# Mathematics II

**Health Care Services Management**

6 ECTS; 1º Ano, 2º Semestre, 75,0 TP

**Lecturer**

- José Manuel Borges Henriques Faria Paixão

**Prerequisites**

Not applicable.

**Objectives**

On completion of this course unit the students should be able to analyse, interpret and formulate Integral Calculus and Linear Algebra problems and have obtained the mathematical skills that will allow them to extrapolate mathematical problems to economic and social realities.

**Program**

1. Integral calculus (definition, calculus and applications) 2.Matrices (definition, types of matrices, calculations, transposed matrix, Gaussian elimination and systems resolution); 3. Determinants (definition, properties, Laplace Theorem, the adjoint and inverse matrices, Cramer's rule and systems resolution).

**Evaluation Methodology**

The same methodology is used both for ongoing and exam assessment: 1 summative closed-book test marked 0-20.

**Bibliography**

- Ferreira, M. e Amaral, I. (2006). *Primitivas e Integrais*. Portugal: Edições Sílabo

- Ferreira, M. e Amaral, I. (2008). *Álgebra Linear: Matrizes e Determinantes*. (Vol. 1). Portugal: Edições Sílabo

- Strang, G. (2009). *Linear Algebra and its Applications*. USA: Wellesley Cambridge Press

**Method of interaction**

Lectures and tutorials focused on problem-solving.

**Software used in class**