Lecture , Tuesday 1999/12/07, 8:00-9:50 AM:
Remarked on iff condition for Riemann integrability.

Explained measure zero set. eg: finite set, countable set, cantor set.
explained why Cantor set is uncountable.

How to define inproper integrals.

Uniform convergence:
definition. example, f(x) = x^n on (0,1).

Theorem and proof: unofotm limit of cont function is cont.

Eg: fn -> f point wise, int fn not -> int f
fn = (n+1) x^n