Under construction – many pages are still missing.
Pull Requests are welcome!

Key principles (always think about these)

• Conservation of energy
  • this is the most important principle and should be thought about in nearly every task
• understanding the relations between:
  • energy
  • momentum
  • pressure
  • force
  • acceleration
  • velocity
  • …
  • => conceptual understanding of derivatives and integrals (slope / area under curve)
• Sanity checks:
  • dimensional analysis: do the units match?
  • limits: is the theory’s prediction reasonable when x is close to 0? when y is very large?
  • are the theory’s assumptions really valid in the experiment? (e.g. small angles, …)

Advanced mechanics

• torques / angular momentum / angular velocity…
• conservation of momentum
• friction
• Lagrangian mechanics
  • not required, but may appear in some more advanced solutions

Oscillators

• (damped) harmonic oscillator
• resonance / natural frequency
  • remember: possible higher modes!

Wave mechanics

• node, antinode, pressure in space & time
• standing waves
• interference
• sound:
  • Fourier transform
  • resonance
    • higher harmonics

Optics

• Snell’s law
• wave optics:
  • diffraction
  • see also Wave mechanics

Fluid dynamics

• laminar vs. turbulent flow
  • Reynolds number
    • which length? which velocity? (which parts of the system)
• energy losses

Thermodynamics

• ideal gas law
• processes
• heat transfer

Toolkit

• Fourier transform / FFT
• numerical methods
  • TODO list

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