Physics and Mathematics at high school level (bachillerato)

By the end of this subject, students will be able to have: 1. Knowledge and understanding of the physics principles underlying their branch of engineering; 2. The ability to apply their knowledge and understanding to identify, formulate and solve mechanics and thermodynamic problems using established methods; 3. The ability to design and conduct appropriate experiments, interpret the data and draw conclusions; 4. The ability to select and use appropriate tools and methods to solve mechanics and thermodynamics problems; 5. The ability to combine theory and practice to solve mechanics and thermodynamic problems; 6. Laboratory skills.

1. Kinematics of a particle - Position, path and displacement. Speed. Acceleration, intrinsic components of acceleration - Movement composition - Circular motion - Reference systems (1) - Integration of equations of motion without explicit dependence on time 2. Dynamics of a particle -Fundamental concepts: mass, forces, linear moment -Newton's laws -Examples of forces: weight, elastic force, friction... -Angular moment and moment of forces -Reference systems (2). Inertial forces 3. Conservative and non-conservative forces. Work and energy. -Scalar and vector fields. Gradient and curl. -Conservative fields. Potential function. -Work. Power. Kinetic energy -Conservative forces and potential energy -Non-conservative forces. 4. Systems of particles -Internal and external forces. -Statics. General condition of equilibrium. -Motion of the center of masses. -Kinetic energy of a system of particles. -Conservation theorems for a system of particles. 5. Kinematics of the Rigid Body -Rotation and translation motion. -Motion of the rigid body in the plane. -Moment of inertia. -Theorem of Steiner. 6. Dynamics of the Rigid Body -Equations of motion of the rigid body -Rotation work and power. -Kinetic energy of rotation. 7. Introduction to Thermodynamics -Thermodynamics: concept and definitions. -Equilibrium States. Quasistatic processes and reversible processes. -Work. -Gases -Definition of temperature -Thermometry. Ideal gas scale -Thermal coefficients: expansion and isotherm compressibility 8. First principle -Experiment of Joule and statement of Helmholtz. -Internal energy; energy equation of state. -Heat. Heat capacities and specific heats. Heat and work sources. -Phase Changes -Application to ideal gases. -Diagrams PV and PT 9. Second principle -Statement of Kelvin-Planck. Thermal engines. -Statement of Clausius. Refrigerating machines. Irreversibility. -Cycle of Carnot. Theorem of Carnot. Consequences -Cycles with ideal gases. 10. Entropy -Theorem of Clausius. Entropy -Diagrams T-S. Entropy in ideal gases. -Entropy in irreversible processes. Entropy balance.

- Theoretical-practical master classes oriented to the acquisition of theoretical knowledge. - Classes of problems in small groups with active participation of the students. - Presentations and personal work of the student. - Practical laboratory sessions of obligatory attendance, oriented to the acquisition of practical skills related to the program of the subject. - The tutorial regime will be adjusted to the regulations developed by the University.