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.
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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.
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