|
Learning outcomes |
This course has as its main objective the study, though at a basic level, of two fundamental areas of Mathematics, Linear Algebra and Graph Theory, which are an essential tool in the scientific area of Informatics.
Prove elementary results involving sets;
Solve problems using the rules and methods of propositional calculus;
Identify square, rectangular, diagonal and symmetric matrices;
manipulate matrices.
Solve and classify systems of linear equations;
Identify the most important properties of determinants;
Apply determinants to solve systems of linear equations and to obtain the inverse of a matrix;
Classify graphs;
Construct the incidence matrix and the adjacency matrix of a graph.
|
|
Main Bibliography |
I. Cabral, C. Perdigão, C. Saiago, Álgebra linear: teoria, exercícios resolvidos e exercícios propostos com soluções, Escolar Editora, 2009.
S. Lipschutz, Álgebra linear: resumo da teoria, São Paulo: McGraw-Hill do Brasil, 1972.
D. Cardoso, J. Szymanski e M. Rostami, Matemática Discreta, Escolar Editora, 2009
A. Monteiro e I. Matos, Álgebra um primeiro curso, Escolar Editora, 1995
F. Oliveira, Teoria de Conjuntos intuitiva e axiomática, Escolar Editora, 1982
K. Rosen, Discrete Mathematics and its applications. MCGRAW-HILL EDUCATION - EUROPE
A. Jeffrey, Matrix operations for engineers and scientists, Springer.
|