Class Mathematics I

The class of Matemática I furnishes the tools needed to develop the quantitative techniques needed for
intervention areas, relevance of the whole duration of the course as well as in the future professional
life.

1. Matrices
Definition; Matrix algebra; linear independence; rank of a matrix; application to systems of linear
equations; matrix inversion.
2. Determinants
Definition; Theorem of Laplace; Adjunct matrix and inverse; Cramer's rule.
3. Exponential and logarithm functions
Inverse functions; exponential function; logarithm function; Applications to Economics.
4. Limits and continuity
Definition; calculating limits; continuity
5. Derivatives
Definition and derivation rules; diferentials; derivative of the implicit function; relative extrema; Hôpital's
rule; applications to Economics.

Availability of resolution of exercises on video

Sydsaeter K., Hammond P. e Strom, A (2016), Essential Mathematics for Economic Analysis; Prentice
Hall.
Jacques, I. (2015), Mathematics for Economics and Business; Prentice Hall.
Ferreira M. A. M. e Amaral I. (2008), Matemática - Algebra Linear 1º Vol.; Edições Sílabo.
Larson R., Hosteller R.P. e Edwards B.H. (2006), Cálculo - Vol. 1 ; McGraw-Hill.
Chiang A. (1982), Matemática para Economistas; McGraw-Hill.
Flemming D. M. e Gonçalves M. B. (1992), Cálculo A : funções, limite, derivação, integração; Ed.
Makron Books, 5ª ed.