Università Roma Tre

Part I
Data processing with Excel
- Tables.
- Data processing with basic functions.
- Data representation.
Methods of graphic representation
- Cartesian, polar and parametric plots.
- 2D representation of functions with several variables: contour plots, color maps.
- Representations of distributions: histograms.
- Scale changes in graphs.
- Examples of non-linear scales.
- Measurement uncertainty: basic definition and graphical representation.
- Maximum and minimum slope lines.
Notes on systems of measurement units
- International system of measurement units.
- Multiples and submultiples.
- Examples of practical units.
- Conversions.
- Scientific notation and orders of magnitude.

Part II
Kinematics of a material point
- Kinematics quantities in the rectilinear motion.
- Uniformly accelerated rectilinear motion.
- Simple harmonic motion.
- Fundamentals on vector algebra.
- Kinematics in 2-D and 3-D.
- Motion trajectory.
- Tangential and normal components of acceleration.
- Parabolic motion. Circular motion. Relative motion.
Dynamics of a material point
- Principles of kinetics and Newton's laws.
- Momentum and Impulse.
- Equilibrium and constraint reaction forces.
- Gravitational force.
- Weight and motion under gravity.
- Forces and Motion.
- Forces of dry friction.
- Inclined plane.
- Elastic force and mass-spring system.
- Tension force in ropes.
- Applications to circular motions.
- Viscous force.
- Simple pendulum.
- Inertial and non-inertial reference frame.
Work and Energy
- Work and power.
- Work of weight, elastic and dry friction forces.
- Work-energy theorem. Applications.
- Conservative forces. Potential energy.
- Conservation of mechanical energy. Applications.
- Stability conditions for static equilibrium.
Dynamics of systems of material points
- systems of material points. Internal and external forces.
- First cardinal equation for systems dynamics.
- Center of mass and its motion.
- Conservation of momentum.
- Collisions (brief notes).
- Moment of force and angular momentum.
- Second cardinal equation for systems dynamics.
- Conservation of angular momentum.
- Koenig theorems.
Rigid body dynamics
- Rigid body and its properties.
- Continuous bodies. Density and center of mass.
- Rigid body kinematics. Angular velocity.
- Rigid body kinetics. Rotations around a fixed axis.
- Moment of inertia. Huygens-Steiner theorem.
- Equilibrium of a rigid body. Levers.

Part III
Electrostatic force and field in vacuum
- Electric charge and matter electronic structure.
- Coulomb's law and Newton's law of universal gravitation.
- Superposition principle.
- Concept of field; scalar and vector fields; flux lines.
- Electrostatic field.
- Motion of a charged particle in a electrostatic field.
- Electrostatic field flux and Gauss's law.
- Gauss's law applications to charged distributions having planar, cylindrical and spherical symmetry.
Electric work and electrostatic potential
- Electrostatic field circulation integral; conservative property of the electrostatic field.
- Electric potential computation.
- Electric potential energy.
- Relationship between electrostatic field and potential: gradient and equipotential surfaces.
Conductors and dielectrics
- Electric properties of conductors.
- Electrostatic induction; Faraday cage.
- Capacitance; capacitor.
- Capacitors in series and parallel; capacitor energy.
- Dielectrics, electric polarization and dielectric permittivity.
- D field and corresponding Gauss's law.
Electric current
- Electric current. Current density field J.
- Stationary conditions. Solenoidal property of the field J.
- Ohm's law and Joule effect.
- Resistors in series and parallel.
- Electromotive field and electromotive force.
- Charging and discharging of a capacitor.
- Kirchhoff's circuit laws.
Magnetic field
- Magnetic interactions.
- Magnetic induction field B; Lorentz force.
- Biot-Savart law.
- Magnetic force on a current carrying conductor.
- Torque on a current carrying rectangular coil in a magnetic field.
- Charged particle motion in a magnetic field.
- Mass spectrometer and velocity selector.
- Solenoidal property of the field B; Gauss's law for the magnetic field.
Magnetic field sources
- Magnetic field of a current.
- Ampère-Laplace law applications: straight wire, circular coil.
- Forces between current carrying wires.
- Ampère's circuital law (in integral form) and applications.
- Magnetic properties of matter: diamagnetic, paramagnetic and ferromagnetic materials.
- H field and its circulation integral.
Electromagnetic induction
- Faraday's law. Lenz's law.
- Induced and motional Electromotive force.
- Inductance. Charging and discharging of an inductor.
- Magnetic energy.
- Mutual inductance.
- Ampere-Maxwell's law. Displacement current.
- Maxwell equations in integral form.

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. II: Elettromagnetismo e onde", terza edizione, Edises, Napoli
- Notes on selected topics will be provided by the teacher.

