Mathematics II

In this curricular unit are used the following teaching methodologies:

1. Vebaismethodologies (say), making use of pedagogical resources: Exhibition, Explanation, Dialogue and Interrogation;

2. Intuitive Methodologies (show), making use of pedagogical resources: Demonstration, Audiovisuals and Written Texts.l

The main objective of the curricular unit is to provide the student with the necessary tools to address a large number of problems, with regard to its formulation, interpretation and reolution. In particular, it is intended that students are able to:

1. Identify various types of matrices; operate with matrices; solve systems of linear equations using matrix algorithms;

2. calculate determinants and use appropriate methods to solve systems of linear equations;

3. apply the main numerical methods to interpolate functions, to solve equations and systems of linear equations, and to perform derivation and numerical integration;

4. characterize vector variable functions with regard to domain, boundaries, continuity and differentiability;

and apply these tools to respond to concrete problems.

I – Matrices and Systems of Linear Equations

II – Determinants and Systems of Linear Equations

III – Introduction to Numerical Methods

IV – Vector Variable Functions

NAO

Anton, H., Rorres, A., Elementary Linear Algebra with Application,Wiley.

Chapra, S. C., Canale, R.P., Métodos Numéricos para Engenharia, McGraw-Hill.

James, G., Modern Engineering Mathematics, 4th Ed , Trans-Atlantic Pubns.

Kreyszig, E., Advanced Engineering Mathematics, John Wiley & Sons.

Lima, E. L., Análise no Espaço lRn, Matemática Universitária, Instituto Nacional de Matemática Pura e Aplicada.

Pina, H., Métodos Numéricos, McGraw-Hill, Lisboa.

Stewart, J., Cálculo, Vol. 2, Pioneira Thomson Learning, São Paulo.

Strang, G., Linear Algebra and its Applications, Thomson Brooks/Cole.