1. General information
Course:
NUMERICAL METHODS IN ENGINEERING
Code:
56465
Type:
ELECTIVE
ECTS credits:
6
Degree:
418 - UNDERGRAD. IN INDUSTRIAL ELECTRONICS AND AUTOMAT. ENGINEERING
Academic year:
2023-24
Center:
303 - E.DE INGENIERÍA INDUSTRIAL Y AEROESPOACIAL DE TOLEDO
Group(s):
41
Year:
4
Duration:
C2
Main language:
Spanish
Second language:
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer:
DAMIAN CASTAÑO TORRIJOS
- Group(s):
41
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
926051463
Damian.Castano@uclm.es
Check in Moodle
Lecturer:
JESUS ROSADO LINARES
- Group(s):
41
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
926051603
Jesus.Rosado@uclm.es
Check in Moodle
Lecturer:
DAVID RUIZ GRACIA
- Group(s):
41
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
926051469
David.Ruiz@uclm.es
Check in Moodle
2. Pre-Requisites
To enroll in this subject and make the most of it, students must possess the knowledge and skills acquired in the early years of their degree: competencies related to solving mathematical problems and the ability to apply knowledge in linear algebra, geometry, differential and integral calculus, differential equations (ordinary and partial), and numerical algorithms. It is also recommended to have a basic understanding of general laws in mechanics, thermodynamics, fields and waves, and electromagnetism.
3. Justification in the curriculum, relation to other subjects and to the profession
The Industrial Engineer is a professional who utilizes knowledge from physical sciences, mathematics, and statistics, along with engineering techniques, to carry out their professional activities in areas such as control, instrumentation, and automation of processes and equipment, as well as the design, construction, operation, and maintenance of industrial products. Through this subject, students will achieve a better understanding of a variety of engineering problems they are likely to encounter in their professional career. Emphasis will be placed on modeling, while introducing the most studied numerical methods for analysis, and promoting the student's familiarity with various software programs commonly used in industry.
4. Degree competences achieved in this course
| Course competences | |
|---|---|
| Code | Description |
| 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. |
| 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 |
| CEO31 | Ability to mathematically model engineering problems, system simulation and its application to control 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. |
| CG09 | Organisational and planning skills in the field of companies and other institutions and organisations. |
| CG10 | Capacity to work in a multilingual and multidisciplinary environment. |
| 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 different modelling, simulation and optimisation techniques, which enable responses to a wide variety of engineering problems. | |
| Ability to assess the quality of approximations and control the propagation of errors in simulations. | |
| Knowledge of the main algorithms required for the numerical study of physical systems. | |
| Additional outcomes | |
| Not established. |
6. Units / Contents
-
Unit 1: Numerical error
-
Unit 2: Numerical methods for linear algebra
-
Unit 3: Linear and non-linear programming
-
Unit 4: Finite difference method
-
Unit 5: Finite elements
-
Unit 6: Applications to design and control in engineering problems
ADDITIONAL COMMENTS, REMARKS
Topic 6 will be taught in the laboratory sessions, parallel to topics 1 to 5.
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 | CEO31 CG03 CT03 | 1 | 25 | N | N | The professor will explain those aspects of the theoretical development of each topic that they consider necessary for the students to subsequently work independently. Additionally, practical examples will be presented. | |
| Problem solving and/or case studies [ON-SITE] | Problem solving and exercises | CEO31 CG03 CG04 CT02 CT03 | 0.6 | 15 | N | N | In-class problem-solving sessions. After solving some typical problems, the professor will dedicate themselves to solving the problems from the proposed collection that the students ask them about. | |
| Computer room practice [ON-SITE] | Practical or hands-on activities | CEO31 CG03 CG04 CG09 CG10 CT02 CT03 | 0.6 | 15 | N | N | Problem-solving workshops will be conducted in the computer lab using various computer tools. | |
| Self-study [OFF-SITE] | Self-study | CB02 CB03 CB05 CG03 CG04 CT02 | 3.6 | 90 | N | N | The student must work autonomously in preparing for the assessment tests and the final exam. They should study all the theoretical concepts and apply them to solving the proposed problems for each topic, without neglecting the use of the computer tools employed for this purpose. Any doubts that may arise should be resolved either in the problem-solving sessions or by attending tutorials. | |
| Final test [ON-SITE] | Assessment tests | CB01 CB02 CB03 CB04 CB05 CEO31 CG04 CT02 CT03 | 0.08 | 2 | Y | Y | There will be a final exam for the subject, which will be of a theoretical/practical nature. The minimum grade for this part to be eligible for compensation will be 3 points. | |
| Final test [ON-SITE] | Assessment tests | CB02 CB03 CB04 CB05 CEO31 CG04 CG09 CG10 CT02 CT03 | 0.08 | 2 | Y | Y | A laboratory test will be conducted using various computer tools, with exercises similar to those seen in the computer lab practice classes. The minimum grade for this part to be eligible for compensation will be 3 points. | |
| Final test [ON-SITE] | Individual presentation of projects and reports | CEO31 CG03 CG04 CT02 CT03 | 0.04 | 1 | Y | Y | In each practice session, an exercise will be proposed for development. At the end of the course, a report comprising all the proposed exercises must be submitted, which will be defended in an oral presentation. The minimum grade for this part to be eligible for compensation will be 3 points. | |
| 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 |
| Projects | 40.00% | 40.00% | In each practice session, an exercise will be proposed for development. At the end of the course, a report encompassing all the proposed exercises must be submitted, which will be defended in an oral presentation. The minimum grade for this part to be eligible for compensation will be 3 points. |
| Laboratory sessions | 30.00% | 30.00% | A laboratory test will be conducted using various computer tools, with exercises similar to those seen in the computer lab practice classes. The minimum grade for this part to be eligible for compensation will be 3 points. |
| Final test | 30.00% | 30.00% | There will be a final exam for the subject, which will be of a theoretical/practical nature. The minimum grade for this part to be eligible for compensation will be 3 points. |
| 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 for the regular assessment period are as follows:
- 40% for the development and defense of a practical assignment (TP).
- 30% for the written exam (PE).
- 30% for the computer-based exam (PO).
The final grade for the subject (NF) will be calculated using the following formula:
NF = 0.4TP + 0.3PE + 0.3*PO
With the following considerations:
-If TP is less than 3 out of 10, NF cannot exceed 4.
-If PE is less than 3 out of 10, NF cannot exceed 4.
-If PO is less than 3 out of 10, NF cannot exceed 4.
The subject is considered passed with NF greater than or equal to 5 out of 10. -
Non-continuous evaluation:The same criteria as the continuous assessment will be followed.
Specifications for the resit/retake exam:
The evaluation system of the regular assessment period will be maintained.
The grades obtained for the assessment milestones that have been successfully completed in the regular assessment period will be retained.
The grades obtained for the assessment milestones that have been successfully completed in the regular assessment period will be retained.
Specifications for the second resit / retake exam:
The evaluation system of the regular assessment period will be maintained, with the peculiarity that there will be no oral presentations. Instead, an additional exercise will be proposed, and its solution should be added to the practice report.
9. Assignments, course calendar and important dates
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 25 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 15 |
| Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 15 |
| Self-study [AUTÓNOMA][Self-study] | 90 |
| Final test [PRESENCIAL][Assessment tests] | 2 |
| Final test [PRESENCIAL][Assessment tests] | 2 |
| Final test [PRESENCIAL][Individual presentation of projects and reports] | 1 |
| Global activity | |
|---|---|
| Activities | hours |
10. Bibliography and Sources