Dr. Gabriel Williams Assistant Professor Office: JC Long 223 Phone: 843.953.0278 Email: williamsgj@cofc.edu Home Curriculum Vitae Research QuickStudy Tools CofC Webpage Physics Department Meteorology Program Weather Analysis Links |
## - QuickStudy Tools-As a professor, I know that there are a number of topics within mathematics, physics, and atmospheric science that are important, but are usually not covered within the standard core curriculum. This webpage provides an introduction to various topics of relevance for students who are interested in advanced study in physics and/or atmospheric science. 1. Classical Mechanics
It is assumed that the student has taken (or is currently taking) classical mechanics (PHYS 301) and is comfortable with matrix analysis. Coupled Oscillations Hamiltonian Minkowski Spacetime Nonlinear Chaos Relativistic Mechanics Scattering Theory 2. Electromagnetism
It is assumed that the student has taken (or is currently taking) electricity and magnetism (PHYS 409) and is comfortable with vector calculus and ordinary differential equations. AC Circuits Electromagnetic Radiation Electromagnetic Waves Gauge Theory Helmholtz Theorem Legendre Function Maxwell Stress Tensor Poynting Theorem Poynting Vector Relativity and Electromagnetism 3. Thermal Physics
It is assumed that the student has taken (or is currently taking) thermal physics (PHYS 405) and is comfortable with vector calculus and ordinary differential equations. Blackbody Radiation Bose-Einstein Distribution Fermi-Dirac Distribution Legendre Transformation Thermoelectric Effect 4. Applied Mathematics
It is assumed that the student has taken (or is currently taken) ordinary differential equations (MATH 320) and is comfortable with vector calculus. Bessel Function Complex Analysis Differential Equations Fourier Series Gamma Function Hermite Function Integral Transforms Sturm-Liouville Theory Tensor Analysis |