Publication in the Diário da República: RCC 21/12/2010 [DR.4928/2011 21.03.2011]
5 ECTS; 1º Ano, 2º Semestre, 30,0 T + 30,0 PL + 15,0 OT , Cód. 964007.
Lecturer
- José Manuel Borges Henriques Faria Paixão (2)
(1) Docente Responsável
(2) Docente que lecciona
Prerequisites
Basics of differential calculus and algebraic calculus.
Objectives
On completion of this module the students should be able to analyse, interpret and formulate integral calculus and linear algebra problems and should have acquired the mathematical skills to extrapolate mathematical problems to economic and social realities.
Program
1. Integral calculus (definition, calculus and applications) 2.Matrices (definition, types of matrices, matrix arithmetic, transposed matrix, rank of a matrix, Gaussian elimination and systems of linear equations); 3. Determinants (definition, properties, Laplace expansion, adjoint and inverse matrices, Cramer's rule and systems of linear equations).
Evaluation Methodology
The same methodology is used both for continuous and exam assessment: 1 summative closed-book test marked 0-20.
Bibliography
- Amaral, I. e Ferreira, M. (2006). Primitivas e Integrais. Portugal: Edições Sílabo
- Ferreira , M. e Amaral, I. (2008). Ágebra Linear: Matrizes e Determinantes. (Vol. 1). Portugal: Edições Sílabo
- Piskounov, N. (2000). Cálculo Diferencial e Integral . (Vol. 1,2). USA: Editora Lopes da Silva
- Strang, G. (2009). Linear Algebra and its Applications. USA: Wellesley Cambridge Press
Teaching Method
Lectures and practical exercises.
Software used in class
