Math Review Topics

Using MAPLE

Spherical Polar Coordinates

Spherical harmonics using MAPLE

Differentiation: single and multivariable

Taylor's series expansions of common functions

Gaussian integrals

Moments of Gaussian integrals

Exponential integrals

Integration by parts

Delta functions

Fourier transforms in spectroscopy

Stirling's approximation

The binomial distribution

Trigonometric formulae

Angular momentum commutation relations

Angular momentum operators in spherical polar coordinates

Raising and lowering operators

Braket notation

Elliptical integrals applied to H₂⁺

Spin-orbit coupling

Matrices

Coordinate transformation from the molecular to the laboratory frame

Look here for a review of thermodynamics

Website, problems and exams in Thermodynamic

Look here for a review of statistical mechanics

Website, problems and exams in Statistical Mechanics

Last modified August 14, 2002