1. Divided difference formulas
Exercise 4.1.1: Forward, backward and centered formulas
2. Numerical differentiation using interpolation
Exercise 4.2.1: Order two formulas
3. Numerical differentiation of functions of two variables
Exercise 4.3.1: Gradient and Hessian matrix
4. Quadrature formulas
Newton-Cotes formulas
Exercise 4.4.1: Midpoint and trapezoidal rules
Exercise 4.4.2: Application of the quadrature rules
Exercise 4.4.3: Application of the composite rules
Exercise 4.4.4: Error of the Trapezoidal rule
Exercise 4.4.5: Error of the Trapezoidal rule
5. Gaussian formulas