Universidad de Jaén

Development of the program:

Topic 1. Real and complex numbers. Operations with complex numbers.

Topic 2. Matrices. Determinants. Systems of linear equations.

Topic 3. Euclidean vector space. Change of bases in a vector space. Gram-Schmidt orthogonalization method.

Topic 4. Linear applications. Kernel and image of a linear application. Relationship between the matrices of a linear application in different bases.

Topic 5. Diagonalization of matrices. Diagonalization by similarity and congruence.

Topic 6. Affine geometry. Metric problems in the plane and affine space.

Topic 7. Real functions of real variables. Calculation of limits. Study of continuity.

Topic 8. Differentiability of real functions in a variable. Mean value theorems. Optimization problems.

Topic 9. General integration methods.

Topic 10. Definite integral. Fundamental theorem of calculus. Improper integrals.

Development of practice classes:

Topic 0. Introduction to Mathematica. Basic programming concepts.

Topic 1. Real and complex number exercises with Mathematica.

Topic 2. Exercises on matrices, determinants and linear systems with Mathematica.

Topic 3. Vector space exercises with Mathematica.

Topic 4. Linear applications exercises with Mathematica.

Topic 5. Diagonalization exercises with Mathematica.

Topic 6. Affine geometry exercises with Mathematica.

Topic 7. Representation of elementary functions with Mathematica.

Topic 8. Exercises on real functions of real variables with Mathematica.

45 hours will be dedicated to giving expository classes in the classroom.Aspects of CB1 competencies will be developedand CBB1 and the learning outcomes resul-01, resul-02, resul-03, resul-04, resul-05 and resul-08.

In the large group expository classes the theoretical aspects of the subject will be developed, examples will be givenpractical and exercises will be solved.15 hours will be dedicated to doing computer practices in the computer room with the Mathematica program.

As much as possible, at the end of the term, one or two seminars will be held in English, preferably by Visiting Professors. These seminars will cover aspects of the theory and will emphasize practical applications currently used in industry and research, which may be of interest to students.

Students with special educational needs should contact the Student Attention Service (Servicio de Atención y Ayudas al Estudiante) in order to receive the appropriate academic support

The evaluation will consist of a final exam with a weight of 70%, a grade for class exercises and assignments (10%), and a grade associated with a computer practice exam (20%). Additionally, a continuous evaluation methodology may be offered at the beginning of the course. With this system, the competencies CBB1 and CB1 achieved by the students concerning the learning outcomes resul-01, resul-02, resul-03, resul-04, resul-05, and resul-08 will be evaluated. A positive evaluation will mean that the students have sufficiently achieved all the learning outcomes.

Students are reminded that, according to Article 18 of the Academic Regulations and Student Assessment of the University of Jaén, "an exam session will be considered exhausted when the evaluation tests in which the student has participated account for more than 30% of the final grade of the subject."

In the case of not having the possibility of giving the regular courses face-to-face, the theory classes will be recorded and transmited online.

In addition to that, exercises and activities will be proposed in order to allow the student to have some autonomy in the learning process. Different sorts of material will be uploaded to facilitate keeping up with the cours.

In the case of having to do remote classes, this will be achieved by using Google's Meet tool.

Additionally, videos, exercises and other activities will be uploaded to make it easier for the students to follow the cours.

Institution in charge of data processing: Universidad de Jaén, Campus Las Lagunillas, s/n, 23071 Jaén

Data Protection Delegate: dpo@ujaen.es

Purpose: In accordance with the Universities Law and other national and regional regulations in force, carrying out exams and assessment tests corresponding to the courses students are registered in. In order to avoid frauds while sitting the exam, the exam will be answered using a videoconference system, being able the academic staff of the University of Jaén to compare and contrast the image of the person who is answering the exam with the student's photographic files. Likewise, in order to provide the exam with evidential content for revisions or claims, in accordance with current regulation frameworks, the exam will be recorded and stored.

Legitimacy: compliance with legal obligations (Universities Law) and other national and regional regulations currently in force.

Addressees: service providers who are the owners of the platforms where the exams are carried out and with whom the University of Jaén has signed the corresponding data access contracts.

Storage periods: those established in current in force regulations. In the specific case of exam videoconference recordings, not before the examination records and transcripts are closed or the exam can still be reviewed or challenged.

Rights: you can exercise your right of access, amendment, cancellation, opposition, suppression, limitation and portability by sending a letter to the postal or electronic address indicated above. In the event that you consider that your rights have been violated, you may submit a complaint to the Andalusian Council for Transparency and Data Protection www.ctpdandalucia.es

Person in charge: Universidad de Jaén, Paraje Las Lagunillas, s/n; Tel.953 212121; www.ujaen.es

Data protection delegate (DPO): TELEFÓNICA, S.A.U. ; Email: dpo@ujaen.es

Procedure aim: To manage proper recordings of teaching sessions with the aim of facilitating learning process under a multimodal and/or online teaching

Period for record storage: Images will be kept during legal term according to regulations in force

Legitimacy: Data will be managed according to legal regulations (Organic Law 6/2001, December 21, on Universities) and given consent provided by selecting corresponding box in legal admission documents

Data recipients (transfers or assignments): Any person allowed to get access to every teaching modality

Rights: You may exercise your rights of access, rectification, cancellation, portability, limitation of processing, deletion or, where appropriate, opposition. To exercise these rights, you must submit a written request to the Information, Registration and Electronic Administration Service of the University of Jaen at the address above, or by e-mail to the address above. You must specify which of these rights you are requesting to be satisfied and, at the same time, you must attach a photocopy of your ID card or equivalent identification document. In case you act through a representative, legal or voluntary, you must also provide a document that proves this representation and identification. Likewise, if you consider that your right to personal data protection has been violated, you may file a complaint with the Andalusian Data Protection and Transparency Council www.ctpdandalucia.es