﻿ - Curso de Especialização em Ciências EmpresariaisInstituto Politécnico de Tomar

# Ciências Empresariais

6 ECTS; 1º Ano, 2º Semestre, 75,0 TP , Cód. 203410.

Lecturer
- Ana Cristina Becerra Nata dos Santos (1)(2)

(1) Docente Responsável
(2) Docente que lecciona

Prerequisites
Not applicable.

Objectives
At the end of this module the students will be able to analyse, interpret and formulate problems in Linear Algebra and Linear Programming, and have obtained the mathematical foundations that will allow them to extrapolate mathematical problems to economic problems.

Program
LINEAR ALGEBRA: 1.Matrices(definition, types of matrices, matrix arithmetics, 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). 3. Linear Programming

Evaluation Methodology
Continuous Assessment: two written tests without consultation (50% each and minimum score of 5/20 in each) .
Examination assessment: written test without consult and including all syllabus contents. Approval: at least 10 (out of 20).

Bibliography
- Ferreira, M. e Amaral, I. (2020). Algebra Linear: Matrizes e Determinantes. (Vol. 1). Portugal: Edições Sílabo
- Magalhães Hill , M. e Marques dos Santos, M. (2015). Investigação Operacional - Programação Linear. (Vol. 1). Portugal: Edições Sílabo
- Magalhães Hill, M. e Marques dos Santos, M. (2018). Investigação Operacional, Exercícios de Programação Linear. (Vol. 2). Potugal: Edições Sílabo
- Strang, G. (2016). Introduction to Linear Algebra. USA: Wellesley-Cambridge Press

Teaching Method
Lectures designed to introduce concepts and discuss their applications. Practical classes focusing on problem solving.

Software used in class
Microsoft Excel