Engineering Mathematics I (38300); Engineering Mathematics II (38305)
Understanding the behavior of deformable bodies and material science by means of theoretical models (e.g. solid mechanics, fluid mechanics).
Apply these models to particular cases and use them to predict mechanical phenomena.
The student learning as a result of the course, understands and dominates the governing equations of practical problems in engineering, thus providing a critical point of view when adopting an approach in order to solve a particular physical problem.
Course competences | |
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Code | Description |
CE07 | Students reach understanding and mastery of the basic concepts on the general laws of mechanics, thermodynamics, fields and waves and electromagnetism and their application for the solution of engineering problems. |
Course learning outcomes | |
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Description | |
Students understand the behavior of bodies and materials through theoretical models (material point, rigid solid body, deformable solid body). They apply these models to specific cases and use them to predict mechanical phenomena. | |
Additional outcomes | |
Description | |
The student, as learning results, understands and masters the governing equations of practical problems in engineering, thus providing a critical point of view at the time of adopting approaches for the established problem. |
Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
Class Attendance (theory) [ON-SITE] | Combination of methods | CE07 | 1.3 | 32.5 | N | N | ||
Problem solving and/or case studies [ON-SITE] | Problem solving and exercises | CE07 | 0.4 | 10 | Y | N | ||
Final test [ON-SITE] | Assessment tests | CE07 | 0.3 | 7.5 | Y | Y | ||
Study and Exam Preparation [OFF-SITE] | Self-study | CE07 | 3.6 | 90 | N | N | ||
Mid-term test [ON-SITE] | Assessment tests | CE07 | 0.4 | 10 | Y | N | ||
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 |
Mid-term tests | 28.00% | 0.00% | First test (Topics: 1 and 2) - the exam can be retaken in the ordinary exam |
Mid-term tests | 28.00% | 0.00% | Second test (Topics: 3 and 4) - the exam can be retaken in the ordinary exam |
Mid-term tests | 27.00% | 0.00% | Third test (Topics: 5 and 6) - the exam can be retaken in the ordinary exam |
Assessment of problem solving and/or case studies | 17.00% | 0.00% | Problems solved in class - irrecoverable |
Final test | 0.00% | 100.00% | |
Total: | 100.00% | 100.00% |
Not related to the syllabus/contents | |
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Hours | hours |
Final test [PRESENCIAL][Assessment tests] | 5 |
Unit 1 (de 6): Tensors and Tensor Fields | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 12 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 6 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 25.5 |
Unit 2 (de 6): Stress Tensor | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 5 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2.5 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 10.6 |
Unit 3 (de 6): Continuum Kinematics | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 10 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 5 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 21.25 |
Unit 4 (de 6): Fundamental Equations of Continuum Mechanics | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 7 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 3.5 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 14.9 |
Unit 5 (de 6): Introduction to Contitutive Equations | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 2 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 1 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 4.3 |
Unit 6 (de 6): Initial Boundary Value Problem - IBVP | |
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Activities | Hours |
Class Attendance (theory) [PRESENCIAL][Combination of methods] | 4 |
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises] | 2 |
Study and Exam Preparation [AUTÓNOMA][Self-study] | 8.45 |
Global activity | |
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Activities | hours |
Author(s) | Title | Book/Journal | Citv | Publishing house | ISBN | Year | Description | Link | Catálogo biblioteca |
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Chadwick, Peter | Continuum mechanics : concise theory and problems | Dover | 0-486-40180-4 | 1999 |
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Chandrasekharaiah, D. S. | Continuum mechanics | Academic Press | 0-12-167880-6 | 0 |
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Chaves, Eduardo W. V. | Mecánica del Medio Continuo: Problemas resueltos | CIMNE | 978-84-943307-5-9 | 2014 |
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Chaves, Eduardo W. V. | Mecánica del medio continuo : (conceptos básicos) | CIMNE | 978-84-96736-38-2 | 2007 |
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Chaves, Eduardo W. V. | Mécanica del medio continuo : modelos constitutivos | CIMNE | 978-84-96736-68-9 | 2009 |
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Chaves, Eduardo W. V. | Notes on Continuum Mechanics | CIMNE/Springer | 978-94-007-5985-5 | 2013 | http://link.springer.com/book/10.1007%2F978-94-007-5986-2 | ||||
Gurtin, Morton E. | An introduction to continuum mechanics | Academic Press | 0-12-309750-9 | 1981 |
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Holzapfel, Gerhard A. | Nonlinear solid mechanics : a continuum approach for enginee | John Wiley & Sons | 0-471-82319-8 | 2000 |
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Lai, Michae W. (1930) | Introduction to continuum mechanics | Butterworth-Heinemann | 978-0-7506-8560-3 | 2010 |
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MASE, George E. | Teoría y problemas de mecánica del medio continuo | McGraw-Hill | 0-07-091668-3 | 1977 |
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Malvern, Lawrence E. | Introduction to the mechanics of a continuous medium | Prentice-Hall | 0-13-487603-2 | 1969 |
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Oliver, J. (Javier Oliver Olivella) | Mecánica de medios continuos para ingenieros | UPC | 84-8301-412-2 | 2000 |
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Spencer, A.J.M. | Continuun mechanics | Dover | 0-486-43594-6 | 1980 |
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