Degree | Type | Year |
---|---|---|
2502441 Computer Engineering | FB | 1 |
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Basic concepts on rational and real numbers.
Basic concepts on the method of solution of systems of linear equations.
The course is an introduction to linear algebra, emphasizing the most functional and instrumental aspects of linear techniques.
The basic objective is to achieve a rapid and efficient transition between the three following levels of knowledge:
• Ability to express written reasoning.
• Abstract knowledge of mathematical notions related to linear phenomena.
• To gain insight into mathematical notions by way of hands-on manipulation.
Block I: Complex numbers
Vector representation and polar form of complex numbers. De Moivre's Formula. Calculation of nth roots. Roots of polynomials and polynomial factorization.
Block II: Matrices
Operations with matrices. Invertible matrices. Elemental transformations and row-reduction of matrices. Systems of linear equations. Rank of a matrix. Theorem of Rouché. Rank and linear dependence of rows and columns of matrices. Determinants.
Block III: Vector spaces and linear maps
Vector spaces. Linear combinations. Linear independence of vectors. Bases, dimension and coordinates. Subspaces. Linear maps. Kernel and range of a linear map. Isomorphisms.
Block IV: Diagonalization of matrices
Characteristic polynomial, eigenvalues and eigenvectors of a square matrix. Diagonalization of matrices. Computation of powers of a matrix.
Title | Hours | ECTS | Learning Outcomes |
---|---|---|---|
Type: Directed | |||
Lectures | 30 | 1.2 | 2, 3, 1 |
Type: Supervised | |||
Seminars | 5 | 0.2 | 2, 3 |
Tutorials | 15 | 0.6 | 2, 3, 1 |
Type: Autonomous | |||
Problem solving | 50 | 2 | 2, 3, 1 |
Study of the theoretical concepts | 26 | 1.04 | 2, 3, 1 |
Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.
Title | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
2 Written tests | 70% | 17 | 0.68 | 2, 3, 1 |
Workshops | 30% | 7 | 0.28 | 2, 3, 1 |
The evaluation is based on continuous assessment. There will be two individual written theoretical-practical tests:
The remaining 30% of the final grade will be obtained by means of two tutored workshops and eventually the delivery of problems on the 'Campus Virtual'.
There will be a resit exam corresponding to the two previous theoretical and practical tests, corresponding to 70% of the final grade. There is no resit exam corresponding to the two workshops of the course. This method of assessment will be the same for all the students enrolled, regardless of the number of times they have enrolled in the subject.
In order to pass the course, the total assessment must exceed 5 points out of 10: corresponding to the grade for the workshops and the two theoretical-practical tests, as long as the weighted average of the theoretical-practical tests reaches a minimum of 4 over 10. In case of having to take the resit exam, the grade of the course will be computed by taking the weighted average of the grade of the workshops and the resit test of the two theoretical-practical tests.
The "non-evaluable" qualification will be awarded only to students who do not turnout at the second theoretical-practical test nor at the resit exam and who have not committed any irregularity that may lead to a variation of the qualification ofan instance of evaluation. In the case of not passing the subject, the numerical grade will be the lowest value between 4 and the weighted average of the grades of the different tests. Notwithstanding other disciplinary measures thatmay be deemed appropriate, and in accordance with the current academic regulations, the irregularities committed by the student that can lead to a variation of the qualification of an instance of evaluation will result in obtaining zero marks for the corresponding instance. Therefore, copying or letting someone else copy during an exam/workshop or any other situation where assessment is being carried will entail failing the said activity, without the chance of being recovered during the same academic year. If this activity has a minimum associated mark, then the student will fail the subject. These irregularities include, among others:
The dates for tests corresponding to continuous assessment will be published on the virtual campus and may be subject to possible changes of programming, due to possible incidents; the virtual campus will be the usual platform for exchanging information between lecturers and students. For each of the different assessment activities,the lecturer will establish a date to handle claims or clarify doubts about the mark obtained. Whenever the academic calendar allows it, this review of examinations will take place approximately one week after the marks have been made public. Students with a mark greater than or equal to 9.4 will be able to obtain a "Matrícula d'Honor" and these will be decided upon the completion of all the evaluation tests. This will depend on the lecturer of the group to which the student(s) belongs, with the help of all the lecturers of the course if necessary.
The assigned transversal competence is in all the evaluations and workshops of the subject,butmore explicitly in the theoretical part of the theoretical-practical tests, where scientific thinking is absolutely necessary to be able to answer them. In particular, there will be a question about reasoned argumentation of scientific statements of the subject.
Unique assessment
Students who have accepted the single assessment modality will have to take a final test which will consist of a theory and problem test. These tests will take place on the same day, time and place as the tests of the second part of the continuous assessment modality. When it has finished, it will deliver the mandatory workshops and delivery in the continuous assessment activities.
The student's grade will be the weighted average of the previous activities, where the theory exam will account for 70% of the grade and the workshops and presentations 30%.
If the final grade does not reach 5, the student has another opportunity to pass the subject through the remedial exam that will be held on the date set by the degree coordinator. The workshop and deliveries part is not recoverable.
In case of doubt about the interpretation of the evaluation method, the Catalan written version remains as the reference.
In this course, the use of software will not be evaluated, but calculation tools such as Sage or Maxima may eventually be used.
Name | Group | Language | Semester | Turn |
---|---|---|---|---|
(PAUL) Classroom practices | 411 | Catalan | first semester | morning-mixed |
(PAUL) Classroom practices | 412 | Catalan | first semester | morning-mixed |
(PAUL) Classroom practices | 431 | Catalan | first semester | morning-mixed |
(PAUL) Classroom practices | 432 | Catalan | first semester | morning-mixed |
(PAUL) Classroom practices | 451 | Catalan | first semester | afternoon |
(PAUL) Classroom practices | 452 | Catalan | first semester | afternoon |
(SEM) Seminars | 411 | Catalan | first semester | morning-mixed |
(SEM) Seminars | 412 | Catalan | first semester | morning-mixed |
(SEM) Seminars | 431 | Catalan | first semester | morning-mixed |
(SEM) Seminars | 432 | Catalan | first semester | morning-mixed |
(SEM) Seminars | 451 | Catalan | first semester | afternoon |
(SEM) Seminars | 452 | Catalan | first semester | afternoon |
(TE) Theory | 41 | Catalan | first semester | morning-mixed |
(TE) Theory | 43 | Catalan | first semester | morning-mixed |
(TE) Theory | 45 | Catalan | first semester | afternoon |