Universidad de Jaén

Developed Theory Contents:

Topic 0. Basic knowledge.

Topic 1. Functional Series. Fourier Series.

Topic 2. Partial differential equations.Euler type equations.Initial condition problems and boundary problems.

Topic 3. Elementary functions of complex variable.

Topic 4. Differentiability of functions of a complex variable. Cauchy–Riemann conditions.

Topic 5. Integration of complex variable functions.  Cauchy integral formula. Main residue theorem.

Topic 6. Integral Transforms.

Topic 7. Line Integral. Green's Theorem. Fundamental Theorem of Line Integrals.

Topic 8. Surface Integral. Divergence Theorem. Stokes' Theorem.

Developed Practice Contents:

Topic 0. Curves and Surfaces in Parametric Forms.

Topic 1. Exercises on Functional Series with Mathematica.

Topic 2. Exercises on Partial Differential Equations. Numerical Solutions of Partial Differential Equations with Mathematica.

Topic 3. Exercises on Complex Variables with Mathematica.

Topic 4. Exercises on Complex Differentiability with Mathematica.

Topic 5. Exercises on Complex Integration with Mathematica.

Topic 6. Exercises on Integral Transforms with Mathematica.

In large group lectures, theoretical aspects of the subject, practical examples, and exercise resolutions will be developed.

In practice group classes, exercises will be solved with the help of a computer.

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%, along with a grade for the work done in practice classes (5%) and a grade associated with a computer practice exam (25%). With this system, the competencies CB1 and CG1 achieved by the student will be evaluated. A positive evaluation will mean that the student has sufficiently achieved learning outcome 5. 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." Additionally, a continuous evaluation methodology may be offered at the beginning of the course.

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.

The timeline, contents and evaluation system will not suffer any changes, although the amount of classes might be reduced providing videos and other material for students to work autonomously instead.

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.

The timeline, contents and evaluation system will not suffer any changes, although the amount of classes might be reduced providing videos and other material for students to work autonomously instead.

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