## Syllabus 2022-23 - 11712019 - Mathematical Analysis (Análisis matemático)

Caption
• Level 1: Tutorial support sessions, materials and exams in this language
• Level 2: Tutorial support sessions, materials, exams and seminars in this language
• Level 3: Tutorial support sessions, materials, exams, seminars and regular lectures in this language
 DEGREE: Grado en Estadística y empresa FACULTY: FACULTY OF LAW AND SOCIAL SCIENCES ACADEMIC YEAR: 2022-23 COURSE: Mathematical Analysis
SYLLABUS
1. COURSE BASIC INFORMATION
 NAME: Mathematical Analysis CODE: 11712019 ACADEMIC YEAR: 2022-23 LANGUAGE: English LEVEL: 3 ECTS CREDITS: 6.0 YEAR: 1 SEMESTER: PC
2. LECTURER BASIC INFORMATION
 NAME: ROCA RODRÍGUEZ, FRANCISCO DE PAULA DEPARTMENT: U124 - MATEMÁTICAS FIELD OF STUDY: 015 - ANÁLISIS MATEMÁTICO OFFICE NO.: B3 - 024 E-MAIL: froca@ujaen.es P: 953212204 WEBSITE: http://www.pacoroca.es ORCID: https://orcid.org/0000-0001-8717-0659 LANGUAGE: - LEVEL: 3
3. CONTENT DESCRIPTION

```1. The field of real numbers.
2. Sequences of real numbers
3. Series of real numbers
4. Functions. Derivation of functions of a real variable.
5. Integration of functions of a real variable.
6. Functions of several real variables: limits, continuity,
derivability and integration.
```

4. COURSE DESCRIPTION AND TEACHING METHODOLOGY

```The classes will be theoretical-practical, mixing the
explanation of content with exercises for each of the
concepts.
```

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

5. ASSESSMENT METHODOLOGY

```There will be a final exam of the subject that will consist
of

Real numbers
inheritance
sets
derivatives
Integrals
Functions of several variables
The work will be evaluated for each topic or group of them, and
part of the content of the subject may be eliminated, for the June
call, prior to the exam, demonstrating their mastery through class
tests, partial tests of various contents or continuous evaluation.

These midterms will allow you to remove a part of the subject or
all of it before the end, notwithstanding not showing up at the
end, even if all of them have been passed, it will mean appearing
as NOT PRESENTED (the student must confirm that they accept the
grade, in case of not showing up at the end it is understood that
you reject the accumulated qualifications and wish to present
yourself in a new call).

These partial marks will only be valid for the ordinary call for
```

6. BOOKLIST
MAIN BOOKLIST:
• Cálculo de una variable : conceptos y contextos . Edition: 4ª ed. Author: Stewart, James. Publisher: Cengage learning  (Library)
7. VIRTUAL / CLASSROOM TEACHING SCENARIO

```A1 Expository classes in a large group

On-site rotating 50%

Class at the time and classroom assigned to a
part of the group and retransmission by
videoconference to the rest, with rotation
period of students, as determined by the
Center.

The Center may establish a different attendance percentage
depending on the
number of students and classroom/laboratory capacity in accordance
with sanitary measures.

In the case of a multimodal or mixed scenario, and as it is
referred to in the face-to-face mode, the same sessions will be
held (theoretical, exercises and flipped classroom). In that case,
the flipped classroom will increase in percentage to ensure that,
being non-face-to-face, the synchronous sessions achieve greater
knowledge and assimilation of content.

Tutorials will be 100% virtual by appointment.

The evaluation system and resources will be as in the face-to-face
model.
```

8. VIRTUAL TEACHING SCENARIO

```In the case of a non-face-to-face scenario, the same sessions
(theoretical, exercises and flipped classroom) will be held as in
face-to-face and mixed cases, but by means of video conferences
(synchronous sessions) and will be used for asynchronous content
sessions (using the channel created from YouTube with the content).
In that case, the flipped classroom will increase in percentage to
ensure that, being non-face-to-face, the synchronous sessions
achieve greater knowledge and assimilation of content.

Tutorials will be 100% virtual by appointment.

The evaluation and the resources will be as in the face-to-face
case.
```

DATA PROTECTION CLAUSE (on line exams)

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

CLASS RECORDING CLAUSE PERSONAL DATA PROTECTION

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