# Mathematics I

**Business Administration**

ECTS; º Ano, , 0,0 T + 0,0 PL + 0,0 TP + 0,0 P + 0,0 TC + 0,0 S + 0,0 E + 0,0 OT + 0,0 O

**Lecturer**

- José Manuel Borges Henriques Faria Paixão

- Cristina Maria Mendes Andrade

**Prerequisites**

Knowledge of algebraic calculus.

**Objectives**

At the end of this module the students will be able to analyse, interpret and formulate problems in Linear Algebra and projects with networks, and have obtained the mathematical skills that will allow the extrapolation of mathematical problems to economic and social realities.

**Program**

PROJECT ANALYSIS WITH NETWORKS: 1. Introduction to Microsoft Project 2. CPM and PERT 3. Financial analysis

LINEAR ALGEBRA: 1.Matrices(definition, types of matrices, matrix arithmetic, rank of a matrix, Gaussian elimination and systems of linear equations); 2. Determinants (definition, properties, Laplace expansion, The adjoint and inverse matrices, Cramer's rule and systems of linear equations).

**Evaluation Methodology**

Continuous assessment: written test (70%) (minimum grade 6) and project in Microsoft Project (30%).

Exams assessment: Closed-book written test graded from 0 to 20.

**Bibliography**

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

- Anton, H. (2010). *Elementary Linear Algebra*. USA: John Wiley & Sons

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

**Method of interaction**

Lectures and practical classes some of them working with Microsoft Project.

**Software used in class**

Microsoft Project