Mathematics Applied to Management

Cursos: *Degree in Management*

Cod: 21158

Department: DCET

Department: DCET

ECTS: 6

Scientific area: Mathematics

Scientific area: Mathematics

Total working hours: 156

Total contact time: 26

Total contact time: 26

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

Differentiation

Analysis of equilibrium

Matrix Algebra

Differentiation

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)

1.1 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)

MANDATORY READING

Eslsevier – Editora Campus

ISBN 13 – 9788535217698

RECOMMENDED READING

*Matemática para Economistas*(4ª Edição)

Eslsevier – Editora Campus

ISBN 13 – 9788535217698

RECOMMENDED READING

E-learning

Continuous assessment is privileged: 2 or 3 digital written documents (e-folios) during the semester (40%) and a
presence-based final exam (p-folio) in the end of the semester (60%). In due time, students can alternatively choose to perform one
final presence-based 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.

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