Physics and Statistics
A.Y. 2026/2027
Learning objectives
- Acquisition of the physical knowledge necessary for the understanding and interpretation of physical and biological and biophysical phenomena related mainly to acoustic physics.
- Acquisition of statistical knowledge for the understanding of physical and biological phenomena.
- Acquisition of statistical knowledge for the understanding of physical and biological phenomena.
Expected learning outcomes
Acquisition of basic knowledge of Physics, indispensable for understanding concepts that will be deepen in more specific courses, of Medical Statistics, to develop useful skills both for research, management and data processing and for the critical evaluation of scientific literature for a correct and more rigorous exercise of the profession and of Electrical and electronic measurements, to understand acoustic phenomena
Lesson period: First semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Prerequisites for admission
No specific preliminary knowledge is required beyond what is already foreseen in relation to the admission to the Degree Course which includes: General culture, Biology, Chemistry, Physics and Mathematics.
Assessment methods and Criteria
Assessment criteria are based on three written tests (one written assignment for each of the three modules), to be completed on the same day. The overall grade is expressed in thirtieths, and the final grade is a composite of the three assignments; there is no oral exam. The usage of a calculator use is permitted during the tests.
The Applied Physics module test lasts 60 minutes and consists of multiple-choice questions, short open-ended questions, and exercises based on the analysis of a practical case (already discussed in class). The assessment aims to verify both the consolidation of physics content and the ability to apply it to practical problems.
The Applied Physics module test lasts 60 minutes and consists of multiple-choice questions, short open-ended questions, and exercises based on the analysis of a practical case (already discussed in class). The assessment aims to verify both the consolidation of physics content and the ability to apply it to practical problems.
Applied physics
Course syllabus
· Introduction and Systems of Measurement: The role of measurement in everyday life and science. The British Imperial System and historical criteria for divisibility. The International System of Units (SI): the 7 base units (with a focus on the meter, kilogram, second, and ampere), decimal multiples and submultiples, and the system's advantages and limitations.
· Mechanics (Kinematics and Dynamics):
◦ Quantitative definition of velocity, average velocity, and instantaneous velocity; calculations and unit conversions. Graphical representation of motion. Kinematic study of bodies: uniform rectilinear motion, uniformly accelerated motion (gravitational acceleration on Earth and the Moon), and simple harmonic motion.
◦ Newtonian dynamics and the causes of motion: the three laws of motion (inertia, proportionality between force and acceleration, action and reaction). The concept of inertial mass and the difference between mass and weight. Forces and statics of bodies.
· Work, Energy, and Power: Physical definition of work and its units (Joule, calorie, kWh). The concept of energy as the capacity to do work; forms of energy (kinetic, gravitational potential, elastic, chemical, thermal, electrical, and sound) and real-life examples of conversion and efficiency. Law of conservation of energy. Definition of power and calculation of energy consumption; notes on production and energy sources.
· Wave phenomena and acoustics:
◦ Oscillatory motions: free oscillations, damped oscillations (viscous forces and critical damping), and resonance phenomena (examples include swings, sound boxes, earthquake-resistant buildings, and satellites).
◦ Definition of wave: propagation of energy without the passage of matter. Transverse and longitudinal waves (seismic waves, sea waves). Definition of pressure in fluids (Pascal and atmosphere) and the microscopic mechanism of sound wave propagation as pressure waves (compression and rarefaction).
◦ Sinusoidal waves and their characteristics: amplitude, frequency (limits of human hearing, ultrasound, equal-pitched sound levels), and phase. Sound intensity and the inverse-square law. Sensory perception and the Weber-Fechner law; a mathematical introduction to the logarithmic scale and measurement in decibels (dB).
◦ Interaction between waves: the principle of superposition and the phenomenon of interference (constructive, destructive, and noise-canceling headphones). The relationship between the speed of sound, frequency, and wavelength. The phenomenon of beats, echoes, and reverberations.
◦ Musical instruments and frequency decomposition: timbre and standing waves (nodes and antinodes). String instruments and harmonic series; wind instruments (open and closed-open pipes). Theorem and Fourier transform for spectral analysis of sound and noise; notes on acoustic filtering. The Doppler effect: variations in frequency and wavelength as waves approach and recede.
· Mechanics (Kinematics and Dynamics):
◦ Quantitative definition of velocity, average velocity, and instantaneous velocity; calculations and unit conversions. Graphical representation of motion. Kinematic study of bodies: uniform rectilinear motion, uniformly accelerated motion (gravitational acceleration on Earth and the Moon), and simple harmonic motion.
◦ Newtonian dynamics and the causes of motion: the three laws of motion (inertia, proportionality between force and acceleration, action and reaction). The concept of inertial mass and the difference between mass and weight. Forces and statics of bodies.
· Work, Energy, and Power: Physical definition of work and its units (Joule, calorie, kWh). The concept of energy as the capacity to do work; forms of energy (kinetic, gravitational potential, elastic, chemical, thermal, electrical, and sound) and real-life examples of conversion and efficiency. Law of conservation of energy. Definition of power and calculation of energy consumption; notes on production and energy sources.
