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IPLUSO 2228

Mathematics

Cybersecurity
  • ApresentaçãoPresentation
    In a post-secondary cycle of studies in the area of technologies and engineering, the curricular units in the scientific area of Mathematics play a relevant role. Are essential for students acquire basic knowledge needed in other curricular units of the study cycle that require mathematical knowledge or skills and competences acquired through work in the units in this area. The Mathematics unit plays a fundamental and relevant role in the beginning of students' mathematical training. Mathematical contents are essential in the formation of qualified staff, both in understanding and consolidating different concepts, or in specific knowledge of their applicability and the development of new ones. skills and competences acquired from working in the course. Much of what is explored about matrices has wide application in other areas of the study cycle.  
  • ProgramaProgramme
    1. Matrices: notion and properties. Operations with matrices. 2. Characteristics and Condensation of matrices. 3. Systems of linear equations. Types of systems. Discussion and resolution of systems. 4. Invertible matrices. 5. Determinants: Concept and properties. 6. Complementary minors and adjunct matrix. Laplace's theorem. Cramer's rule. 7. Vectors and eigenvalues. Similar matrices. Diagonalization of matrices. 8. Vector spaces. Linear combination and independence. Bases and dimension. 9. Internal product, external product and mixed product.      
  • ObjectivosObjectives
    - Operate with matrices. - Know the properties of operations with matrices. - Distinguish different types of matrices and identify their properties. - Condense and reduce matrices. - Calculate inverse matrices - Analyze the nature of systems of linear equations and solve them whenever possible. - Know the properties of determinants and perform calculations with determinants. - Complementary minors and assistant. Laplace's Theorem. Cramer's Rule. - Determine eigenvalues and eigenvectors and diagonalize a diagonalizable matrix. - Calculate and interpret geometrically the inner, outer and mixed product. - Acquire skills in terms of logical and deductive reasoning, ability to abstract; - Develop reflection and criticism skills. - Encourage persistence in analyzing situations and making decisions.              
  • BibliografiaBibliography
    Simões, Vasco - Álgebra Linear. 1ª Edição. Lisboa: Edições Orion. 2013. ISBN: 978 972 862 0240 Cabral, I., Perdigão, C., Saiago C. - Álgebra ¿ Teoria e Exercícios. 1ª Edição. Lisboa: Escolar Editora. 2009. ISBN: 978 972 592 239 2 Magalhães, L. T. , Álgebra Linear como introdução à Matemática Aplicada, Texto Editora, 2001 Monteiro, A.; Pinto, G. (1997). Álgebra Linear e Geometria Analítica. Problemas e exercícios, McGraw-Hill.  
  • MetodologiaMethodology
    Possibility of using appropriate software to carry out certain tasks.
  • LínguaLanguage
    Português
  • TipoType
    Semestral
  • ECTS
    6
  • NaturezaNature
    Mandatory
  • EstágioInternship
    Não