Iterative methods for the solution of linear systems.Minimizing quadratic forms: gradient method and conjugate gradient method. Methods for the solution of nonliner systems.The interpolation polynomials. Numerical integration: Newton-cotes quadrature rules and composite quadrature formulae: trapeziodal rule and Cavalieri-Simpson rule.Interpolation with splines and trigonometric functions. Least squares approximation: continuos case. Orthogonal polynomials and Gaussian quadrature.