What are you looking for?
B1_That students have demonstrated knowledge and understanding in a field of study that is based on general secondary education, and is accustomed to finding at a level that, although with the support of advanced textbooks, also include some aspects that involve knowledge from the forefront of your field of study
B3_Students have the ability to gather and interpret relevant data (usually within their area of study), to make judgments that include reflection on relevant social, scientific or ethical issues
B4_That students can convey information, ideas, problems and solutions to both specialized and non-specialized audiences
EFB1_Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge about: linear algebra, differential and integral calculus, numerical methods, numerical algorithms, statistics and optimization
T1_That students know a third language, which will be preferably English, with an adequate level of oral and written form, according to the needs of the graduates in each degree
The subject enables the student to understand and / or solve mathematical problems, which may arise in engineering, related to linear algebra.
This subject has methodological and digital resources to make possible its continuity in non-contact mode in the case of being necessary for reasons related to the Covid-19. In this way, the achievement of the same knowledge and skills that are specified in this teaching plan will be ensured.
The learning outcomes specify the specific measure of the competencies worked on.
This subject contributes to the following learning outcomes specified for the subject to which it belongs:
The classes will be master classes (development of the theory and practical examples) and participatory (conceptual questions, guided resolution of exercises and presentation of exercises by the students).
Sets and their operations
Cartesian product of sets, correspondences and applications
Vectors and matrices
Vectors and systems of linear equations
Operations with matrices
Vector spaces and bases
Linear applications
Linear applications and associated matrices
Basic changes in a linear application
Geometry of the plane and space
Equations of lines and planes
Relative positions of straight lines and planes
Related transformations
Master class: development of theory and practical examples.
Participatory class: collaborative instruction with conceptual questions and resolution of exercises guided by the teacher (collect evidence of learning of almost all expected results, as a guide for self-assessment of the student and their active participation in class) .
Resolution and presentation of exercises: resolution and presentation of exercises by students (collect evidence of all expected results, especially RA6).
Evaluation exercises: four exercises, one per topic, which collect evidence of general learning (LO3), and more specific as indicated below:
90% Tests
There will be two exams during the course (45% each test), a first partial (2 first subjects) and a final exam with 4 questions each. Those who have failed the first exam will have to be examined in this part in the final exam. Those who have passed the first part will not have to take, in this part, the final exam (the first part is a liberating subject). Students who fail the final exam will go for recovery. The maximum mark on recovery is 6 points.
10% Active participation in class
It will be evaluated based on the participation in class and the answers to the questions that the teacher will propose during the development of the classes.
Castellet, M .; Llerena, I. (1988): Linear algebra and geometry. Bellaterra: Publications of the Autonomous University of Barcelona
Lay, David C; Murrieta Murrieta, Jesús Elmer (2007). Linear algebra and its applications. 3ª ed. Pearson Education
Holt, Jeffrey (2013). Linear Algebra with Applications. Freeman
Queysanne, Michel (1990). Basic Algebra. Vicens-Vives