Matemática Aplicada à Gestão (LGVR)
Cod: 21191
Department: DCSG
Scientific area: Mathematics
Total working hours: 156
Total contact time: 15

In this curricular unit we will use some methods from mathematics as well as basic tools from matrix algebra and differential calculus applied to business managements problems.

Economic models
Analysis of equilibrium
Matrix Algebra

To use the elementary tools from matrix algebra and differential calculus to formulate, model and solve business management problems.


1. Economic models

1.1 Components of a mathematical model

1.2 Revision: Sets, relations and functions

2. Analysis of equilibrium in economics

2.1 The meaning of equilibrium

2.2 Equilibrium in market or economic models of one variable, linear and quadratic

2.3 Matrix algebra (operations, transpose and inverse, determinants and inversion)

2.4 Equilibrium in market or economics linear models of several variables.

3. Compared static analysis

3.1 The nature of static analysis

3.2 Limits, continuity, differentiation, partial differentials, differentials, derivatives of implicit functions.

3.3 Compared static in models of general functions

4. Some optimizations problems (one variable – 2º derivative test)

1. Matemática para Economistas (4ª Edição), Alpha Chiang & Kevin Wainwright, Eslsevier – Editora Campus, ISBN

13 – 9788535217698.

2. Ana Paula Quelhas e Fernando Correia, “Manual de Matemática Financeira” (2018 - 4.ª edição revista) Edições




Continuous assessment is privileged: 2 digital written documents (e-folios) during the semester (40%) and a final digital test, Global e-folio (e-folio G) at the end of the semester (60%). In due time, students can alternatively choose to perform one final exam (100%).

Very good computer skills; Computer vocabulary; Word processing; Internet.

Basic texts are written in Portuguese, however students are recommended to be competent in English because complementary readings

may be in English