Educational guide School of Engineering |
english |
Degree in Mathematical and Physical Engineering (2021) |
Subjects |
LINEAR ALGEBRA |
Learning outcomes |
IDENTIFYING DATA | 2023_24 |
Subject | LINEAR ALGEBRA | Code | 17274001 | |||||
Study programme |
|
Cycle | 1st | |||||
Descriptors | Credits | Type | Year | Period | ||||
7.5 | Basic Course | First | 1Q |
Competences | Learning outcomes | Contents |
Planning | Methodologies | Personalized attention |
Assessment | Sources of information | Recommendations |
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 |