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

Exercise 4.5.1