The subject of Extension of Calculation and Numerical Analysis is part of the basic training module, in the second semester of the first year of the Degree in Automotive Engineering. This subject complements the Algebra and Calculus subjects of the first semester.



Given its basic and applied nature, it should serve as a support for other subjects that require simple or more complex mathematical knowledge.



To tackle this subject, it is essential to master the Mathematics syllabus of the second year of Baccalaureate in its Technology modality.



This subject contributes fundamentally to the acquisition of a rigorous habit of thinking in accordance with logical-formal reasoning and the rigor inherent in the different disciplines of Mathematics. Also, to the resolution of practical engineering problems that are modeled using mathematical techniques.

- Know and understand the basic concepts of differential equations and numerical analysis.

- Use differential equations and numerical analysis to solve problems in Automotive Engineering.

- Adequately convey knowledge, procedures and results related to the subject using the necessary terminology and mathematical language.

- Work effectively in a group, integrating skills and knowledge to make decisions in the development of the proposed tasks.

- Use mathematical software in problem solving.

(I) ORDINARY DIFFERENTIAL EQUATIONS

- First-order differential equations.

- Higher-order linear differential equations.



(II) NUMERICAL ANALYSIS

-Interpolation

- Systems of linear equations.

- Nonlinear equations.

- Self-values and eigenvectors.

- Numerical integration.

The methodology used in this subject, in order to achieve learning and the acquisition of skills by the students, will use various teaching methods, among which we highlight the expository method and the resolution of exercises and problems, including the use of mathematical software.



In the face-to-face sessions of the expository method, the teacher will develop, in a clear and accessible way, the theoretical contents of the different topics, showing their need and relationship between them. An attempt will be made to stimulate the participation of students by asking questions during the theoretical presentation.



In the face-to-face sessions of practical work in the classroom, problems will be solved by applying theoretical knowledge. Debate and student participation will be encouraged. To do this, they will have a list of problems that they will have to solve on their own for later discussion in the classroom.



The computer practices will take place in the computer classrooms, where the student will have to practice and, with the help of the computer, solve the questions posed.





There will be a virtual classroom on the UPV/EHU's eGela platform that will allow permanent contact between teaching staff and students. In it, material and information about the subject will be available.



Students will have the opportunity to attend personalised tutorials with the teacher, at a time set aside for this purpose, which can be consulted at GAUR or on the School's website. During these hours, academic issues related to the subject can be discussed.

• Continuous Assessment System
• Final Assessment System
• Tools and qualification percentages:
  • Written test to be taken (%): 30
  • Realization of Practical Work (exercises, cases or problems) (%): 70

(I) CONTINUOUS EVALUATION SYSTEM



The final grade will be distributed as follows:

Computer practices 30%, the rest of the activities throughout the course 40% and a written test in the exam period of the call 30%.



To pass the subject, students will be required to pass each of the three parts (computer practice, activities during the course and written exam in the ordinary call) and the final grade of the ordinary call will be the sum of the marks of the three parts.



If the two previous parts (computer practices and activities during the course) are passed and the written exam of the ordinary call is failed, the final mark of the ordinary call will be the sum of the mark of that ordinary exam plus the previous grade of the computer.



If the two previous parts (computer practices and activities during the course) are not approved in the continuous evaluation, it will be considered that the continuous evaluation is waived (and that the final evaluation is chosen) and it will not be necessary to expressly request the waiver.



If you pass the previous two parts (computer practices and activities during the course) and you wish to waive the continuous assessment, you must request in writing to the teacher the waiver of the continuous assessment (and opt for the final assessment) before the end of the last week of classes.



(II) FINAL EVALUATION SYSTEM



In the final assessment system, 100% of the grade will correspond to a final test that can be divided into different parts, so that the skills acquired through the different tasks carried out throughout the course can be evaluated (for example: written exam, computer test...)



In either of the two evaluation systems, those who do not take the final written exam will obtain a final grade of "Not Presented" regardless of whether or not they have completed the rest of the tasks.



The use of non-programmable calculators will be allowed in the written tests.

In the extraordinary call, 100% of the grade will correspond to a final test that can be divided into different parts so that the competencies to be acquired in the subject can be evaluated.



Those who do not take this written exam will obtain a final grade of "Not Presented".



The use of non-programmable calculators will be allowed in the written tests.

Material published in eGela.

Basic bibliography

xx

In-depth bibliography

Burden, R.L., Faires, J.D. Análisis Numérico. Grupo Editorial Iberoamericano

Chapra, S.C. y Canale,R.P.. "Métodos numéricos para ingenieros". Mc Graw-Hill Interamericana Editores, S.A.

Journals

xx

Web addresses

xx