## Syllabus 2022-23 - 13111010 - Mathematics 2 (Matemáticas II)

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 Ingeniería electrónica industrial (13111010) FACULTY: SCHOOL OF ENGINEERING OF JAÉN DEGREE: Grado en Ingeniería mecánica (13411010) FACULTY: SCHOOL OF ENGINEERING OF JAÉN DEGREE: Doble grado en Ingeniería eléctrica e Ingeniería electrónica industrial (13711010) FACULTY: SCHOOL OF ENGINEERING OF JAÉN DEGREE: Doble Grado en Ingeniería mecánica e Ingeniería electrónica industrial (13911009) FACULTY: SCHOOL OF ENGINEERING OF JAÉN DEGREE: Doble grado en Ingeniería eléctrica e Ingeniería mecánica (13611010) FACULTY: SCHOOL OF ENGINEERING OF JAÉN DEGREE: Doble grado en Ingeniería mecánica e Ingeniería de organización industrial (13811010) FACULTY: SCHOOL OF ENGINEERING OF JAÉN DEGREE: Grado en Ingeniería eléctrica (13511010) FACULTY: SCHOOL OF ENGINEERING OF JAÉN DEGREE: Grado en Ingeniería de organización industrial (13011010) FACULTY: SCHOOL OF ENGINEERING OF JAÉN ACADEMIC YEAR: 2022-23 COURSE: Mathematics 2
SYLLABUS
1. COURSE BASIC INFORMATION
 NAME: Mathematics 2 CODE: 13111010 (*) ACADEMIC YEAR: 2022-23 LANGUAGE: English LEVEL: 3 ECTS CREDITS: 6.0 YEAR: 1 SEMESTER: SC
2. LECTURER BASIC INFORMATION
 NAME: GARCÍA CABALLERO, ESTHER MARÍA DEPARTMENT: U124 - MATEMÁTICAS FIELD OF STUDY: 595 - MATEMÁTICA APLICADA OFFICE NO.: B3 - 006 E-MAIL: emgarcia@ujaen.es P: 953211914 WEBSITE: - ORCID: https://orcid.org/0000-0001-5889-3145 LANGUAGE: - LEVEL: 3
3. CONTENT DESCRIPTION

THEORY CONTENTS.

BLOCK I: ORDINARY DIFFERENTIAL EQUATIONS.

Unit 1. Introduction to differential equations.

Unit 2. First order differential equations.

Unit 3. Higher order linear differential equations with constant coefficients.

Unit 4. Introduction to the Laplace Transform.

Unit 5. Systems of linear differential equations with constant coefficients.

BLOCK II: NUMERICAL METHODS.

Unit 6. Introduction to Numerical Calculus. Resolution of non-linear equations.

Unit 7. Approximation of functions.

Unit 8. Numerical integration.

Unit 9. Numerical resolution of initial value problems.

PRACTICAL CONTENTS.

The contents that appear in Block II of theory (Numerical Methods) are developed using the Mathematica program.

4. COURSE DESCRIPTION AND TEACHING METHODOLOGY

A1- In the lectures in large groups the contents of Differential Equations will be taught. They will be carried out in the two hours of class assigned weekly in the schedule as theory. The CB1R and CBB1R competencies and R2, R3, R4, R5, R6, R7 and R8 results will be developed.

A2R- Small group classes will be used to teach the contents of Numerical Methods. They will be held in the two hours assigned weekly in the computer rooms. In these classes the contents of Numerical Methods will be explained together with the completion of exercises using the Mathematica program. The CB1R and CBB1R competencies and R2, R3, R4, R5, R6, R7 and R8 results will be developed.

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

To pass the course it is necessary to pass the block of differential equations and the block of numerical methods.

80% of the total grade for the course will be obtained by taking an exam of the entire course. The CB1R and CBB1R competencies will be evaluated as well as the results R2, R3, R6 and R8.

10% of the total grade for the course will be obtained by taking one or more tests on the contents of Numerical Calculus in class time and using the Mathematica program. The CB1R and CBB1R competencies as well as R4, R6, R7 and R8 results will be evaluated.

10% of the final grade will be obtained by completing problems that will be assigned by the teacher or by preparing a paper on applications of ordinary differential equation. The CB1R and CBB1R competencies will be evaluated as well as the R3, R4, R5, R6 and R7 results.

