RA1.1: Knowledge and understanding of the scientific and mathematical principles underlying their branch of industrial engineering. RA2.1: The ability to apply their knowledge and understanding to identify, formulate and solve engineering problems using established methods. RA4.2: The ability to design and conduct appropriate experiments, interpret the data and draw conclusions. RA4.3: Workshop and laboratory skills. RA5.1: The ability to select and use appropriate equipment, tools and methods. RA5.2: The ability to combine theory and practice to solve engineering problems. CB1: Students have demonstrated possession and understanding of knowledge in an area of study that builds on the foundation of general secondary education, and is usually at a level that, while relying on advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study. CB2: Students are able to apply their knowledge to their work or vocation in a professional manner and possess the competences usually demonstrated through the development and defence of arguments and problem solving within their field of study. CG1: Ability to resolve problems with initiative, creativity decision-making and critical reasoning skills, and to communicate and transmit knowledge, skills and abilities in the Industrial Engineering area. CG10: Capacity to design and carry out experiments and to analyze and interpret data obtained. CG12: Understanding and command of the basic concepts of the general laws of mechanics, thermodynamics, electromagnetic fields and waves and application for resolving engineering problems.

1. Kinematics of a particle and relative motion 1.1 Vectors position, velocity and acceleration. Equation of trajectory 1.2 Intrinsic components of acceleration 1.3 Circular motion 1.4 Relative motion 2. Dynamics of a particle I 2.1 Fundamental concepts: mass and force 2.2 Newton's laws 2.3 Free body diagrams 3. Dynamics of a particle II 3.1 Linear momentum 3.2 Linear momentum conservation 3.3 Momentum of a force and angular momentum 4. Conservative and non-conservative forces. Work and energy 4.1 Escalar and vectorial fields. Gradient and rotational functions 4.2 Work an power 4.3 Kinetic energy 4.4 Conservative forces and potential energy 4.5 Non conservative forces 4.6 Conservation of energy 5. Systems of particles 5.1 Internal and external forces 5.2 Center of mass and movement of the center of mass 5.3 Kinetic energy of a system of particles 5.4 Conservation theorems 6. Kinematics of the Rigid Body 6.1 Rotation and translation motion 6.2 Motion of the rigid body in the plane 6.3 Moment of inertia 6.4 Theorem of Steiner 7. Dynamics of the Rigid Body 7.1 Equations of motion of the rigid body for translation and rotation 7.2 Rotation work and power 7.3 Kinetic energy of translation and rotation 7.4 Rolling movement 8. Introduction to Thermodynamics 8.1 Thermodynamics: concepts. Ideal gas 8.2 Equilibrium States. Quasistatic processes and reversible processes 8.3 Work 8.4 Temperature definition 8.5 Thermometry. Ideal gas temperature scale 8.6 Thermal coefficients: expansion and isothermal compressibility 9. First principle 9.1 Heat: Heat capacity and specific heat 9.2 Phase Changes: phase diagrams and latent heat 9.3 Internal energy. Internal energy of an ideal gas 9.4 Experiment of Joule. The first law of thermodynamics 9.5 Application of the First Law to ideal gases: quasistatic processes 10. Second principle 10.1 Heat engines; efficiency 10.2 Statement of Kelvin-Planck 10.3 Refrigerators and heat pumps 10.4 Statement of Clausius 10.5 Cycle of Carnot 11. Entropy 11.1 Theorem of Clausius 11.2 Entropy. Reversible process 11.3 Entropy in ideal gases 11.4 Diagrams T-S 11.5 Entropy in irreversible processes 11.6 Second law of the thermodynamics

- Theoretical lectures focused on the acquisition of theoretical knowledge with the support of examples and teaching activities. - Recitation classes for solving assigned problems and discussion of specific concepts previously addressed. - Practical laboratoy sessions. Students must carry out experimental measurements and analyse the results - Office hours