Syllabus
Sequences (review): definition, properties; limit of a sequence.
Series: sum of a series. Series with nonnegative terms, criteria of convergence. Alternating series, Leibniz criterion. Absolute and nonabsolute convergence.
Sequences and series of functions. Pointwise and uniform convergence. Associative and commutative law for infinite series. Interchanging operations.
Power series. Taylor and Maclaurin series for elementary functions.
Annotation
Number sequences (revision). Number series.
Series with nonnegative terms, criteria of convergence. Alternating series, Leibniz criterion.
Absolute and nonabsolute convergence. Associative and commutative law for infinite series.
Sequences and series of functions, pointwise and uniform convergence. Power series, Taylor and Maclaurin series.