ISMAT 2091

Linear Algebra

• ApresentaçãoPresentation

  The curricular unit Linear Algebra belongs to the scientific area of Mathematics and provides the foundations of matrix algebra, vector spaces and linear transformations. These topics constitute an essential basis for several areas of Data Science, including machine learning, optimization, multivariate analysis and data processing.  
• ProgramaProgramme

  S1. Arrays S2 Systems of linear equations S3. Determinants S4. Eigenvalues and eigenvectors of matrices S5. Vector Spaces S6. Linear transformations  
• ObjectivosObjectives

  At the end of this unit students should know:  LO1. Master the concepts and elementary operations on matrices; LO2. Discuss and solve systems of linear equations and use the Gaussian elimination method; LO3. Formulate and solve real world problems using systems of linear equations; LO4. Calculate determinants and understand their utility; LO5. Determine eigenvalues and eigenvectors and know how to use them in the process of diagonalization; LO6. Recognize the concepts of vector space and linear transformation and use them to solve problems in these areas; LO7. Identify and use the contents addressed in solving Data Science problems.  
• BibliografiaBibliography

  Santana, A.P. & Queiró, J. F. (2010). Introdução à Álgebra Linear. Gradiva.
• MetodologiaMethodology

  The teaching methodology includes the expository method (TM1) to present the contents, the demonstrative method (TM2) to illustrate its application to practical cases and the active method (TM3) to solve classroom exercises, with and without the use of a computer. Whenever appropriate, matrix computation and scientific computing software are used to support problem solving and the exploration of concepts.  
• LínguaLanguage

  Português
• TipoType

  Semestral
• ECTS

  6
• NaturezaNature

  Mandatory
• EstágioInternship

  Não