# Calculus

- finite difference
- differentiation using Ridders’ method
- derivaties of functions for:
- Beta
- Beta Regularized
- Erf
- Gamma
- Gaussian

- multivariate differentiation:
- (bordered) Hessian
- gradient
- Jacobian

- Riemann integration
- Riemann integration using substitution rules:
- Double-Exponential rule
- Exponential rule
- Power law singularity
- Map to the Standard interval

- integration using Romberg’s method
- integration using Newton-Cotes formula
- Simpson’s rule
- Trapezoidal rule
- Midpoint rule

- integration using Gaussian quadrature
- Legendre polynomials
- Chebyshev polynomials
- Laguerre polynomials
- Hermite polynomials

Very helpful, I've needed this explanation for 15 years!