In order to achieve the learning objectives, the students should have the knowledge and skills that their previous education provides to their access to the University training:
- Knowledge: geometry, basic trigonometry, basic mathematical operations (power, logarithms, fractions, etc.), polinomials, matrices, derivation, integration and graphical
representation of elementary functions.
- Basic skills in the managment of instrumentation: elementary use of computers and mathematical software.
Industrial engineers are professionals who use knowledge of physical and mathematical sciences and engineering techniques to develop his professional activity in aspects such as control, instrumentation an automation of processes and equipment, as well as design, construction, operation and maintenance of industrial products. This training allows them to participate succesfully in the different branches integrated in industrial engineering, such as mechanics, electricity, electronics, etc. It also make them adopt the changes of technologies in these areas, where appropriate, to respond to the needs that arise in the productive branches and services, so achieving the welfare of society.
Within the mathematical knowledge, the methods developed in the course of Algebra have revealed as the most adequate for the modern treatment of many disciplines including in the curriculum. Such disciplines will allow industrial engineers to face real problems that they can find at work.
Therefore, this subject is an essential part of the basic training of future engineers. Its main purpose is to provide students the algebraic and geometric resources to solve problems concerning maths and engineering. In this sense, this subject will help them to enhance the capacities of abstraction, understanding, analysis, implementation and synthesis that are common in mathematics and neccesary to any other scientific discipline or branch of engineering.
| Course competences | |
|---|---|
| Code | Description |
| CB02 | Apply their knowledge to their job or vocation in a professional manner and show that they have the competences to construct and justify arguments and solve problems within their subject area. |
| CB03 | Be able to gather and process relevant information (usually within their subject area) to give opinions, including reflections on relevant social, scientific or ethical issues. |
| CB04 | Transmit information, ideas, problems and solutions for both specialist and non-specialist audiences. |
| CB05 | Have developed the necessary learning abilities to carry on studying autonomously |
| CEB01 | Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge of linear algebra; geometry, differential geometry, differential and partial differential equations, numerical methods, numerical algorithms, statistics and optimisation. |
| CG03 | Knowledge of basic and technological subjects to facilitate learning of new methods and theories, and provide versatility to adapt to new situations. |
| CG04 | Ability to solve problems with initiative, decision-making, creativity, critical reasoning and to communicate and transmit knowledge, skills and abilities in the field of industrial engineering. |
| CT02 | Knowledge and application of information and communication technology. |
| CT03 | Ability to communicate correctly in both spoken and written form. |
| Course learning outcomes | |
|---|---|
| Description | |
| Ability to express oneself correctly orally and in writing and, in particular ability to use the language of mathematics as a way of accurately expressing the quantities and operations that appear in industrial engineering. Acquired habits of working in a team and behaving respectfully. | |
| Ability to manage and perform elementary operations with complex numbers | |
| Knowledge of the theory of matrices and determinants and ability to carry out the corresponding calculations. Knowledge of the fundamentals and applications of linear algebra and Euclidean geometry. | |
| 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: SYSTEMS OF LINEAR EQUATIONS
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Unit 4: VECTOR SPACES
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Unit 5: LINEAR MAPS
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Unit 6: DIAGONALIZATION
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Unit 7: EUCLIDEAN SPACES AND ORTHOGONAL TRANSFORMATIONS
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Unit 8: GEOMETRY. AFFINE SPACES
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Unit 9: DIFFERENCE EQUATIONS
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Class Attendance (theory) [ON-SITE] | Lectures | CB02 CB03 CB04 CB05 CEB01 CG03 CT03 | 1.2 | 30 | Y | N | ||
| Problem solving and/or case studies [ON-SITE] | Problem solving and exercises | CB02 CB03 CB04 CEB01 CG04 | 0.6 | 15 | Y | N | ||
| Computer room practice [ON-SITE] | Practical or hands-on activities | CB05 CEB01 CG03 CT02 | 0.4 | 10 | Y | N | ||
| Study and Exam Preparation [OFF-SITE] | Self-study | CB02 CB03 CB04 CB05 CEB01 CG03 CG04 CT02 CT03 | 3.6 | 90 | Y | N | ||
| Formative Assessment [ON-SITE] | Assessment tests | CB02 CB03 CB04 CEB01 CG03 CG04 CT03 | 0.2 | 5 | Y | Y | ||
| 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 |
| Final test | 70.00% | 90.00% | |
| Assessment of activities done in the computer labs | 10.00% | 10.00% | |
| Projects | 20.00% | 0.00% | |
| Total: | 100.00% | 100.00% |
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Continuous assessment:Evaluation criteria not defined
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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 |
| Computer room practice [PRESENCIAL][Practical or hands-on activities] | 10 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 90 |
| Formative Assessment [PRESENCIAL][Assessment tests] | 2.5 |
| Global activity | |
|---|---|
| Activities | hours |
