Chapter 9: Sequences and series of functions

1. Definition of poitwise and uniform convergence
2. Examples; comparison of pointwise and uniform convergence
3. The Weiestrass M-Test
4. Uniform limits of continuous functions
5. Cauchy criterion for uniform convergence
6. Integrals and derivatives of uniformly convergent sequences
7. Weierstrass's approximation theorem
8. Equicontinuity and the Arzela-Ascoli Theorem