This course aims to put students in contact with various base aspects related to Mathematics, including:
1. Understanding the concept of Mathematical Modelling and other inherent notions.
2. Presentation of the main concepts associated with Statistical Analysis or Equilibrium and their appropriate application in specific situations.
3. Recognising the importance of Matrix Algebra and its practical application in various areas.
4. Acquiring concepts and fundamental notions of Differential Calculus.
5. Exploring connections within and between topics.
6. Making conjectures and justifying reasoning.
7. Discussing strategies to solve a problem and interpreting the results critically.
8. Developing autonomous attitudes.
9. Developing mathematical argument skills, logic - deductive reason, rigorousness and creativity

Matrix systems of linear equations
.Algebraic operations with matrixes
.Inverse matrix
.Linear dependence and independence of lines and columns. The characteristic of a matrix
.Linear equation syst.
.Matrix inversion for the resolution of systems
.Determinant calculus methods
.Application of determinants: Inverse matrix calculus using the adjoint matrix and the resolution of systems following Cramer's rule
Comparative Statistical Analysis
.Revision on functions: exponential function and logarithmic function. The variation rate and derivative
.Limits and their properties. Confrontation theorem. Continuity. Lateral limits.
.Differential calculus: derivatives and derivation rules
.Partial derivatives
Applications
.Economic Models: the ingredients of a mathematical model, real numbers, the concept of set
.The Revenue function, the Cost function and the Profit function
.Relations and functions. Functions with two or more variables
.An analysis of Equilibrium in Economy

A. Chiang, K. Wainwright: Fundamental Methods of Mathematical Economics. McGraw-Hill, 3rd Ed., 2005
Magalhães, Luís T.: Álgebra Linear como introdução a Matemática Aplicada. Texto Editora, 5ª Ed., 1993
Apostol, Tom M.: Calculus. Vol.I, Revert Lda, 1979
Swokowski, Earl W.: Cálculo com Geometria Analítica. São Paulo: Makron Books, 1994
P.A. Samuelson, W.D. Nodhaus: Economia. McGraw-Hill, 16ª Ed., 1999