Physics and Mathematics at high school level (bachillerato)

By the end of this subject, students will be able to have: 1. Knowledge of basic physical phenomena with implications in engineering. 2. Understanding of the mathematical models that explain these phenomena. 3. Understanding and handling of the scientific method and scientific-technical language. 4. Development of reasoning techniques and strategies for analysis and problem solving. 5. Interpretation and analysis of experimental data. 6. Elementary handling of measurement devices and systems. 7. You should know the concepts of kinematics and dynamics of a particle and a system of particles, as well as the rigid solid. You will need to apply this knowledge to troubleshooting. 8. You should know the basic concepts of thermodynamics.

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.