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.

Not applicable

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.