1. Lagrange polynomial interpolation
Exercise 3.1.1: Fundamental Lagrange polynomial
Exercise 3.1.2: Divided differences. Newton’s form
2. Piecewise polynomial interpolation
Exercise 3.2.1: Linear piecewise interpolation
Exercise 3.2.2: Interpolation with cubic splines
3. Least-squares regression line
4. Fitting a function after linearizing it
Exercise 3.4.1: Exponential function
Exercise 3.4.2: Power function
Exercise 3.4.3: Hyperbolic function
Exercise 3.4.4: Logistic function
5. Fitting a function with a polynomial
Exercise 3.5.1: Continuous case. Orthogonal polynomials
Exercise 3.5.2: Discrete case