Degree | Type | Year | Semester |
---|---|---|---|
2503758 Data Engineering | FB | 1 | 1 |
You can check it through this link. To consult the language you will need to enter the CODE of the subject. Please note that this information is provisional until 30 November 2023.
The mathematical content of the Baccalaureate
On the one hand, there will be a review of the fundamental concepts studied in the Baccalaureate. On the other hand, new concepts (such as calculus and integration in several variables) will be introduced. Special emphasis will be placed on the use of all these tools in data processing.
1. Functions of one variable
1.1. Domains. Inequalities, limits and continuity.
1.2. Derivation. Absolute and relative extremes.
1.3. Graphical representation of functions
1.4. The Taylor Formula and its applications.
1.5. Zero functions of one variable. Bisection and Newton methods.
2. Sequences of real numbers.
2.1. Cauchy's sequences. The comcept of limit. Calculation of limits.
3. Integration
3.1. Definitions and interpretation.
3.2. Integration techniques: Parts and change of variables. Rational integrals.
3.3. The defined integral. Fundamental calculus theorem. Calculation of areas.
4. Functions of several variables.
4.1. Curves and level surfaces.
4.2. Continuity.
4.3. Partial derivatives. Chain rule.
4.4. Gradient and directional derivatives.
4.5. Differentiable functions. Tangent planes.
4.6. Maximum and minimum values. Relative extremes.
4.7. Optimization. Gradienet and Lagrange method.
5. Multiple integration.
5.1. Iterated integrals. Fubini's theorem.
5.2. Variable changes. Polar, cylindrical and spherical coordinates.
There will be two hours a week of theoretical classes in which we will introduce the concepts and state the results that form the fundamentals of the course.
Students will receive exercise lists in which they work in the two hours per week of practical classes. Previously, they will have read and worked on the proposed exercises and problems. This will ensure participation in the classroom and facilitate the assimilation of the concepts.
THE VIRTUAL CAMPUS will be used as an essential means of communication. It is recommended to use the institutional email of the teachers, which appears in this guide. Students who want to contact teachers by email must use the institutional address provided by the university (campus.uab.cat). Naturally, students will have tutoring hours (to be agreed upon) in the teachers' offices.
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 | |||
Preparation of partial tests | 15 | 0.6 | |
Problem Classes | 24 | 0.96 | 4, 6, 1, 5, 2, 3, 7 |
Theory Classes | 24 | 0.96 | 4, 6, 1, 5, 2, 3, 7 |
Type: Autonomous | |||
Resolution of problems and delivery of evaluable problems | 37 | 1.48 | 4, 6, 5, 2, 3, 7 |
Theory study | 25 | 1 |
a) Evaluation process and activities planned
The course consists of the following assessment activities
Recoverable activities:
Two mid-term exams E1 and E2 with a weight of 60% of the final grade (25% for the first and
35% for the second).
Non-recoverable activities:
Two or three problem papers with deliveries will give a P grade.
Two or three group activities to be carried out in the problem classes with a weight of 20% of
the final grade. These two activities will give a C grade.
In order to pass the course, by means of the continuous assessment, it will be necessary to
E1>= 3.5, E2>=3.5, P>= 3, C>=3 and F=0.25E1+0.35E2+0.2P+0.2C>= 5.
If any of the above parameters are not met then the final grade will be the minimum between
F and 4.5.
b) Programming of evaluation activities:
The calendar of assessment activities will be given on the first day of the course and will be
made public through the Virtual Campus and on the School of Engineering website, in the
exams section.
c) Recovery process:
There will be a make-up exam where each of the mid be able to take the make-up exam.
Students may sit the make-up exam to improve their grade, but should be a may receive a lower grade.
(d) Procedure for the review of qualifications:
For each assessment activity, a place, date and time of review will be indicated in which
students can review the activity with the teaching staff. In this context
about the grade of the activity, which will be evaluated by the teaching staff responsible for
the subject. Students who do not attend this review will not be able to review the activity at a
later date.
e) Qualifications:
MH degree is the decision of the lecturers responsible for the
subject. UAB regulations state that MHs can only be awarded to students who have obtained a
final grade of 9.00 or higher. Up to 5% of the total number of students enrolled may be
awarded MHs.
The student will be considered to have passed the course if he/she attends at least one makeup
actvity and/or one non-make-up activity.
f) Consequences of irregularities committed by students: copying, plagiarism, ....
Without prejudice to other disciplinary measures deemed appropriate, and in accordance with
current academic regulations, irregularities committed by a student that may lead to a
variation of the grade in an evaluable activity will be graded with a zero (0). Assessment
activities graded in this way and by this procedure will not be recoverable. If it is necessary to
pass any of these assessment activities in order to pass the subject, this subject will be directly
failed, with no opportunity to recover it in the same course. These irregularities include,
among others:
- copying all or part of a practice, report, or any other assessment activity; - allowing copying;
- present a group work not done entirely by the group members (applied to all members, not
only to those who have not worked);
- unauthorised use of AI (e.g. Co-Pilot, ChatGPT or equivalent) to solve exercises, practicals
and/or any other assessable activity.
- present as their own materials produced by a third party, even if they are translations or
adaptations, and in general work with elements that are not original and exclusive to the
student.
- talk to peers during individual theoretical and practical assessment tests (examinations);
- copying or attempting to copy from other students during theoretical and practical
assessment tests (exams);
- use or attempt to use written material related to the subject during the theoretical and
practical assessment tests (examinations), when these have not been explicitly permitted.
In summary: copying, allowing copying or plagiarizing (or the attempt to) in any of the
assessment activities is equivalent to a SUSPENSION, non-compensable and without validation.
of parts of the subject in subsequent years.
f) Assessment of repeat students:
Repeating students must take the course in its entirety. No marks from previous years will be
maintained.
The proposed teaching methodology and assessment may undergo some modification
depending on the restrictions imposed by the health authorities.
This English version of the guide is a translation of the Catalan version. In the event of any
discrepancy between the two, the correct version for all purposes is the Catalan version.
Title | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
Group activities in problem classes | 20% of the final note | 6 | 0.24 | 4, 6, 1, 5, 2, 3, 7 |
Partial tests | 60% of the final grade | 4 | 0.16 | 5, 2, 3, 7 |
Two or three tests in class and/or problem delivery | 20% final grade | 15 | 0.6 | 4, 6, 5, 2, 3, 7 |
1. D. Pestana, J. Rodrguez, E. Romera, E. Touris, V. Alvarez, A. Portilla. Curso Práctico de Cálculo y Precálculo, Ed. Ariel, 2000.
2. S.L. Salas, E. Hille. Calculus Vol. 1, Ed. Reverte, 2002.
3. C. Neuhauser, Matemáticas para ciencias. 2a, edición Pearson, Prentice Hall.
4. J.M. Ortega, Introducció a l'Anàlisi Matemàtica. Manual UAB
SageMath i/o Python