Important topics:
1. Lagrange interpolation formula.
2. Divided differences.
3. Newton interpolation formula.
4. Error in polynomial interpolation.
5. Minimax problem and Chebyshev polynomials.
6. Splines (including linear and cubic).
7. Least squares approximation and Legendre polynomials.
8. Numerical integration (+ error estimates).
9. Gaussian quadrature.
10. Numerical differentiation (+ method of undetermined coefficients).