Provides precise numerical techniques by which the integral and derivative of a function at a point can be evaluated. Ridders' algorithm, Newton polynomial and Chebyshev polynomial methods are used in the approximation of a functions derivative. Newton-Cotes rule, Extended Trapezoidal rule, Extended Simpson's formula, Quadratic Gauss formula, Gaussian Quadrature (using the orthogonal functions of the Gauss-Legendre, Gauss-Laguerre, Gauss-Hermite and Gauss-Jacobi type), Romberg integration and Chebyshev-approximation procedures are implemented for the evaluation of the definite integral.