Oscillations & Waves

Oscillators

1. Simple Harmonic Motionequation of motion, solution, amplitude, phase, energy2.5–5 h
2. Damped Oscillationsunder/critical/over damping, quality factor2.5–5 h
3. Driven Oscillations & Resonanceforced oscillator, amplitude response, resonance catastrophe2.5–5 h
4. Coupled Oscillatorsnormal modes, beats, energy transfer2.5–5 h

Wave Propagation

1. The Wave Equationderivation for strings, traveling wave solutions2.5–5 h
2. Superposition & Interferenceprinciple of superposition, standing waves, nodes/antinodes2.5–5 h
3. Reflection & Transmissionboundary conditions, impedance matching2.5–5 h
4. Sound Wavesspeed of sound, intensity, decibels, beats, Doppler effect2.5–5 h

Fourier & Advanced

1. Fourier Analysis Introharmonic decomposition, spectra of periodic waves2.5–5 h
2. Dispersionphase vs group velocity, dispersive media2.5–5 h
3. Nonlinear & Shocks Introamplitude effects, solitons preview2.5–5 h