Introduction

• Measurements, units
• Significant figures and orders of magnitude
• Vectors and scalars

Kinematics

• point-like particle motion
• velocity (average and instantaneous) and speed in one dimension
• integral of velocity over time
• 1D motion with constant velocity
• average and instantaneus acceleration
• 1D motion with constant acceleration
• equations of motion with costant acceleration
• free fall
• Cartesian and polar coordinates
• kinematics in 2 or 3 dimensions
• uniform circular motion: centripetal acceleration, harmonic motion
• motion in 2 dimensions. circular motion at variable velocity. tangential acceleration

Dynamics

• Reference frames.  Galileo's transformations. Inertial reference frames
• The concept of force (examples)
• Galileo experiments
• Newton's 1st principle
• Mass and inertia
• Newton's 2nd principle
• Newton's 3rd principle
• Examples of forces (field forces, contact forces, spring, apparent forces)
• Normal force, tension, friction

 
Energy and Work

• Work (constant force, 1D)
• Scalar product of vectors
• Work (variable force)
• Work (variable force, 3D)
• Kinetic energy theorem
• Spring-mass system with and without friction
• Conservative force
• Potential energy
• Examples of conservative forces (spring, weight) and corresponding potential energies
• Mechanical energy conservation
• Work performed from the outside on a system with or without non-conservative forces
• Energy conservation
• Energy diagrams

Gravitation

• Universal gravitation: Tycho Brae, Kepler, Galileo and Newton
• The three laws of Kepler
• Newton's Law of Gravitation
• Cavendish experiment (measurement of G and earth mass)
• Gravitational field
• Spherical shell with spherical symmetry
• Acceleration of gravity on the surface of the earth
• Circular orbit and Kepler's third law
• Gravitational potential energy
• Energy diagrams: total energy for a circular orbit
• Gravity inside the earth

 
Harmonic motion and oscillations

• Harmonic motion
• Oscillations: mass-spring system
• Simple pendulum *
• Gravity inside the earth *

Fluid Mechanics

• Fluids: liquids and gases
• Density and pressure
• Fluids at rest
• Stevino's law: hydrostatic pressure, atmospheric pressure
• Pressure measurement: Torricelli barometer and differential pressure gauge
• Pascal's principle
• Hydraulic press or hydraulic lever
• Archimedes's Principle of  (buoyancy and apparent weight)
• Verification of Archimedes's principle
• Ideal fluid in motion
• Streamlines and tube of flow
• Continuity equation
• Applications of the eq. continuity: tap flow
• Bernoulli's theorem (energetic considerations)
• Applications of the Bernoulli Theorem: Torricelli's law

Thermodynamics

• Properties of matter: microscopic and macroscopic description
• Thermodynamics vs. Statistical mechanics
• Introduction to thermodynamics
• Thermodynamic system
• Thermodynamic variables
• Thermodynamic equilibrium - Thermal equilibrium
• Temperature and zeroth law of thermodynamics
• Thermometry: Celsius scale, Absolute scale
• Gas thermometer
• Ideal gases
• Boyle's law
• Avogadro's law: mole, molar mass, molecular mass
• Ideal Gas Law
• Kelvin scale
• Constant volume gas thermometer
• Kinetic Theory of Gases: pressure, temperature, internal energy and ideal gas law
• Temperature - Heat - Work - Internal energy
• Equivalence Heat - Work
• Thermal capacity and latent heat *
• Thermal expansion  *
• Thermodynamic equilibrium transformations
• First law of thermodynamics
• Work and thermal capacity of a perfect gas

Electrostatics and circuits

• Introduction: charges, induced charges, insulators and conductors
• Coulomb's law
• Electrostatic field, electrostatic field lines
• Flux of the electrostatic field
• Gauss's law
• Applications of the Gauss's law:
• Point charge
• Spherical charge distribution *
• Infinitely long charged wire *
• Planar distribution
• Electric field of conductors
• Electric potential, equipotential surfaces
• Potential due to a point charge and to a spherical distribution
• Electric field from the electric potential
• Potential of conductors
• Electric capacitance, capacitors, parallel plate capacitor
• Series and parallel capacitors *
• Current and circuits
• Resistance and Ohm's law
• Resistors in series and in parallel *
• Kirchoff's laws *
• RC circuits *

Magnetism

• Static magnetic fields: force on moving charge, field lines, Lorentz force
• Electric current carrying wire in magnetic field
• Motion of a charge in magnetic field *
• Magnetic field generation:
• Biot-Savart law
• Magnetic field generated by infinitely long current-carrying wire
• Magnetic field generated by current loop in the center and in the loop plane
• Ampere's law
• Application of the Ampere's Law to the infinite wire and to the solenoid
• Force between 2 parallel currents
• Maxwell equations for static fields in vacuum
• Electromotive force: electrostatic field and electric field
• Faraday experiment and magnetic induction
• Magnetic field flow
• Faraday's law and Lenz's law
• Maxwell equations in vacuum