2023_24
Educational guide 
School of Engineering
A A 
english 
Degree in Mathematical and Physical Engineering (2021)
 Subjects
  LINEAR ALGEBRA
   Learning outcomes
Type A Code Learning outcomes
 CE1 Knows how to operate with dies; Calculate ranks and determinants. Can interpret matrices, operations and results in different contexts
Know how to calculate linear dependency relationships. Understands the notions of bases and dimension. He knows how to change coordinates. Understands the different operations between vector spaces and subspaces and calculates with them
Know the concepts of group, ring and body. It recognizes the structure of vector space in different contexts as well as vector subspaces and applications between them. He has practice in studying RN and knows how to work with other spaces
Is familiar with scalar product calculation and orthogonalization processes
 CE2 Discuss and solve systems of linear equations. Knows how to propose systems and knows how to interpret solutions
Understand the need to transform an array to a predetermined shape. He is able to discuss and calculate the diagonal shape of a matrix, both in the real case and in the complex case
 CE3 Be capable of determining the core and image of a linear application. Know how to represent linear applications matrixially. Understand the relationship between systems of linear equations and know how to change the basis
 CE4 Understand the concept of dual space
Understand the concepts of eigenvalue and eigenvector associated with an endomorphism or a square matrix. He knows how to calculate eigenvector subspace
 CE5 Apply orthogonal projection to the approximate resolution for least squares and to the resolution of systems of oversized linear equations
 CE8 He knows how to calculate linear dependency relationships. Understands the notions of bases and dimension. He knows how to change coordinates. Understands the different operations between vector spaces and subspaces and calculates with them
Apply orthogonal projection to the approximate resolution for least squares and to the resolution of systems of oversized linear equations
Type B Code Learning outcomes
 CT4 Identify the role they play in the group and understand the group’s objectives and tasks
Communicate and act within the group in such a way that they facilitate cohesion and performance
Commit to the group’s tasks and agenda
Participate in the group in a good working environment and help to solve problems
 CT5 Produce quality texts that have no grammatical or spelling errors, are properly structured and make appropriate and consistent use of formal and bibliographic conventions
Draw up texts that are structured, clear, cohesive, rich and of the appropriate length
Draw up texts that are appropriate to the communicative situation, consistent and persuasive
Type C Code Learning outcomes