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
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)
MANDATORY READING
Matemática para Economistas (4ª Edição)
Alpha Chiang & Kevin Wainwright
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.
