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ISMAT 2091

Linear Algebra

IT Engineering
  • ApresentaçãoPresentation
    This curricular unit deals with the fundamental concepts of mathematical algebra. Matrices, systems of linear equations, determinants, eigenvalues and eigenvectors, vector spaces and linear transformations will be studied. The contents and strategies of teaching / learning addressed promote the development of skills to better understand and develop Computer Engineering projects. In particular, the development of skills for abstraction and calculation, analysis and synthesis, formulation and resolution of algorithms and real-life problems, organization and planning of critical thinking and autonomous learning.
  • ProgramaProgramme
    CP1. Matrices CP2 Systems of linear equations CP3. Determinants CP4. Eigenvalues and eigenvectors of matrices CP5. Vector Spaces CP6. Linear transformations
  • ObjectivosObjectives
    At the end of this unit students should know: OA1. Master the concepts and the elementary operations on matrices; OA2. Discuss and solve systems of linear equations and use the Gaussian elimination method; OA3. Formulate and solve real world problems using systems of linear equations; OA4. Calculate determinants and describe their utility; OA5. Determine eigenvalues and eigenvectors and know how to use them in the process of diagonalization; OA6. Recognize the concepts of vector space and linear transformation and use them to solve problems in these areas; OA7. Identify and use the contents addressed in solving engineering problems; OA8: Relate the mathematical concepts presented with the computer theory
  • BibliografiaBibliography
     A. P. Santana, J. F. Queiró, Introdução à Álgebra Linear, Gradiva, 2010. T. Almada, Álgebra Linear, Universidade Lusófona, 2004. H. Anton, C. Rorres, Elementary Linear Algebra: Application Version, 11ª ed., Wiley, 2014. Gilbert Strang, Linear Algebra, and its Applications, 4ª ed., Thomson, 2006.  
  • MetodologiaMethodology
    The theoretical-practical component is presented using predominantly expositive and formal methods of concepts, based on case discussion, with detailed manual elaboration on the board and explanation of the objectives and contents corresponding to each theme, accompanied by discussion, placement and clarification of doubts. The practical component is based on the discussion and solving of exercises, in groups and individually, on paper and / or using mathematical software tools to support calculations and representations and to identify and correct errors. The assessment is governed by the ISMAT assessment regulation and consists of continuous assessment and a final exam (100% final grade). Continuous assessment consists of two written tests (90% final grade) and active participation in class (10% final grade).
  • LínguaLanguage
    Português
  • TipoType
    Semestral
  • ECTS
    6
  • NaturezaNature
    Mandatory
  • EstágioInternship
    Não