﻿ Mathematics I - Gestão de EmpresasInstituto Politécnico de Tomar

# IPT

Ano Letivo: 2019/20

# Gestão de Empresas

## Mathematics I

Publication in the Diário da República: Despacho nº 3393/2016 - 04/03/2016

6 ECTS; 1º Ano, 1º Semestre, 75,0 TP , Cód. 915233.

Lecturer
- Ricardo Jorge Viegas Covas (2)
- 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 Mathematical Analysis, Linear Algebra and Linear Programming, and have obtained the mathematical foundations that will allow them to extrapolate mathematical problems to economic problems.

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 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).
1. FUNCTIONS AND DIFFERENTIAL CALCULUS IN IR
1.1. An overview of real value functions of real variable.
1.2. Brief mention to the limits calculation of a function in one variable. The derivative function. Differentiable functions. Geometric interpretation. Derivation rules. Higher derivatives.
1.3. Application of derivatives to the study of functions and to the study of some Economic's problems.

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
- Amaral, I. e Ferreira, M. (2008). Algebra Linear: Matrizes e Determinantes. (Vol. 1). Portugal: Edições Sílabo
- Armstrong, B. e Davis, D. (2003). College mathematics: Solving problems in finite mathematics and calculus.. USA: Pearson Education
- Magalhães Hill, M. e Marques dos Santos, M. (2009). Investigação Operacional - Programação Linear. (Vol. 1). Portugal: 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