Skip to main content

IPLUSO 1

Mathematics I

Automation and Robotics
  • ApresentaçãoPresentation
    In a post-secondary cycle of studies in the area of technologies and engineering, curricular units in the scientific area of Mathematics play an important role. They are essential for students to acquire the basic knowledge needed in other curricular units of the study cycle that require mathematical knowledge or other skills and competences acquired by working in the units in this area. The Mathematics I unit assumes a fundamental and relevant role in the beginning of students' mathematical training. Mathematical content is essential in the training of qualified staff, both in the understanding and consolidation of different concepts, and in the specific knowledge of their applicability. Concepts of logic, matrices, operations with matrices, calculus of determinants, resolution and discussion of systems of equations and vectors and eigenvalues with application in other areas of the study cycle are explored.
  • ProgramaProgramme
    1. Arrays. Notion, types of matrices, operations, characteristic and invertible matrices. 2. Determinants, notion, properties and Laplace's theorem 3. Systems of linear equations; Solving systems of linear equations Gaussian elimination method and Cramer's rule. 4. Vectors and eigenvalues. Diagonalization of matrices 5. Inner product, outer 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 arrays. - Perform calculations with determinants. - Analyze the nature of systems of linear equations and solve them whenever possible. - Determine eigenvalues and eigenvectors and diagonalize a diagonalizable matrix. - Know the external, internal and mixed product. - Provide post-secondary mathematics "tools" that allow the trainee to apply it in other curricular units of the study cycle and also support for further studies. - Develop reflection and criticism skills.
  • BibliografiaBibliography
    Barroso, M. e Ramos, M.- Métodos Quantitativos para as Ciências Sociais. 1ª Edição. Lisboa. Edições Sílabo. 2001. ISBN 972 618 242 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 Monteiro, A., Marques, C., Pinto, G., - Álgebra Linear e Geometria Analítica. 1ª edição. S. Paulo:Mc Graw Hill, 2000. ISBN: 978 972 829 8
  • MetodologiaMethodology
    Possibility of using appropriate software to carry out certain tasks.
  • LínguaLanguage
    Português
  • TipoType
    Semestral
  • ECTS
    5
  • NaturezaNature
    Mandatory
  • EstágioInternship
    Não