In order to achieve the learning objectives of the subject it is necessary to have a good command of some contents supposed to be studied in a course similar to the second course of Spanish Bachillerato or even previously, such as, basic notions of geometry and trigonometry, elementary calculations (fractions, powers, logarithms), elementary functions and a sound knowledge of differential and integral calculus.
The ESII offers a special course (Seminario de refuerzo de Cálculo) given simultaneously with the subject to help students who may need it.
There are, of course, some online resources that may be helpful as well as some books of Bachillerato level.
A computer science engineer needs some mathematical tools to comprehend the proper technics useful for his professional life. Our subject provides some of them.
Another important point is that mathematics helps students to develop the abstraction capacity, the scientific rigour and the analysis and synthesis skills that are helpful for future engineers.
In this subject we include some mathematical background useful for other subjects, such as Fundamentos Físicos de la Informática (Physics for Computer Science), Estadística (Statistics) and Metodología de la programación (Programming methodology).
Course competences | |
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Code | Description |
BA01 | Ability to solve mathematical problems which can occur in engineering. Skills to apply knowledge about: lineal algebra; integral and differential calculus; numerical methods, numerical algorithms, statistics, and optimization. |
BA03 | Ability to understand basic concepts about discrete mathematics, logic, algorithms, computational complexity, and their applications to solve engineering problems. |
INS05 | Argumentative skills to logically justify and explain decisions and opinions. |
PER02 | Ability to work in multidisciplinary teams. |
PER05 | Acknowledgement of human diversity, equal rights, and cultural variety. |
UCLM02 | Ability to use Information and Communication Technologies. |
UCLM03 | Accurate speaking and writing skills. |
Course learning outcomes | |
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Description | |
Resolution of fundamental concepts of derivative and integral. | |
Enunciation and resolution of optimization problems. | |
Use of fundamental concepts of derivatives and integrals. | |
Understanding of the use of induction definition method (recursion) and its particular importance in computer programming. | |
Implementation and analysis of several numerical methods. | |
Utilization of programs for symbolic and numerical calculus. | |
Additional outcomes | |
Not established. |
Training Activity | Methodology | Related Competences | ECTS | Hours | As | Com | Description | |
Class Attendance (theory) [ON-SITE] | Combination of methods | BA01 BA03 INS05 PER05 | 1.4 | 35 | N | N | Between 2h and 4h per week in which several teaching methods will be used. | |
Problem solving and/or case studies [ON-SITE] | Workshops and Seminars | BA01 BA03 INS05 PER02 UCLM03 | 0.16 | 4 | Y | N | Three problem-solving activities, one per unit, with the possibility of self-assessment as part of the evaluation. | |
Computer room practice [ON-SITE] | Practical or hands-on activities | BA01 BA03 INS05 UCLM02 | 0.48 | 12 | Y | N | Laboratory practical sessions with Matlab. Students will take several tests about these sessions | |
Project or Topic Presentations [ON-SITE] | Practical or hands-on activities | BA01 BA03 INS05 UCLM02 UCLM03 | 0.08 | 2 | Y | N | A presentation about one laboratory session (groups of 3-4 students). It is compulsory to attend office hours before the presentation in order to check your work. | |
Writing of reports or projects [OFF-SITE] | Group Work | BA01 BA03 INS05 PER02 UCLM02 UCLM03 | 0.4 | 10 | Y | N | Each group of students must prepare a presentation with the tutoring help of the lecturer. | |
Final test [ON-SITE] | Assessment tests | BA01 BA03 INS05 UCLM03 | 0.2 | 5 | Y | Y | There will be three exams (one per unit). It is compulsory to reach a minimum mark of 4 out of 10 in each exam to pass the course. In the regular/extraordinay exam session you can retake the parts in case you have not reached the minimum mark previously. | |
Study and Exam Preparation [OFF-SITE] | Combination of methods | BA01 BA03 INS05 | 3.2 | 80 | N | N | Self-study. | |
Individual tutoring sessions [ON-SITE] | Other Methodologies | BA01 BA03 INS05 UCLM03 | 0.08 | 2 | Y | N | Students may ask for help during office hours (6 hours per week). It is compulsory to attend office hours to check the presentation about the laboratory session. | |
Total: | 6 | 150 | ||||||
Total credits of in-class work: 2.4 | Total class time hours: 60 | |||||||
Total credits of out of class work: 3.6 | Total hours of out of class work: 90 |
As: Assessable training activity
Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).
Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
Assessment of problem solving and/or case studies | 20.00% | 20.00% | Individual activity. |
Oral presentations assessment | 10.00% | 10.00% | Group activity. |
Assessment of activities done in the computer labs | 15.00% | 15.00% | Online tests about the practical sessions. |
Mid-term tests | 55.00% | 55.00% | Individual activity. Three partial exams, one per unit (unit 1: 20%, unit 2: 20% and unit 3: 15%). A minimum mark of 4 in each part is compulsory to pass the course. |
Total: | 100.00% | 100.00% |
Not related to the syllabus/contents | |
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Hours | hours |
Project or Topic Presentations [PRESENCIAL][Practical or hands-on activities] | 2 |
Writing of reports or projects [AUTÓNOMA][Group Work] | 10 |
Individual tutoring sessions [PRESENCIAL][Other Methodologies] | 2 |
Unit 1 (de 3): Numbers, sequences and series | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 12 |
Problem solving and/or case studies [PRESENCIAL][Workshops and Seminars] | 1 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 4 |
Final test [PRESENCIAL][Assessment tests] | 1 |
Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 25 |
Teaching period: 5 weeks |
Unit 2 (de 3): Differential calculus. | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 12 |
Problem solving and/or case studies [PRESENCIAL][Workshops and Seminars] | 2 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 6 |
Final test [PRESENCIAL][Assessment tests] | 2 |
Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 28 |
Teaching period: 5 weeks |
Unit 3 (de 3): Integral calculus. | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 11 |
Problem solving and/or case studies [PRESENCIAL][Workshops and Seminars] | 1 |
Computer room practice [PRESENCIAL][Practical or hands-on activities] | 2 |
Final test [PRESENCIAL][Assessment tests] | 2 |
Study and Exam Preparation [AUTÓNOMA][Combination of methods] | 27 |
Teaching period: 4 weeks |
Global activity | |
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Activities | hours |
General comments about the planning: | This course schedule is APPROXIMATE. It could vary throughout the academic course due to teaching needs, bank holidays, etc. A weekly schedule will be properly detailed and updated on the online platform (Virtual Campus). Note that all the lectures, practice sessions, exams and related activities performed in the bilingual groups will be entirely taught and assessed in English. Classes will be scheduled in 3 sessions of one hour and a half per week. |