1. Kinematics of a particle I.
- Vectors position, velocity and acceleration.
- Motion in 2 and 3 dimensions.Equation of trajectory. Projectile motion.
2. Kinematics of a particle II.
- Intrinsic components of acceleration (normal and tangential accelerations).
- Circular motion.
- Transformations among systems of reference. Relative motion.
3. Dynamics of a particle I.
- Mass. Linear momentum. Force
- Newton´s laws. Equations of motion.
- Examples of forces: weight, elastic force, tension, contact forces.
4.Dynamics of a particle II.
- Forces in linear accelerated systems and circular motion.
- Angular momentum. Moment of forces.
5. Conservative and non-conservative forces. Work and energy.
- Work. Power. Kinetic energy.
- Conservative forces and potential energy.
- Non-conservative forces.
6. Systems of particles.
- Internal and external forces.
- Kinetic energy of a system of particles.
- Conservation theorems for a system of particles.
- Motion of the Center of mass.
- Collisions.
7. Kinematics of the Rigid Body.
- Motion of the Rigid Body in the plane.
- Moment of Inertia.
- Theorem of Steiner.
8. Dynamics of the Rigid Body.
- Angular momentum of the rigid body.
- Plane motion equations.
- Work of forces acting on a rigid body. Kinetic energy.
9. Introduction to Thermodynamics. Temperature.
- Thermodynamics: concepts and definitions.
- Pressure.
- Definition of temperature. Zeroth Law.
- The Ideal-Gas Law.
10. Thermal properties of pure substances. Heat.
- Thermal coefficients: expansion and isotherm compressibility.
- Heat. Heat capacities and specific heats.
- Phase Diagrams. Phase Changes. Latent Heat.
11. First Law of Thermodynamics
- Work
- Internal Energy.
- First Law of Thermodynamics.
- Application to ideal gases.
12. Second Law of Thermodynamics.
- Statement of Kelvin-Planck. Heat engines.
- Statement of Clausius. Refrigerating machines. Irreversibility.
- Cycle of Carnot. Theorem of Carnot. Consequences.
- Cycles with ideal gases.
- Entropy.