Real numbers - Countable and uncountable sets - Sequences and series - permutations of series - representations of real numbers - The Cantor set and Cantor’s function - Special classes of functions (monotone, bounded variation, absolutely continuous, convex) - Sequences and series of functions - uniform convergence and applications - nowhere differentiable continuous functions - space filling curves - equicartinuity - Azzela’s-Ascoli’s theorem - Weierstrass approximation theorem - Lebesque’s measure.

real numbers, countable sets, uncountable sets, Cantor set, sequences and series functions, .

11-09-2013