Students will have to master the contents taught in the subject of Mathematics in the Bachelor's Degree in Science and Technology.
In particular, they must have achieved:
1. Basic knowledge of geometry, trigonometry, mathematical operations (powers, logarithms, fractions), polynomials, matrices, derivation, integration and graphical representation of functions.
2. Basic instrument handling skills: Basic computer handling (operating system).
Those students who have studied another modality should acquire, during the first weeks of the semester, a sufficient knowledge of the basic mathematical techniques. In this regard, it would be advisable to attend the so-called "Zero Courses" that the Centre will organise during the first four-month period.
The Industrial Engineer is the professional who uses the knowledge of physical and mathematical sciences and engineering techniques to develop his professional activity in aspects such as control, instrumentation and automation of processes and equipment, as well as the design, construction, operation and maintenance of industrial products. This training allows it to successfully participate in the different fields that make up industrial engineering, such as mechanics, electricity, electronics, etc., to adapt to the changes in technologies in these areas and, where appropriate, to generate them, thus responding to the needs that arise in the productive and service sectors in order to achieve the well-being of the society to which they belong.
Within the mathematical knowledge necessary to develop the above, the methods developed in the Algebra subject have proven to be the most appropriate for the modern treatment of many disciplines included in the Curriculum. Disciplines that, in the end, will allow the engineer to face the problems that will arise during the course of his career.
Therefore, it is necessary to take this course because it is an essential part of the basic training of a future engineer. Its purpose is to provide students with the basic algebraic resources necessary to follow up on other specific subjects of their degree, so that the student has sufficient algebraic ability and dexterity to solve problems related to engineering and mathematics. In addition, this subject helps to enhance the capacity for abstraction, rigour, analysis and synthesis that are characteristic of mathematics and necessary for any other scientific discipline or branch of engineering.
| Course competences | |
|---|---|
| Code | Description |
| A01 | To understand and have knowledge in an area of study that moves on from the general education attained at secondary level and usually found at a level that, while supported in advanced text books, also includes some aspects that include knowledge found at the cutting edge of the field of study. |
| A02 | To know how to apply knowledge to work or vocation in a professional manner and possess the competences that are usually demonstrated by the formulation and defence of arguments and the resolution of problems in the field of study. |
| A03 | To have the capability to gather and interpret relevant data (normally within the area of study) to make judgements that include a reflection on themes of a social, scientific or ethical nature. |
| A07 | Knowledge of Information Technology and Communication (ITC). |
| A08 | Appropriate level of oral and written communication. |
| A17 | Ability to apply principles and methods of quality control. |
| B01 | Ability to solve mathematical problems that occur in engineering. Aptitude to apply knowledge of: linear algebra; geometry; differential geometry; differential and integral calculus; differential and partial differential equations; numerical methods; numerical algorithms; statistics and optimization. |
| CG03 | Knowledge of basic materials and technologies that assist the learning of new methods and theories and enable versatility to adapt to new situations. |
| CG04 | Ability to take the initiative to solve problems, take decisions, creativity, critical reasoning and ability to communicate and transmit knowledge, skills and abilities in Mechanical Engineering. |
| Course learning outcomes | |
|---|---|
| Description | |
| To know the theory of matrices and determinants and to know how to carry out the corresponding calculations. Know the fundamentals and applications of Lineal Algebra and Euclidean Geometry | |
| Be able to express yourself correctly both orally and in writing, and, in particular, to know how to use mathematical language to express with precision quantities and operations that appear in industrial engineering. Become accustomed to working in a team and behaving respectfully. | |
| To know how to use and carry out elementary operations with complex numbers. | |
| Additional outcomes | |
| Not established. |
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Unit 1: Complex numbers
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Unit 2: Matrices and determinants
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Unit 3: Linear Equation Systems
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Unit 4: Vector Spaces
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Unit 5: Linear applications
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Unit 6: Diagonalization of endomorphisms
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Unit 7: Euclidean vector space. Geometry
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Unit 8:
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Unit 9:
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Class Attendance (theory) [ON-SITE] | Lectures | A01 A02 A03 A07 A08 A17 B01 CG03 CG04 | 1.2 | 30 | N | N | Development of theoretical content in the classroom, using the participatory master lesson method | |
| Problem solving and/or case studies [ON-SITE] | Problem solving and exercises | A01 A02 A03 A07 A08 A17 B01 CG03 CG04 | 0.6 | 15 | Y | N | Exercise and problem solving in the classroom. | |
| Class Attendance (practical) [ON-SITE] | Practical or hands-on activities | A01 A02 A03 A07 A08 A17 B01 CG03 CG04 | 0.4 | 10 | Y | N | Laboratory practices in the computer classroom with the use and application of specific software | |
| Study and Exam Preparation [OFF-SITE] | Self-study | A01 A02 A03 A07 A08 A17 B01 CG03 CG04 | 2.76 | 69 | N | N | Personal study of the subject and resolution of exercises and problems outside the classroom that will be given to the teacher and that the teacher will evaluate. | |
| Study and Exam Preparation [OFF-SITE] | Self-study | A01 A02 A03 A07 A08 A17 B01 CG03 CG04 | 0.84 | 21 | Y | N | ||
| Formative Assessment [ON-SITE] | Assessment tests | A01 A02 A03 A08 A17 B01 CG03 CG04 | 0.2 | 5 | Y | Y | Final evaluation of the course by written test | |
| 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 activities done in the computer labs | 10.00% | 10.00% | Finally, a written test will be taken, consisting of questions, theoretical questions and problems whose evaluation criteria will be similar to those of the academic papers described above. |
| Progress Tests | 20.00% | 0.00% | Academic work carried out by students in (10%) and out (10%) of class, some of which are tutored by the teacher individually or in small groups, for whose evaluation a report should be submitted in which the approach to the problem, the use of appropriate terminology and notation to express the ideas and mathematical relations used, the choice of the most appropriate procedure for each situation, the justification of the different steps of the procedure used, the results obtained and the cleanliness and presentation of the document will be assessed. Practices in the computer room (10%), with the application of specific software, where the delivery of the work done in them will be evaluated, and the student will have to defend himself orally, individually, with the teacher. |
| Final test | 70.00% | 90.00% | |
| Total: | 100.00% | 100.00% |
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Continuous assessment:In order to obtain the final mark, the two evaluation systems described above are computed, with the specified weights, and a grade of 4 out of 10 or higher must be obtained in the final written test. If the mark obtained in this test is less than 4 points, it will be given as the final mark of the course.
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Non-continuous evaluation:Evaluation criteria not defined
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 30 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 15 |
| Class Attendance (practical) [PRESENCIAL][Practical or hands-on activities] | 10 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 69 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 21 |
| Formative Assessment [PRESENCIAL][Assessment tests] | 5 |
| Global activity | |
|---|---|
| Activities | hours |