Part I
Data processing with Excel
- Tables.
- Data processing with basic functions.
- Data representation.
Methods of graphic representation
- Cartesian, polar and parametric plots.
- 2D representation of functions with several variables: contour plots, color maps.
- Representations of distributions: histograms.
- Scale changes in graphs.
- Examples of non-linear scales.
- Measurement uncertainty: basic definition and graphical representation.
- Maximum and minimum slope lines.
Notes on systems of measurement units
- International system of measurement units.
- Multiples and submultiples.
- Examples of practical units.
- Conversions.
- Scientific notation and orders of magnitude.

Part II
Kinematics of a material point
- Kinematics quantities in the rectilinear motion.
- Uniformly accelerated rectilinear motion.
- Simple harmonic motion.
- Fundamentals on vector algebra.
- Kinematics in 2-D and 3-D.
- Motion trajectory.
- Tangential and normal components of acceleration.
- Parabolic motion. Circular motion. Relative motion.
Dynamics of a material point
- Principles of kinetics and Newton's laws.
- Momentum and Impulse.
- Equilibrium and constraint reaction forces.
- Gravitational force.
- Weight and motion under gravity.
- Forces and Motion.
- Forces of dry friction.
- Inclined plane.
- Elastic force and mass-spring system.
- Tension force in ropes.
- Applications to circular motions.
- Viscous force.
- Simple pendulum.
- Inertial and non-inertial reference frame.
Work and Energy
- Work and power.
- Work of weight, elastic and dry friction forces.
- Work-energy theorem. Applications.
- Conservative forces. Potential energy.
- Conservation of mechanical energy. Applications.
- Stability conditions for static equilibrium.
Dynamics of systems of material points
- systems of material points. Internal and external forces.
- First cardinal equation for systems dynamics.
- Center of mass and its motion.
- Conservation of momentum.
- Collisions (brief notes).
- Moment of force and angular momentum.
- Second cardinal equation for systems dynamics.
- Conservation of angular momentum.
- Koenig theorems.
Rigid body dynamics
- Rigid body and its properties.
- Continuous bodies. Density and center of mass.
- Rigid body kinematics. Angular velocity.
- Rigid body kinetics. Rotations around a fixed axis.
- Moment of inertia. Huygens-Steiner theorem.
- Equilibrium of a rigid body. Levers.

Part III
Electrostatic force and field in vacuum
- Electric charge and matter electronic structure.
- Coulomb's law and Newton's law of universal gravitation.
- Superposition principle.
- Concept of field; scalar and vector fields; flux lines.
- Electrostatic field.
- Motion of a charged particle in a electrostatic field.
- Electrostatic field flux and Gauss's law.
- Gauss's law applications to charged distributions having planar, cylindrical and spherical symmetry.
Electric work and electrostatic potential
- Electrostatic field circulation integral; conservative property of the electrostatic field.
- Electric potential computation.
- Electric potential energy.
- Relationship between electrostatic field and potential: gradient and equipotential surfaces.
Conductors and dielectrics
- Electric properties of conductors.
- Electrostatic induction; Faraday cage.
- Capacitance; capacitor.
- Capacitors in series and parallel; capacitor energy.
- Dielectrics, electric polarization and dielectric permittivity.
- D field and corresponding Gauss's law.
Electric current
- Electric current. Current density field J.
- Stationary conditions. Solenoidal property of the field J.
- Ohm's law and Joule effect.
- Resistors in series and parallel.
- Electromotive field and electromotive force.
- Charging and discharging of a capacitor.
- Kirchhoff's circuit laws.
Magnetic field
- Magnetic interactions.
- Magnetic induction field B; Lorentz force.
- Biot-Savart law.
- Magnetic force on a current carrying conductor.
- Torque on a current carrying rectangular coil in a magnetic field.
- Charged particle motion in a magnetic field.
- Mass spectrometer and velocity selector.
- Solenoidal property of the field B; Gauss's law for the magnetic field.
Magnetic field sources
- Magnetic field of a current.
- Ampère-Laplace law applications: straight wire, circular coil.
- Forces between current carrying wires.
- Ampère's circuital law (in integral form) and applications.
- Magnetic properties of matter: diamagnetic, paramagnetic and ferromagnetic materials.
- H field and its circulation integral.
Electromagnetic induction
- Faraday's law. Lenz's law.
- Induced and motional Electromotive force.
- Inductance. Charging and discharging of an inductor.
- Magnetic energy.
- Mutual inductance.
- Ampere-Maxwell's law. Displacement current.
- Maxwell equations in integral form.

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. II: Elettromagnetismo e onde", terza edizione, Edises, Napoli
- Notes on selected topics will be provided by the teacher.

Part I

Data processing with Excel
- Tables.
- Data processing with basic functions.
- Data representation.

