HUNTERTUTORING

Standard syllabus

Waves & vibrations · Undergraduate · Physics

Topics

Oscillations

  • Damped and driven harmonic oscillators
  • Resonance, quality factor, and bandwidth
  • Coupled oscillators and beating
  • Fourier series for periodic forcing
  • Physical pendulums and torsional systems

Continuous waves

  • Wave equation on strings and membranes
  • Boundary conditions and standing waves
  • Dispersion relations and group velocity
  • Sound waves in fluids and solids
  • Doppler effect and shock waves (intro)

Advanced wave phenomena

  • Impedance and reflection at interfaces
  • Wave packets and uncertainty relations
  • Nonlinear waves and solitons (overview)
  • Seismic waves and Earth structure
  • Vibrations of bars and plates

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