The grades obtained by the students in the sections of work, activities and tests will be maintained in each of the official calls for the academic year.

Students are reminded of the obligation to identify themselves at any time during the tests by ID or equivalent document.

The students are reminded that, according to article 18 of the Regulation of Academic and Evaluation Regime of the Student Body of the University of Jaén, "a call will be considered ended when the assessment in which the student had participated together account for more than 30% of the final grade for the course ".

6. BOOKLIST
MAIN BOOKLIST:
• • Analyse numérique - Algorithme et étude mathématique - 2e édition: Cours et exercices corrigés.. Edition: 2e édition. Author: Francis Filbet.. Publisher: Dunod  (Library)
• • Analyse numérique et équations différentielles. Edition: -. Author: Jean-Pierre Demailly. Publisher: EDP SCIENCES  (Library)
• • Équations Différentielles Ordinaires avec Applications Cours et Exercices. Edition: -. Author: Basem-S. Attili et Rima Cheyatou. Publisher: Elipse  (Library)
7. VIRTUAL / CLASSROOM TEACHING SCENARIO

1) TEACHING METHODOLOGY AND TRAINING ACTIVITIES

 FORMATION ACTIVITIES FORMAT (PRESENTIAL / ON-LINE)* METHODOLOGY TEACHER DESCRIPTION A1- Lectures in Big group Presential rotative 50% (*) Class on schedule and classroom assigned to a part of the group and broadcast by videoconference to the rest, with periodic rotation of students, as determined by the center.   The contents of Differential Equations are taught. CB1R and CBB1R competencies are developed A2- Small group classes Presential rotative 50% (*) Class on schedule and classroom assigned to a part of the group and broadcast by videoconference to the rest, with periodic rotation of students, as determined by the center. Numerical Methods contents are taught. The program Mathematica is used. CB1R and CBB1R competencies will be developed

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

2) EVALUATION SYSTEM

- WHEN IT IS POSSIBLE TO TAKE THE FINAL EXAM IN PERSON

 ASPECT CRITERIA INSTRUMENT WEIGHT Theoretical concepts of the course Domain of the theoretical and practical knowledge of the course Exam 80% Realization of documents, cases or exercises Delivery of  the proposed problem. Development, documentation, originality, spelling and presentation will be valued Delivery of relationships of exercises and / or work. 10% Computer practices Realization of computer practices Realization of tests with computer use about the contents taught from Numerical calculus. 10%

- WHEN IT IS NOT POSSIBLE TO PERFORM THE FINAL EXAM IN PERSON:

 ASPECT CRITERIA INSTRUMENT WEIGHT Theoretical concepts of the course Domain of the theoretical and practical knowledge of the course Exam 60% Realization of documents, cases or exercises Delivery of  the proposed problem. Development, documentation, originality, spelling and presentation will be valued Delivery and possible defense of relationships of exercises and / or work. 20% Computer practices Realization of computer practices Realization of tests with computer use about the contents taught from Numerical operation. Written test 20%

3) RESOURCES NEEDED

- Teaching-learning platform

8. VIRTUAL TEACHING SCENARIO

1) TEACHING METHODOLOGY AND TRAINING ACTIVITIES

 FORMATION ACTIVITIES FORMAT (PRESENTIAL / ON-LINE)* METHODOLOGY TEACHER DESCRIPTION A1- Lectures in Big group Online Class on schedule set by videoconference.   The contents of Differential Equations are taught. CB1R and CBB1R competencies are developed A2- Small group classes Online Class on schedule and classroom set by videoconference. Numerical Methods contents are taught. The program Mathematica is used. CB1R and CBB1R competencies will be developed

2) EVALUATION SYSTEM

 ASPECT CRITERIA INSTRUMENT WEIGHT Theoretical concepts of the course Domain of the theoretical and practical knowledge of the course Exam 60% Realization of documents, cases or exercises Delivery of  the proposed problem. Development, documentation, originality, spelling and presentation will be valued Delivery and possible defense of relationships of exercises and / or work. 20% Computer practices Realization of computer practices Realization of tests with computer use about the contents taught from Numerical operation. 20%

3) RESOURCES NEEDED

- Teaching-learning platform

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