Mathematics Lecture Videos

Mathematics Resources

Videos Explaining Math Relevant to Physics

Compiled by the WFU Physics Faculty

  1. Cross products – used in the definition of angular momentum, torque, force on a charged particle moving in a magnetic field, Biot-Savart law for finding magnetic fields due to current line elements, etc.
    Several Khan Academy videos; first one – External link icon
  2. Line integrals – used in the concept of work, potential energy, electric potential.
    See Khan Academy, where the first video is at this link External link icon
    There are a substantial number of subsequent videos that gradually increase the level of complexity for handling line integrals.
  3. Eigenvalues and eigenvectors – used in moment of inertia tensor or matrix, normal modes of vibration, measureable values of operators corresponding to physical quantities in quantum mechanics, etc.
    See Khan Academy – External link icon
  4. Fourier Series – useful in mechanics to describe the forced harmonic oscillator, in E&M to describe time-varying fields, and in Quantum Mechanics to describe the wavefunctions for the particle in a box.
    See Khan Academy – External link icon
  5. Series solutions to differential equations – useful in E&M and in solving the Schrodinger Eqn for the hydrogen atom, etc.
    YouTube video – External link icon
  6. Fourier Transforms – useful in forced harmonic oscillator, E&M for describing Electric field pulses, Optical fields, Heisenberg uncertainty principle, resolution of a microscope, etc.
    YouTube video – External link icon