Guia docente 2017_18 Escuela de Ingeniería Aeronáutica y del Espacio

Contents

Topic	Sub-topic
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.
Sequences and series.	Sequences and series. Convergence. Numeric series of positive terms. Convergence criteria. Power series.
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.