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
- José Manuel Borges Henriques Faria Paixão (1)(2)
- Ricardo Jorge Viegas Covas (2)
- Cristina Maria Mendes Andrade (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, Mathematical Analysis, and Project Analysis, and have obtained the mathematical foundations that will allow the extrapolation of 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%).
Exam-based assessment: Closed-book summative test graded 0 to 20.
Bibliography
- Anton, H. (2010). Elementary Linear Algebra. USA: John Wiley & Sons
- Ferreira, M. e Amaral, I. (2008). Algebra Linear: Matrizes e Determinantes. (Vol. 1). Portugal: Edições Sílabo
- Strang, G. (2009). Linear Algebra and its Applications. USA: Wellesley Cambridge Press
Teaching Method
Lectures designed to introduce concepts and discuss their applications. Practical lessons are designed to develop autonomy in problem solving, some of them using Microsoft Project.
Software used in class
Microsoft Project
