- Associated Legendre functions
- Associated Legendre functions - orthogonality
- Branch points and cuts in the complex plane
- Complex numbers
- Contour integration
- Contour integration around a branch cut
- Derivatves of the delta function
- Dirac delta function
- Dirac delta function as limit of a gaussian integral
- Dirac delta function in three dimensions
- Gaussian integral
- Generalized product rule: Leibniz's formula
- Group theory: definitions & examples, including the Euclidean group
- Hermite differential equation - generating functions
- Hermite polynomials
- Laguerre polynomials - normalization
- Legendre equation - Legendre polynomials
- Legendre polynomials - geometric origin
- Legendre polynomials - orthogonality
- Legendre polynomials - recurrence relations & ODE
- Probability
- Product rule and integration by parts
- Taylor series