For students to achieve the learning objectives described, they must possess knowledge and skills that are supposed to be guaranteed in their training prior to entering the University:
- Knowledge: basic geometry and trigonometry, basic mathematical operations (powers, logarithms, fractions), polynomials, matrices, derivation, integration and graphical representation of functions.
- Basic skills in instrumental management: elementary management of computers.
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.
Course competences | |
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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. |
Course learning outcomes | |
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Description | |
Knowledge of the fundamentals and applications of optimisation | |
Knowledge of the main approaches for solving by numerical methods, user level implementation of software packages for statistics, data processing, mathematical calculation and visualisation, planning algorithms and programming using a high-level programming language, visualising functions, geometric figures and data, designing experiments, analysing data and interpreting results. | |
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. | |
Ability to approximate functions and data by means of power series and de Fourier developments and their applications. | |
Management of functions of one and several variables including their derivation, integration and graphic representation. | |
Additional outcomes | |
Not established. |
Practices in the Computer classroom:
Practice 1: Introduction to MATLAB. Mathematical functions with MATLAB.
Practice 2: Basic programming with MATLAB.
Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
Class Attendance (theory) [ON-SITE] | Lectures | CB02 CB03 CB04 CB05 CEB01 CG03 CG04 CT02 CT03 | 1.2 | 30 | N | N | Participatory master lesson, with blackboard and projector cannon. | |
Problem solving and/or case studies [ON-SITE] | Combination of methods | CB02 CB03 CB04 CB05 CEB01 CG03 CG04 CT02 CT03 | 0.6 | 15 | Y | N | Participatory resolution of exercises and problems in the classroom. Presentation of academic work consisting of solving exercises and problems individually outside the classroom (progress tests). | |
Class Attendance (practical) [ON-SITE] | Combination of methods | CB02 CB03 CB04 CB05 CEB01 CG03 CG04 CT02 CT03 | 0.4 | 10 | Y | Y | Realisation of problems through the use of computer programmes | |
Formative Assessment [ON-SITE] | Assessment tests | CB02 CB03 CB04 CB05 CEB01 CG03 CG04 CT02 CT03 | 0.2 | 5 | Y | Y | The final assessment of the subject includes two partial written tests (not compulsory) and a final written test of the subject that has not been eliminated (compulsory). | |
Study and Exam Preparation [OFF-SITE] | Self-study | CB02 CB03 CB04 CB05 CEB01 CG03 CG04 CT02 CT03 | 3.6 | 90 | N | N | Autonomous personal study of the student and supervised work | |
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% | Evaluation of the practices in the computer classroom, with the application of specific software. |
Final test | 70.00% | 90.00% | The FINAL EXAMINATION will consist of TWO ELIMINATING written INTERIM EXAMINATIONS of subject matter (not compulsory) and a FINAL written EXAMINATION of the subject matter not eliminated (compulsory). These exams will consist of questions, theoretical issues and problems where the approach to the subject or problem, the use of appropriate terminology and notation to express the ideas and mathematical relationships used, the choice of the most appropriate procedure for each situation, the justification of the different steps of the procedure used, the results obtained and the cleanliness and presentation of the document will be assessed. |
Progress Tests | 20.00% | 0.00% | To test the progress of the students, at the end of each chapter, they must hand in an academic work consisting of a collection of solved problems in which the problem statement, the use of appropriate terminology and notation to express the ideas and mathematical relations used, the choice of the most appropriate procedure for each situation, the justification of the different steps of the procedure used, the results obtained and the cleanliness and presentation of the document will be assessed. |
Total: | 100.00% | 100.00% |
Not related to the syllabus/contents | |
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Hours | hours |
Class Attendance (theory) [PRESENCIAL][Lectures] | 30 |
Problem solving and/or case studies [PRESENCIAL][Combination of methods] | 15 |
Class Attendance (practical) [PRESENCIAL][Combination of methods] | 10 |
Formative Assessment [PRESENCIAL][Assessment tests] | 5 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 90 |
Global activity | |
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Activities | hours |
General comments about the planning: | Time planning may undergo some variations depending on the calendar and the needs of the academic course. The dates of the practices will be specified in the first three school weeks. |
Author(s) | Title | Book/Journal | Citv | Publishing house | ISBN | Year | Description | Link | Catálogo biblioteca |
---|---|---|---|---|---|---|---|---|---|
Calculus.org Resources For The Calculus Student | Algunos recursos en internet | http://www.calculus.org/ | |||||||
A. García, A. López, G. Rodríguez, S. Romero, A. de la Villa | Calculo I. Teoría y problemas de funciones en una variable | Libro | Madrid | CLAGSA | 84-921847-0-1 | 1996 | Libro de teoría y problemas | ||
B. P. Demidovich | 5000 problemas de análisis matemático | Libro | Thompson | 2002 | Libro de problemas. | ||||
B. P. Demidovich | Problemas y ejercicios de análisis matemático | Libro | 11 edición, Ed. Paraninfo | 1993 | Libro de problemas. | ||||
C. H. Edwards, D. E. Penney | Cálculo diferencial e integral | Libro | Cuarta Edición, Pearson Educación | 1997 | Libro de teoría | ||||
E. J Espinosa, I. Canals, M. Medea, R. Pérez, C. A. Ulín | Cálculo diferencial: Problemas resueltos | Libro | Reverte | 2009 | Libro de problemas. | ||||
L. S. Salas, E. Hille, G. Etgen | Calculus Volumen I: Una y varias variables | Libro | Cuarta Edición en español, Ed. Reverté | 2002 | Libro de teoría. | ||||
P. Pedregal | Cálculo esencial | Libro | ETSI Industriales, UCLM | 12002 | Libro de teoría | ||||
R. Larson, R.P. Hostetler, B. H. Edwards | Cálculo I | Libro | Mc. Graw-Hill Interamericana | 2005 | Libro de teoría. | ||||
T. Apostol | Calculus | Libro | Vol. I, Segunda edición, Reverté | 1990 | Libro de teoría. |