Methods of graphic representation
- Cartesian, polar and parametric plots.
- 2D representation of functions with several variables: contour plots, color maps.
- Representations of distributions: histograms.
- Scale changes in graphs.
- Examples of non-linear scales.
- Measurement uncertainty: basic definition and graphical representation.
- Maximum and minimum slope lines.

Notes on systems of measurement units
- International system of measurement units.
- Multiples and submultiples.
- Examples of practical units.
- Conversions.
- Scientific notation and orders of magnitude.


Part II

Kinematics of a material point
- Kinematics quantities in the rectilinear motion.
- Uniformly accelerated rectilinear motion.
- Simple harmonic motion.
- Fundamentals on vector algebra.
- Kinematics in 2-D and 3-D.
- Motion trajectory.
- Tangential and normal components of acceleration.
- Parabolic motion. Circular motion. Relative motion.

Dynamics of a material point
- Principles of kinetics and Newton's laws.
- Momentum and Impulse.
- Equilibrium and constraint reaction forces.
- Gravitational force.
- Weight and motion under gravity.
- Forces and Motion.
- Forces of dry friction.
- Inclined plane.
- Elastic force and mass-spring system.
- Tension force in ropes.
- Applications to circular motions.
- Viscous force.
- Simple pendulum.
- Inertial and non-inertial reference frame.

Work and Energy
- Work and power.
- Work of weight, elastic and dry friction forces.
- Work-energy theorem. Applications.
- Conservative forces. Potential energy.
- Conservation of mechanical energy. Applications.
- Stability conditions for static equilibrium.

Dynamics of systems of material points
- Systems of material points. Internal and external forces.
- First cardinal equation for systems dynamics.
- Center of mass and its motion.
- Conservation of momentum.
- Collisions (brief notes).
- Moment of force and angular momentum.
- Second cardinal equation for systems dynamics.
- Conservation of angular momentum.
- Koenig theorems.

Rigid body dynamics
- Rigid body and its properties.
- Continuous bodies. Density and center of mass.
- Rigid body kinematics. Angular velocity.
- Rigid body kinetics. Rotations around a fixed axis.
- Moment of inertia. Huygens-Steiner theorem.
- Equilibrium of a rigid body. Levers.


Part III

Electrostatic force and field in vacuum
- Electric charge and matter electronic structure.
- Coulomb's law and Newton's law of universal gravitation.
- Superposition principle.
- Concept of field; scalar and vector fields; flux lines.
- Electrostatic field.
- Motion of a charged particle in a electrostatic field.
- Electrostatic field flux and Gauss's law.
- Gauss's law applications to charged distributions having planar, cylindrical and spherical symmetry.

Electric work and electrostatic potential
- Electrostatic field circulation integral; conservative property of the electrostatic field.
- Electric potential computation.
- Electric potential energy.
- Relationship between electrostatic field and potential: gradient and equipotential surfaces.

Conductors and dielectrics
- Electric properties of conductors.
- Electrostatic induction; Faraday cage.
- Capacitance; capacitor.
- Capacitors in series and parallel; capacitor energy.
- Dielectrics, electric polarization and dielectric permittivity.
- D field and corresponding Gauss's law.

Electric current
- Electric current. Current density field J.
- Stationary conditions. Solenoidal property of the field J.
- Ohm's law and Joule effect.
- Resistors in series and parallel.
- Electromotive field and electromotive force.
- Charging and discharging of a capacitor.
- Kirchhoff's circuit laws.

Magnetic field
- Magnetic interactions.
- Magnetic induction field B; Lorentz force.
- Biot-Savart law.
- Magnetic force on a current carrying conductor.
- Torque on a current carrying rectangular coil in a magnetic field.
- Charged particle motion in a magnetic field.
- Mass spectrometer and velocity selector.
- Solenoidal property of the field B; Gauss's law for the magnetic field.

Magnetic field sources
- Magnetic field of a current.
- Ampère-Laplace law applications: straight wire, circular coil.
- Forces between current carrying wires.
- Ampère's circuital law (in integral form) and applications.
- Magnetic properties of matter: diamagnetic, paramagnetic and ferromagnetic materials.
- H field and its circulation integral.

Electromagnetic induction
- Faraday's law. Lenz's law.
- Induced and motional Electromotive force.
- Inductance. Charging and discharging of an inductor.
- Magnetic energy.
- Mutual inductance.
- Ampere-Maxwell's law. Displacement current.
- Maxwell equations in integral form.

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica e Termodinamica", seconda edizione, Edises, Napoli
- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. II: Elettromagnetismo e Onde", terza edizione, Edises, Napoli
- Notes on selected topics will be provided by the teacher.

