This course aims to acquaint students with the fundamental notions of Theory and Applications of Infinite Series including Principles of the theory of real numbers, sequences of real numbers, sequences of positive terms, sequences of arbitrary terms, power series, the expansions of the elementary functions, infinite products, closed and numerical expansions for the sums of series, series of positive terms, series of arbitrary terms, series of variable terms, series of complex terms.

Principles of the theory of real numbers, sequences of real numbers, sequences of positive terms, sequences of arbitrary terms, power series, the expansions of the elementary functions, infinite products, closed and numerical expansions for the sums of series, series of positive terms, series of arbitrary terms, series of variable terms, series of complex terms.