﻿ Mathematics I - ContabilidadeInstituto Politécnico de Tomar

# IPT

Ano Letivo: 2021/22

## Mathematics I

Publication in the Diário da República: Despacho nº 13772/2014 - 12/11/2014

6 ECTS; 1º Ano, 1º Semestre, 30,0 T + 45,0 PL , Cód. 90561.

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: written test (70%)(mínimum grade 6/20) and project with Microsoft Project (30%).
Final assessment: Closed-book summative test graded 0 to 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
- Marques dos Santos, M. e Magalhães Hill, 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 using Microsoft Project.

Software used in class
GeoGebra