Part I

Data processing with Excel
- Tables.
- Data processing with basic functions.
- Data representation.

Methods of graphic representation
- Cartesian, polar and parametric plots.
- 2D representation of functions with several variables: contour plots, color maps.
- Representations of distributions: histograms.
- Scale changes in graphs.
- Examples of non-linear scales.
- Measurement uncertainty: basic definition and graphical representation.
- Maximum and minimum slope lines.

Notes on systems of measurement units
- International system of measurement units.
- Multiples and submultiples.
- Examples of practical units.
- Conversions.
- Scientific notation and orders of magnitude.


Part II

Kinematics of a material point
- Kinematics quantities in the rectilinear motion.
- Uniformly accelerated rectilinear motion.
- Simple harmonic motion.
- Fundamentals on vector algebra.
- Kinematics in 2-D and 3-D.
- Motion trajectory.
- Tangential and normal components of acceleration.
- Parabolic motion. Circular motion. Relative motion.

Dynamics of a material point
- Principles of kinetics and Newton's laws.
- Momentum and Impulse.
- Equilibrium and constraint reaction forces.
- Gravitational force.
- Weight and motion under gravity.
- Forces and Motion.
- Forces of dry friction.
- Inclined plane.
- Elastic force and mass-spring system.
- Tension force in ropes.
- Applications to circular motions.
- Viscous force.
- Simple pendulum.
- Inertial and non-inertial reference frame.

Work and Energy
- Work and power.
- Work of weight, elastic and dry friction forces.
- Work-energy theorem. Applications.
- Conservative forces. Potential energy.
- Conservation of mechanical energy. Applications.
- Stability conditions for static equilibrium.

Dynamics of systems of material points
- Systems of material points. Internal and external forces.
- First cardinal equation for systems dynamics.
- Center of mass and its motion.
- Conservation of momentum.
- Collisions (brief notes).
- Moment of force and angular momentum.
- Second cardinal equation for systems dynamics.
- Conservation of angular momentum.
- Koenig theorems.

Rigid body dynamics
- Rigid body and its properties.
- Continuous bodies. Density and center of mass.
- Rigid body kinematics. Angular velocity.
- Rigid body kinetics. Rotations around a fixed axis.
- Moment of inertia. Huygens-Steiner theorem.
- Equilibrium of a rigid body. Levers.


Part III

Electrostatic force and field in vacuum
- Electric charge and matter electronic structure.
- Coulomb's law and Newton's law of universal gravitation.
- Superposition principle.
- Concept of field; scalar and vector fields; flux lines.
- Electrostatic field.
- Motion of a charged particle in a electrostatic field.
- Electrostatic field flux and Gauss's law.
- Gauss's law applications to charged distributions having planar, cylindrical and spherical symmetry.

Electric work and electrostatic potential
- Electrostatic field circulation integral; conservative property of the electrostatic field.
- Electric potential computation.
- Electric potential energy.
- Relationship between electrostatic field and potential: gradient and equipotential surfaces.

Conductors and dielectrics
- Electric properties of conductors.
- Electrostatic induction; Faraday cage.
- Capacitance; capacitor.
- Capacitors in series and parallel; capacitor energy.
- Dielectrics, electric polarization and dielectric permittivity.
- D field and corresponding Gauss's law.

Electric current
- Electric current. Current density field J.
- Stationary conditions. Solenoidal property of the field J.
- Ohm's law and Joule effect.
- Resistors in series and parallel.
- Electromotive field and electromotive force.
- Charging and discharging of a capacitor.
- Kirchhoff's circuit laws.

Magnetic field
- Magnetic interactions.
- Magnetic induction field B; Lorentz force.
- Biot-Savart law.
- Magnetic force on a current carrying conductor.
- Torque on a current carrying rectangular coil in a magnetic field.
- Charged particle motion in a magnetic field.
- Mass spectrometer and velocity selector.
- Solenoidal property of the field B; Gauss's law for the magnetic field.

Magnetic field sources
- Magnetic field of a current.
- Ampère-Laplace law applications: straight wire, circular coil.
- Forces between current carrying wires.
- Ampère's circuital law (in integral form) and applications.
- Magnetic properties of matter: diamagnetic, paramagnetic and ferromagnetic materials.
- H field and its circulation integral.

Electromagnetic induction
- Faraday's law. Lenz's law.
- Induced and motional Electromotive force.
- Inductance. Charging and discharging of an inductor.
- Magnetic energy.
- Mutual inductance.
- Ampere-Maxwell's law. Displacement current.
- Maxwell equations in integral form.

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica e Termodinamica", seconda edizione, Edises, Napoli
- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. II: Elettromagnetismo e Onde", terza edizione, Edises, Napoli
- Notes on selected topics will be provided by the teacher.