 Wake Forest Physics
Nationally recognized for teaching excellence;
internationally respected for research advances;
a focused emphasis on interdisciplinary study and close student-faculty collaboration; committed
to a diverse and inclusive environment.

# Mathematics Resources

## Videos Explaining Math Relevant to Physics

### Compiled by the 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 - https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/dot-cross-products/v/linear-algebra-cross-product-introduction
2. Line integrals - used in the concept of work, potential energy, electric potential.
See Khan Academy, where the first video is at this link https://www.khanacademy.org/math/multivariable-calculus/integrating-multivariable-functions/line-integrals-vectors/v/line-integrals-and-vector-fields.
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.
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.
5. Series solutions to differential equations - useful in E&M and in solving the Schrodinger Eqn for the hydrogen atom, etc.
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.
7. The Del operator, gradient, divergence, and curl - used to determine force from potential and in the differential formulation of Maxwell's equations.   100 Olin Physical Laboratory
Wake Forest University
Winston-Salem, NC 27109-7507
Phone: (336) 758-5337, FAX: (336) 758-6142
E-mail:
wfuphys@wfu.edu