- Rossby waves. Their westward propagation mechanism relates to how vorticity is redistributed. Graphic showing mechanism.
- Sound waves. Aside --- converting thermodynamic equation to its natural log version
- Waves on a discontinuity (like ocean waves)

__Alternate derivations of Rossby waves from sine wave__

__Dr. Fitz's derivations on atmospheric waves (supplemental, not required for class, some steps incomplete but could still be helpful to students)__

- Alternate derivation of sound waves (shorter version!)
- Inertial-buoyancy waves
- Kelvin waves
- Inertia-gravity waves
- Inertia-buoyancy waves
- Equatorial waves
- 2D Rossby wave, non-divergent classical version
- 2D Rossby wave, weakly divergent flow
- Rossby wave in a dishpan

__Excellent technical overview on waves from Japan Meteorological Agency, including alternative derivations to dispersion relationships (supplemental material)__

__Recorded lectures__