This course requires a solid basis on calculus, linear algebra, and general physics.

Basic competences CB6 To possess and understand knowledge that provides a basis or opportunity to be original in the development and / or application of ideas, often in a research context CB7 Students must know how to apply the knowledge acquired and their ability to solve problems in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their area of study CB8 Students must be able to integrate knowledge and face the complexity of making judgments based on information that, being incomplete or limited, includes reflections on social and ethical responsibilities linked to the application of their knowledge and judgments CB9 Students must know how to communicate their conclusions and the knowledge and ultimate reasons that sustain them to specialized and non-specialized audiences in a clear and unambiguous way CB10 Students must have the learning skills allowing them to continue studying in a way that will be largely self-directed or autonomous. General competences CG1 Ability to formulate, critically check, and defend hypotheses, as well as design experimental tests for their validation. CG2 Ability to make value judgments and prioritize in making conflicting decisions using systemic thinking. CG4 Ability to work in multidisciplinary teams in a cooperative way to complete work tasks CG5 Ability to handle the English, technical and colloquial language.

Mechanics: 1. Vectors, vector bases, reference frames, coordinates. Vector differentiation in a moving reference frame 2. Point particle kinematics and dynamics 3. Central force problems 4. Oscillations 5. Geometry of masses 6. Rigid body kinematics and dynamics 7. Torque-free motion of a rigid body 8. Constraints and reactions 9. Kinematics and dynamics of material systems Fluid mechanics and thermal engineering: 1. Continuum postulate. Control mass and volume. 2. Thermodynamic state, properties, processes 3. Conservation of Mass, Momentum and Energy 4. First Law: heat and work, stored energy, internal energy, the energy equation for a control volume, enthalpy, specific heats 5. Second law: entropy and irreversibility. 6. Thermodynamic cycles 7. 1D flow model and Nozzles 8. Heat transfer mechanisms. Conduction, convection and radiation Solid mechanics and structural engineering 1. Introduction to solid mechanics and linear structures. Types of structures (beam, plate, ...). 2. Deformation and stress in a material. Elasticity: Young modulus. 4. Loads: compression/tension, shear, torsion, bending, thermal... 5. Resistance: ultimate stresses. Safety factors in a structure 6. Introduction to structural dynamics. Vibration modes, fundamental frequency, harmonics.

Theory sessions in master classes Problem sessions in reduced groups Personal and group work