The subject of Calculus is part of the basic training module, in the first semester of the first year of the Bachelor's Degree in Automotive Engineering. The subjects of Algebra and Calculus of the first semester are complemented by the subject of Extension of Calculus and Numerical Analysis of the second semester.



In this course, the mathematical concepts necessary in the study of the differential and integral calculus of functions of one variable and several variables are developed.



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.

. Know and understand the concepts of differential and integral calculus that allow them to advance effectively in subsequent studies and that enable them to learn new methods and theories.



. Ability to solve mathematical problems that may arise in engineering by applying knowledge of: differential and integral calculus



. Adequately communicate the knowledge, procedures, results, skills, and aspects inherent to differential and integral calculus using appropriate vocabulary, terminology, and means.



. 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.- COMPLEX NUMBERS

II.- DIFFERENTIAL CALCULUS OF FUNCTIONS OF ONE AND SEVERAL VARIABLES.

III.- INTEGRAL CALCULATION OF FUNCTIONS OF ONE AND SEVERAL VARIABLES.

The methodology used in this subject, in order to achieve learning and the acquisition of skills by the students, uses 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 solve the questions posed with the help of the computer.



There will be a virtual classroom on the eGela platform that will allow permanent contact between teachers 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 (%): 40
  • Realization of Practical Work (exercises, cases or problems) (%): 45
  • Ordenagailuko Praktikak Mathematica-rekin %15a (%): 15

(I) CONTINUOUS EVALUATION SYSTEM



The final grade will be distributed as follows:

Computer practices 15%, the rest of the activities throughout the course 45% and a written exam in the exam period of the ordinary call 40%.



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, delivery or oral defence of a work...)



In either of the two assessment modalities, students 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.



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



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

* Material provided by the teaching staff and material published in eGela
* The mathematical software that will be used in the subject

Basic bibliography

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In-depth bibliography

- PISKUNOV. "Cálculo diferencial e integral" Ed. Reverté.
- PISKUNOV. Kalkulu diferentziala eta integrala I eta II. Arg. UPV eta UEU
- MALAINA, J.L., MARTIN, A.I. "Fundamentos matemáticos con Mathematica". Servicio Editorial Universidad del País Vasco.
- MALAINA, J.L., MARTIN, A.I. "Matemáticas avanzadas con Mathematica". Servicio Editorial Universidad del País Vasco.

Web addresses

COMPUTER PRACTICES
Link to download the program with the student's LDAP:
https://www.ehu.eus/liz/m4s/


Help tutorial to get started with Mathematica:
http://www.wolfram.com/language/fast-introduction-for-math-students/es///