Physics

Elementary

• Easily Calculating the Equivalent Resistance in a Parallel Circuit
• Using Harmonic Mean to Calculate Average Speed $v = \frac{2ab}{a+b}$
• Formula for the Velocity of a Falling Object $v = \sqrt{2gh}$
• Uniformly Accelerated Motion and Its Graphs
• Momentum and Impulse
• Uniform Motion and Its Graphs
• Simple Proof of the Conservation of Momentum (High School Level)
• Collision of Two Bodies and Coefficient of Restitution
• Perfectly Elastic Collisions and Conservation of Kinetic Energy
• The period of a single pendulum motion is independent of the mass of the pendulum

Optics

• 1-Dimensional Wave Equation
• Sine Waves and Complex Wave Functions
• Wave Boundary Conditions: Reflection and Transmission
• Vertical Waves, Parallel Waves, Polarization
• What are Vibration Frequency and Frequency?
• What is Spectroscopy?
• Spectrum and Fraunhofer Lines

Fluid Mechanics

• Definition of Fluid and Fluid Mechanics
• Pressure of a Fluid $P = \dfrac{F}{A}$
• Pressure of a Fluid at Depth $P_{h} = P_{0} + \rho g h$
• Pressure of a Fluid with an Object Placed on Top at Depth

Theory of Relativity

• Worldlines and Galilean Transformation
• Theory of Relativity and Lorentz Transformation
  • Derivation of Lorentz Transformation
• Features of Lorentz Transformation:
  • Loss of Simultaneity
  • Time Dilation
  • Length Contraction