Whole series

Definition, Abel's Lemma, radius of convergence
Techniques for calculating the radius of convergence (the definition, comparisons, d'Alembert's rule)
Study on the open disk. Properties of the sum of an integer series in the open interval of convergence
Operations on integer series: sum series and product series
Taylor series and integer series development of usual functions
Differential equation method for determining an integer series development (case of x-> (1+x)^a)
Finding the solutions of a differential equation as the sum of an integer series
Calculating the sum of an integer series (case where coefficients are of the type P(n), P(n)/n! with P polynomial and F(n) where F is a rational fraction)