Quantitative Methods

Secondary level math knowledge.

The following teaching methodologies are used in this course:

1) Verbal methodologies (say), making use of pedagogical resources: exposition, explanation, dialogue and interrogation;

2) Intuitive methodologies (show), using pedagogical resources: demonstration, audiovisuals and written texts.

• Deepen knowledge of real functions, by using the basic mathematical techniques of differential and integral calculus in IR.
• Use of matrix representation and calculation to solve and discuss systems of linear equations using matrix representation and appropriate methods.
• Collect and organize data, calculate measures of central tendency and dispersion, and make correlations.

I. Study of functions

1.1. Overview

1.2. Derivative of a function and its meaning. Derivation rules.

1.3. Primitive function. Primitive rules. Defined integral.

 II. Introduction to Linear Algebra

2.1. Matrices; definition and algebraic operations.

2.2. Solving linear equation  systems – Gauss elimination method.

2.3. Determinants.

2.4. Inversion of  matrices.

 III. Statistic

3.1. Statistical analysis of sample data

3.2. Frequency distribution;

3.3. Central tendency and dispersion measures.

3.4. Analysis of bivariate data.

3.5. Practical application to market studies.

• - 1 written test - 100.0%

• - 6 written tests - 100.0%

NAO

Adams, R. A., Essex, C. (2018). Calculus: A Complete Course. (9ª edição). Pearson Higher Education.

Anton, H., Rorres, C. (2010). Elementary Linear Algebra with Application. (10ª edição), John Wiley and Sons LTD.

Dowling, E. T. (2009). Mathematical Methods for Business and Economics. (1ª edição). McGraw Hill Professional.

Guimarães, R. C., Cabral, J.S. (2010). Estatística. (2ª edição). Verlag Dashofer Portugal.

Maroco, J. (2021). Análise Estatística – com utilização do SPSS. (8ª ed.). Report Number.

Stewart, J. (2014). Cálculo – Volume I. (7ª edição). Cengage Learning.