Course Content (Syllabus)
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 -
real numbers, countable sets, uncountable sets, Cantor set, sequences and series functions, .