Sequences and series. Convergence. Numeric series of positive terms. Convergence criteria. Power series.
Functions of one real variable.
Functions of one real variable. Limits. Continuity.
Differentiability of functions of one real variable. Mean value theorems. Limited expansions and Taylor's formula. Extrema.
Differentiability of functions of one real variable. Mean value theorems. Limited expansions and Taylor's formula. Extrema.
Integration of functions of one real variable
Primitives. Definite integral. Fundamental theorem of calculus. Geometric applications. Numerical integration
Functions of several real variables.
The n-dimensional euclidean space. Functions of several real variables. Limits. Continuity. Differentiability. Expansion and Taylor's formula. Relative extrema. Constrained optimization.
