ISLA IPGT 2091

Linear Algebra

• ApresentaçãoPresentation

  The main objective of this course is to equip students with fundamental knowledge in the fields of Algebra and logical and mathematical reasoning. The aim is that, through various theoretical and practical strategies, students can apply the knowledge acquired throughout the semester and solidify their Computational Thinking, which is essential for a future in the field of Computer Science.
• ProgramaProgramme

  Matrices and Systems of linear equations: Operation with matrices Transpose of a matrix Inverse matrix Systems of linear equations Gaussian elimination Determinants: Computation of determinants of order 2 and order 3 Sarrus' rule Laplace's rule Properties of determinants Cramer's rule Vector Spaces: Vectors and operations Definition and properties Linear combination Linear dependence and independence Vector subspace Basis and dimension of a vector space Change of basis Linear Transformations: Definitions and properties Image and Kernel of a linear transformation Eigenvectors and eigenvalues: Definition Properties Diagonalization Applications
• ObjectivosObjectives

  At the end of the course, the student should be able to: Perform basic matrix calculation operations. Use matrix theory to study and solve systems of linear equations. Interpret and apply the concepts associated with vector spaces and their eigenvalues and eigenvectors. Recognize the importance of algorithms in the applications of linear algebra. Apply the techniques of linear algebra in analytical geometry. He must also have developed the capacity for abstraction and demonstration.
• BibliografiaBibliography

  Course Unit notes provided by the teacher.
• MetodologiaMethodology

  The approach to the topics taught will be straightforward, with the student playing a key role in expressing and identifying their gaps, both in terms of mastery of the material and in its correct interpretation and application. In the first part of the class, the new contents will be presented, reinforced in the second part, by independent exercise resolution or collectively with the teacher, when necessary. Students will be evaluated through two Midterm Tests or one Global Test (the student can choose), with an attendance component included.
• LínguaLanguage

  Português
• TipoType

  Semestral
• ECTS

  5
• NaturezaNature

  Mandatory
• EstágioInternship

  Não
• AvaliaçãoEvaluation

  Method 1 - Distributed Evaluation: 

  Description	Percentage
  Midterm Test 1 (MT1)	45%
  Midterm Test 2 (MT2)	45%
  Attendance	10%

   

  Method 2 - Global Evaluation: 

  Description	Percentage
  Global Evaluation Test (GET)	90%
  Attendance	10%

  Important Notes:

  • Each student can only choose ONE of the two methods. 
  • The evaluation is scaled in 0 to 20 values. In order to pass the Curricular Unit, the student must have a minimum final grade of 9.5 values.
  • Each Midterm test has a minimum grade of 7.5 values. Failing to achieve that minimum grade on either Test implies failing the evaluation.
  • A student that chooses to take the First Midterm Test forfeits the possibility to take the Global Evaluation Test, and must have the minimum grade of 7.5 values to be eligible to the Second Midterm Test.
  • Attendance as an evaluation element aims to encourage class attendance and will only be considered if the percentage of attendance is greater than or equal to 70%.
  • All students who have not successfully completed the evaluation process can take a Final Exam during the Exam Period defined by the institution, at the end of the semester.