1. General information
Course:
ALGEBRA
Code:
56300
Type:
BASIC
ECTS credits:
6
Degree:
415 - UNDERGRADUATE DEGREE PROGRAMME IN ELECTRICAL ENGINEERING
Academic year:
2023-24
Center:
303 - E.DE INGENIERÍA INDUSTRIAL Y AEROESPOACIAL DE TOLEDO
Group(s):
40
Year:
1
Duration:
First semester
Main language:
Spanish
Second language:
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer:
MARIA FUENSANTA ANDRES ABELLAN
- Group(s):
40
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.48
MATEMÁTICAS
926051536
fuensanta.andres@uclm.es
Lecturer:
DAMIAN CASTAÑO TORRIJOS
- Group(s):
40
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
926051463
Damian.Castano@uclm.es
Lecturer:
JESÚS CASTELLANOS PARRA
- Group(s):
40
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.55
MATEMÁTICAS
926051598
Jesus.Castellanos@uclm.es
Lecturer:
JESUS ROSADO LINARES
- Group(s):
40
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
926051603
Jesus.Rosado@uclm.es
Lecturer:
DAVID RUIZ GRACIA
- Group(s):
40
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
926051469
David.Ruiz@uclm.es
2. Pre-Requisites
In order to achieve the learning objectives described, students must possess knowledge and skills that are supposed to be guaranteed in their training prior to accessing the University:
- Basic geometry and trigonometry, basic mathematical operations (powers, logarithms, fractions), polynomials, matrices, differentiation, integration and graphic representation of functions.
- Basic skills in handling instruments: elemental handling of computers.
3. Justification in the curriculum, relation to other subjects and to the profession
The Industrial Engineer is the professional who uses the knowledge of the physical, mathematical and statistical sciences, together with the engineering techniques, to develop his professional activity in aspects such as the control, instrumentation and automation of processes and equipment, as well as the design, construction, operation and maintenance of industrial products. This training allows you to successfully participate in the different branches that make up industrial engineering, such as mechanics, electricity, electronics, etc., adapt to changes in technology in these areas and, where appropriate, generate them, responding thus to the needs that arise in the productive and service branches to achieve the well-being of the society to which it is due.
4. Degree competences achieved in this course
| 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. |
5. Objectives or Learning Outcomes
| Course learning outcomes | |
|---|---|
| Description | |
| 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. | |
| Ability to manage and perform elementary operations with complex numbers | |
| 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. | |
| Additional outcomes | |
| Not established. |
6. Units / Contents
-
Unit 1: Complex Numbers
-
Unit 2: Matrices and determinants
-
Unit 3: Systems of linear equations
-
Unit 4: Vector spaces
-
Unit 5: Linear maps
-
Unit 6: Diagonalization
-
Unit 7: Euclidean Space
-
Unit 8: Geometry
-
Unit 9: Numerical algebra
7. Activities, Units/Modules and Methodology
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Class Attendance (theory) [ON-SITE] | Lectures | CEB01 CG03 CT03 | 1.2 | 30 | N | N | The teacher will explain those aspects of the theoretical development of each topic that he deems necessary so that the student can later work autonomously. It will also present practical examples. | |
| Problem solving and/or case studies [ON-SITE] | Problem solving and exercises | CEB01 CG04 CT03 | 0.6 | 15 | N | N | Problems classes in the classroom. The teacher, after solving some type problems, will dedicate himself to solving those problems from the collection of proposals that the students ask him. | |
| Class Attendance (practical) [ON-SITE] | Practical or hands-on activities | CEB01 CG03 CG04 CT02 CT03 | 0.4 | 10 | N | N | Problem solving workshops will be held in the computer room using the MATLAB program. | |
| Formative Assessment [ON-SITE] | Assessment tests | CB02 CB03 CB04 CB05 CEB01 CG04 CT02 CT03 | 0.2 | 5 | Y | Y | It is proposed to carry out a series of face-to-face synchronous works and a final test with theoretical questions and problem solving. The work will not be mandatory and will be done outside class hours in person. The practical part will be evaluated with a global practice in which problems from all topics will be solved with MATLAB. | |
| Study and Exam Preparation [OFF-SITE] | Self-study | CB05 CEB01 CG03 CG04 CT02 | 3.6 | 90 | N | N | The student must work autonomously in the preparation of the progress tests and the final test. You must study all the theoretical concepts and apply them to solve the proposed problems of each topic, without neglecting the use of MATLAB for it. Doubts that may arise should be resolved, either in problem classes, or by going to tutorials. | |
| 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).
8. Evaluation criteria and Grading System
| Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
| Assessment of activities done in the computer labs | 10.00% | 10.00% | Solving problems of the subject using MATLAB. The minimum grade for this part to be compensable is 4 points. |
| Final test | 70.00% | 90.00% | Final exam of theory and problems of the subject. The minimum grade for this part to be compensable is 3.5 points. |
| Projects | 20.00% | 0.00% | This activity is proposed with partial deliveries and with contents of the entire course in order to encourage the student's continued work. |
| Total: | 100.00% | 100.00% |
According to art. 4 of the UCLM Student Evaluation Regulations, it must be provided to students who cannot regularly attend face-to-face training activities the passing of the subject, having the right (art. 12.2) to be globally graded, in 2 annual calls per subject , an ordinary and an extraordinary one (evaluating 100% of the competences).
Evaluation criteria for the final exam:
-
Continuous assessment:The evaluation criteria of the ordinary call are:
- 20% for the delivery of works (ET).
- 10% for the MATLAB (ML) test.
- 70% for the final exam of theory and problems (PF).
The final grade will be calculated according to the formula:
NF = 0.7*PF + 0.2*ET + 0.1*ML,
With the following remarks:
- If ET is less than 4.5 out of 10, it goes directly to the non-continuous evaluation criterion.
- If PF is less than 3.5 out of 10, NF cannot be higher than 4.
- If ML is less than 4 out of 10, NF cannot be greater than 4.
The subject is considered approved with NF greater than or equal to 5 out of 10. -
Non-continuous evaluation:The evaluation criteria of the ordinary call are:
- 10% for the MATLAB (ML) test.
- 90% for the theory and problems exam (NC), equivalent to the final test and the delivery of continuous assessment work.
The final grade will be calculated according to the formula:
NFNC = 0.9*NC + 0.1*ML.
With the following remarks:
- If NC is less than 3.5 out of 10, NFNC cannot be higher than 4.
- If ML is less than 4 out of 10, NFNC cannot be greater than 4.
- If NFNC > NF, it goes directly to the non-continuous evaluation criterion.
The subject is considered approved with NFNC greater than or equal to 5 out of 10.
Specifications for the resit/retake exam:
An extraordinary final test will be carried out with theoretical/practical contents, and an extraordinary test to recover the contents of the MATLAB test.
The final mark of the extraordinary call will be calculated in a similar way to the ordinary call taking into account the highest mark in each evaluation test as long as it has been considered compensable.
The final mark of the extraordinary call will be calculated in a similar way to the ordinary call taking into account the highest mark in each evaluation test as long as it has been considered compensable.
Specifications for the second resit / retake exam:
A final test will be carried out with theoretical/practical contents, and a test to recover the contents of the MATLAB test, using the non-continuous evaluation criteria.
9. Assignments, course calendar and important dates
| 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 |
| Formative Assessment [PRESENCIAL][Assessment tests] | 5 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 90 |
| Global activity | |
|---|---|
| Activities | hours |
| General comments about the planning: | Not assignable to themes. The subject will be taught with 3 hours per week assigned to lectures and 1 hour per week assigned to problem solving and practices. |
10. Bibliography and Sources