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 |
| B01 | Capacity to solve mathematical problems which might arise in the engineering field. Attitude to apply knowledge about: linear algebra, geometry, differential geometry, differential and integral calculus, differential equations and in partial derivatives; numerical methods, numeric algorithms, statistics and optimization. |
| C03 | To know basic numerical calculus applied to the engineering field. |
| CB01 | Prove that they have acquired and understood knowledge in a subject area that derives from general secondary education and is appropriate to a level based on advanced course books, and includes updated and cutting-edge aspects of their field of knowledge. |
| 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. |
| CB05 | Have developed the necessary learning abilities to carry on studying autonomously |
| CT00 | To promote respect and promotion of Human Rights as well as global access principles and design for everybody according to the 10th final order of the Law 51/2003 of December 2nd¿ about equal opportunities, non-discrimination and universal accessibility for people with disabilities. |
| CT02 | To be acquainted with Information and Communication Technology ICT |
| CT03 | Capacity for written and oral communication skills. |
| Course learning outcomes | |
|---|---|
| Description | |
| To know how to use and carry out basic calculations with complex numbers. | |
| Capacity to express yourself correctly both in spoken and in written form , and particuarly, to know how to use mathematical language as well as to know how to express precisely quantities and operations which are present in the Mining engineering field | |
| To know matrix theory and to know how to carry out the corresponding calculations. | |
| Additional outcomes | |
| Description | |
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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:
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Class Attendance (theory) [ON-SITE] | Lectures | B01 C03 CB01 CB02 CB03 CB05 CT00 | 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 | B01 C03 CB01 CB02 CB03 CB05 CT00 CT02 CT03 | 0.6 | 15 | Y | N | Exercise and problem solving in the classroom. | |
| Class Attendance (practical) [ON-SITE] | Practical or hands-on activities | B01 C03 CB01 CB02 CB03 CB05 CT00 CT02 CT03 | 0.4 | 10 | Y | Y | Laboratory practices in the computer classroom with the use and application of specific software | |
| Study and Exam Preparation [OFF-SITE] | Self-study | B01 C03 CB01 CB02 CB03 CB05 CT02 CT03 | 3.6 | 90 | Y | 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. | |
| Formative Assessment [ON-SITE] | Assessment tests | B01 C03 CB01 CB02 CB03 CB05 CT00 CT03 | 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. |
| Final test | 70.00% | 90.00% | |
| Progress Tests | 20.00% | 0.00% | |
| 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] | 90 |
| Formative Assessment [PRESENCIAL][Assessment tests] | 5 |
| Global activity | |
|---|---|
| Activities | hours |