Universidad de Jaén

1. Real and complex numbers.

2.  Real functions of one and several variables.

Limits and continuity in real functions of one and several variables.

3.  Differentiability in one and several variables.

Derivability. Fundamental theorem of calculus. Differentiability in one and several variables. Optimization in one and several variables. Curves and surfaces in space.

4.  Integration in one and several variables.

Double and triple integral.

5. Numerical and functional sequences and series.

Sequences of real numbers. Limits of numerical sequences. Series of real numbers. criteria of convergence of series of positive terms. Sequences and series of functions. Punctual and uniform convergence.

Classes in practice groups:

0. Introduction to Basic concepts of programming with Mathematica.

1. Real and complex Practices with Mathematica.

2 Real functions in one and several Interpolation polynomial. Practices with Mathematica.

3. Differentiability in one and several Study of extremes. Taylor polynomial. Adjustment for minimums  squares. Practices with Mathematica.

4. Integration in one and several Numerical integration. Practices with Mathematica.

5. Numerical and functional sequences. Practices with Mathematica.

With this methodology, the CGB1 competence will be developed and it will contribute to achieve the learning results. 1,2,11,12,13,14.

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

With this system, the CGB1 competence reached by the student will be evaluated. The positive evaluation will mean that the student has sufficiently achieved the learning outcomes 1,2,11,12,13,14.

During the course, both the theoretical concepts of the subject and the completion of work and practices with a computer will be evaluated. The procedure and dates for the evaluation of these aspects will be detailed more precisely at the beginning of the course. In any case, the virtual platform will appear, at least one week in advance, the dates or the limit of the dates in which said knowledge will be assessed.

The qualifications obtained by the students in the continuous evaluation process in the sections of Submission of work and exam with computer (or in writing) will be maintained in each of the official calls of the academic year.

In accordance with article 18 of the Regulations for the Academic Regime and Student Evaluation of the University of Jaén, an ordinary call will be considered exhausted when the evaluation tests in which the student has participated together account for more than 30% of the the final grade of the subject.

Theory sessions on the contents of the program.

50% face-to-face

30 participatory master class sessions, lasting one hour each, held in the classroom and broadcast by videoconference to the rest of the group. Periodic rotation of students.

Practical sessions.

50% face-to-face

Development of 30 practical sessions, lasting two hours each, in laboratories applying rotation in small groups of 50%.

Retransmission of practical classes to the rest of the group. Tutorials.

Face-to-face + Online

Some tutorial sessions will be held in person and others online (synchronously and asynchronously).

ASSESSMENT SYSTEM

In a multimodal setting, the final exam will be face-to-face.

In the multimodal scenario, the evaluation system remains the same as that of a face-to-face scenario.

RESOURCES

In the multimodal scenario, the electronic resources will be those made available by the Linares EPS.

Theory sessions on the contents of the program

30 participatory master class sessions, lasting one hour each, held by videoconference.

Practical sessions

Replacement of the 30 practical sessions with online training activities. Half of them will be asynchronous and the other half will be synchronous. In both cases, Mathematica will be used in online classes.

Tutorials.

Not face-to-face, by videoconference.

EVALUATION SYSTEM

The final exam will be held online.

In the non-face-to-face scenario, the evaluation system remains the same as that of a face-to-face scenario, except for the delivery of assignments and/or exercises that, if they have not been evaluated during the course, will be replaced by an online presentation.

RESOURCES 

In the remote scenario, videoconferencing with Google-meet and communication through forums created on the virtual platform will be used.

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