Class Mathematics II

The class of Matemática II furnishes the tools needed to develop the quantitative techniques needed for
the whole duration of the course as well as in the future professional life.

1. Diferential calculus in R n
Functions of several variables; First order partial derivatives; Directional derivatives; Higher order partial
derivatives; Diferentials; Derivative of an implicit function; Homogeneous functions; Optimization with
several variables; Conditioned maxima and minima; Applications to economics and management.
2. Primitives
Primitive function; Simple indefinite integration; Integration by substitution; Integration by parts;
Integration of rational functions; Applications to economics and management.
3. Integrals
Definite integral; Properties of the definite integral; Integration by susbtitution; Integration by parts;
Fundamental theorem of Calculus; Computing areas with integration; Improper integrals; Applications to
economics and management.
4. Infinite series
Sequences; Convergent infinite series; Particular infinite series; Properties of series; Convergence tests;
Series with non-negative terms; Absolute convergence.

Availability of solutions to exercises in video format

- Sydsaeter K., Hammond P., Strom, A e Carvajal, A (2022), Essential Mathematics for Economic Analysis; Prentice
Hall.
- Jacques, I. (2018), Mathematics for Economics and Business; Prentice Hall.