Degree | Type | Year | Semester |
---|---|---|---|
2503743 Management of Smart and Sustainable Cities | FB | 1 | 1 |
It is advisable to have studied Mathematics, whether scientific or social, in the Baccalaureate. If you have not, it is recommended to take the introductory course in mathematics offered by the University.
The aim of the Mathematics subject is to provide the student with the mathematical concepts and tools necessary to understand, develop and evaluate the processes of the systems present in a smart city.
The contents of the subject are divided into four main blocks:
Block I. Differential and integral calculus.
Topic 1. Functions, continuity, limits, derivability.
Topic 2. Applications of the derivative: graphic representation and optimization.
Topic 3. Integration of functions and their applications.
Block II. Linear algebra
Topic 4. Systems of linear equations.
Block III. Descriptive statistics.
Topic 5. Introduction to descriptive statistics.
Block IV. Discrete Mathematics
Topic 6. Introduction to discrete mathematics.
The activities that could not be done onsite will be adapted to an online format made available through the UAB’s virtual tools.
The teaching methodology to follow is oriented to the learning of the subject by the student on a continuous basis. This process is based on the realization of three types of activities that will be developed throughout the course: theory classes, seminars of problems and practices with computer:
Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.
Title | Hours | ECTS | Learning Outcomes |
---|---|---|---|
Type: Directed | |||
Problem seminars | 18 | 0.72 | 1, 2, 3, 13, 6, 7, 8, 9, 10 |
Theory lessons | 26 | 1.04 | 1, 2, 3, 13, 6, 8, 9, 11, 10 |
Type: Supervised | |||
Computer practice | 6 | 0.24 | 1, 4, 2, 3, 13, 5, 6, 8, 9, 10, 14 |
Type: Autonomous | |||
Problem solving | 50 | 2 | 1, 2, 3, 13, 6, 7, 8, 9, 10 |
Study | 42 | 1.68 | 1, 2, 3, 13, 6, 7, 8, 9, 12, 11, 10 |
In the event that assessment activities cannot be taken onsite, they will be adapted to an online format made available through the UAB’s virtual tools (original weighting will be maintained). Homework, activities and class participation will be carried out through forums, wikis and/or discussion on Teams, etc. Lecturers will ensure that students are able to access these virtual tools, or will offer them feasible alternatives.
The evaluation of the subject will be done in a progressive form and continued during all the semester. The system of evaluation bases in the following rules:
a) Process and activities of evaluation
The following activities are foreseen:
In order to pass the subject, it will be necessary to take out a minimum grade of 5 in the activities, A, C and D. It is necessary to bear in mind that the Activities A and B are “not recoverable”. Therefore, not passing the activity A within the established deadline with a grade higher to the indicated previously (5), supposes not being able to approve the subject.
b) Schedule of evaluation activities
The schedule of evaluation activities will be given the first day of class and will be made public through the Virtual Campus (Moodle) and in the web of the School of Engineering, at the section of examinations. The following schedule is foreseen:
+ Activity A: to complete before the ending of the classes (December 23, 2022).
+ Activity B: it will be communicated during the first week of class.
+ Activity C: Examination block I (partial): 9 November 2022 . Final examination and Recovery: dates to determine by the School (January of 2023 ).
+ Activity D: Final Examination and Recovery: dates to determine by the School (January of 2023).
If the student passes the activity C (takes out more than or equal to 5) in the partial examination, frees this part of subject (activity approved) and only will have to present to the examination of the blocks III and IV (Activity D) in the date of the final examination (January of 2023). If the student does not approve the activity C in the partial examination, he/she will have to present to this examination (activity C) jointly with the activity D in the date of the final examination. To approve the activity A there will be available two possibilities along the semester.
c) Process of re-taking
For those students that at the end of the process of evaluation have not obtained an equal or higher qualification to 5 in the activities C and D, there will be a re-evaluation. This will consist in the realisation, in the planned date by the School, of an examination containing representative contents of the situations worked during the course. The students only will have to present to the examination of the activity that have not approved before. If a student does not arrive to the minimum grade of 5 in any of the activities A, C or D and by this reason does not approve the subject, the final grade will be of 4,5 at most, that is to say, the same to the value of the average grade if it is inferior to 4,5 or 4,5 if it is higher.
d) Procedure of review of the qualifications
For each evaluation activity, a place, date and hour of review will be indicated in which the student will be able to review the activity with the professor. In this context, he will be able to do claims on the grade of the activity, that will be evaluated by the professors responsible of the subject. If the student does not take part of this review, this activity will not be reviewed later.
e) Qualifications
The final grade of the subject will be calculated by using the weights mentioned in section a). It is necessary to take into account that:
f) Irregularities by part of the student, copy and plagiarism
Notwithstanding other disciplinary measures deemed appropriate, and in accordance with the academic regulations in force, assessment activities will receive a 0 score whenever a student commits academic irregularities that may alter such assessment. The assessment activities qualified in this way and by this procedure will not be recoverable. If you need to pass any of these assessment activities to pass the subject, this subject will be failed directly, without opportunity to recover it in the same course These irregularities include, among others:
g) Evaluation of the students taking the course for second time
For those students taking the course for second time, the grades of the activities B, C and D are not rolled over from one course for the following. Nevertheless, the mark of the Moodle tests (Activity A) will be rolled over. The validation of the grade will be carried out ex officio, without the express request of the student being necessary.. The students taking the course for the second time follow the same norms of evaluation that any one another student.
Title | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
Activity A | 5 | 2 | 0.08 | 4, 5, 6, 9, 12 |
Activity B | 15 | 2 | 0.08 | 1, 4, 2, 3, 13, 5, 6, 7, 8, 9, 12, 11, 10, 14 |
Activity C | 40 | 2 | 0.08 | 1, 2, 3, 13, 6, 9, 12, 10 |
Activity D | 40 | 2 | 0.08 | 7, 8, 9, 12 |
Platform used for the communication with students: Moodle.
Basic bibliography:
P. García, J.A. Núñez del Prado, A. Sebastián, Iniciación a la matemática universitaria, Ed. Thomson, 2007.
J. de Burgos, Cálculo infinitesimal, McGraw-Hill, 2007.
Rosa Barbolla, Paloma Sanz, Teoría de matrices y aplicaciones, Prentice-Hall, 2002.
J. Arvesú, R. Álvarez-Nodarse, F. Marcellán, Álgebra lineal y aplicaciones, Ed. Síntesis, 1999.
K. H. Rosen, Matemática discreta y sus aplicaciones, McGraw-Hill, 2004.
C. Fernández-Cuesta, F. Fuentes, Curso de estadística descriptiva, Ed. Ariel, 1995.
J. Calvo, Scilab Programación y simulación, Ed. RA-MA, 2009.
A. Gilat, J. A. Macías, Matlab, Una introducción con ejemplos prácticos, 2006.
N. Quezada, Estadística para Ingenieros, Ed. Marcombo, 1º Edición, 2020.
A. Herrero de Egaña, M. Matilla García, A. Muñoz Cabanes, Cálculo Diferencial para Economía y Empresa, Mc-Graw-Hill, 1º Edición, 2020.
The subject will use the program of scientific computation GeoGebra for the part of Calculus and Excel for the part of Statistics.