1. Describe the Gram-Schmidt process and explain its importance.
2. What are the Chebyshev polynomials? Why do we hear more about them than about other families of orthogonal polynomials?
3. What is a min-max property?
4. The weight function w(x) for Chebyshev polynomials satisfies w(x) → ∞ as x → ±1. Is this a problem? Explain.