· Wave phenomena and acoustics:
◦ Oscillatory motions: free oscillations, damped oscillations (viscous forces and critical damping), and resonance phenomena (examples include swings, sound boxes, earthquake-resistant buildings, and satellites).
◦ Definition of wave: propagation of energy without the passage of matter. Transverse and longitudinal waves (seismic waves, sea waves). Definition of pressure in fluids (Pascal and atmosphere) and the microscopic mechanism of sound wave propagation as pressure waves (compression and rarefaction).
◦ Sinusoidal waves and their characteristics: amplitude, frequency (limits of human hearing, ultrasound, equal-pitched sound levels), and phase. Sound intensity and the inverse-square law. Sensory perception and the Weber-Fechner law; a mathematical introduction to the logarithmic scale and measurement in decibels (dB).
◦ Interaction between waves: the principle of superposition and the phenomenon of interference (constructive, destructive, and noise-canceling headphones). The relationship between the speed of sound, frequency, and wavelength. The phenomenon of beats, echoes, and reverberations.
◦ Musical instruments and frequency decomposition: timbre and standing waves (nodes and antinodes). String instruments and harmonic series; wind instruments (open and closed-open pipes). Theorem and Fourier transform for spectral analysis of sound and noise; notes on acoustic filtering. The Doppler effect: variations in frequency and wavelength as waves approach and recede.
Teaching methods
Lectures and exercises for adequate consolidation of the physical contents, including physical laws. Slides will be available (MyAriel).
Teaching Resources
Students will be provided with the slides used in class (available on the MyAriel platform and navigable online), which include interactive examples, graphs, and dynamic simulations to facilitate understanding of complex phenomena. Preparation can be conducted entirely using the materials provided by the professor.
Electric and electronic measurements
Course syllabus
1.Metrology (3 Hours):
direct and indirect measurements, physical quantities, units of measurement, measuring instruments, characteristics and criteria for choosing measuring instruments, sensitivity, precision and readiness; Systematic and random errors, confidence intervals; orders of magnitude and significant figures.
2. Study of uncertainties in physical measurements (3 hours):
error propagation (sum, difference, product, quotient, quadrature sum). Measurement errors and their representation: confidence interval, significant figures, consistency / discrepancy between measurements, verification of physical laws.
3. Electricity elements (6 Hours):
Coulomb's law. Electrostatic field. Gauss theorem and its applications. Electrostatic potential. Conductors and insulators. Capacity concept. Series and parallel capacitors. Dielectric effect in capacitors. Energy stored in a condenser. The movement of the charges: intensity of electric current. Ohmic conductors. Ohm's laws. The power associated with a device as a function of current and voltage. Ideal voltage generators. Internal resistance of the generator. Introduction to Kirchhoff's laws of circuits. Resolution of a circuit. Series and parallel resistors.
4. Elements of magnetostatics (3 hours):
General information on the magnetic field. Lorentz force. Magnetic field flow. Outline of the magnetic behavior of materials: diamagnetism, paramagnetism, ferromagnetism.
5. Instrumentation for electrical measurements (3):
Ammeters, Voltmeters, Basic operating principles. Digital tester and multimeter. Operating principles and applications.
6. Dedicated exercises (2 hours)
direct and indirect measurements, physical quantities, units of measurement, measuring instruments, characteristics and criteria for choosing measuring instruments, sensitivity, precision and readiness; Systematic and random errors, confidence intervals; orders of magnitude and significant figures.
2. Study of uncertainties in physical measurements (3 hours):
error propagation (sum, difference, product, quotient, quadrature sum). Measurement errors and their representation: confidence interval, significant figures, consistency / discrepancy between measurements, verification of physical laws.
3. Electricity elements (6 Hours):
Coulomb's law. Electrostatic field. Gauss theorem and its applications. Electrostatic potential. Conductors and insulators. Capacity concept. Series and parallel capacitors. Dielectric effect in capacitors. Energy stored in a condenser. The movement of the charges: intensity of electric current. Ohmic conductors. Ohm's laws. The power associated with a device as a function of current and voltage. Ideal voltage generators. Internal resistance of the generator. Introduction to Kirchhoff's laws of circuits. Resolution of a circuit. Series and parallel resistors.
4. Elements of magnetostatics (3 hours):
General information on the magnetic field. Lorentz force. Magnetic field flow. Outline of the magnetic behavior of materials: diamagnetism, paramagnetism, ferromagnetism.
5. Instrumentation for electrical measurements (3):
Ammeters, Voltmeters, Basic operating principles. Digital tester and multimeter. Operating principles and applications.
6. Dedicated exercises (2 hours)
Teaching methods
Frontal lessons through electronic presentations and blackboard exercises.
Teaching Resources
J. R. Taylor, Introduzione all'analisi degli errori.
D. C. Giancoli, Fisica. Principi e applicazioni. (alternativamente è possibile utilizzare il testo consigliato per il corso di Fisica Generale o testi a livello universitario).
Dispense del docente fornite a conclusione delle lezioni.
D. C. Giancoli, Fisica. Principi e applicazioni. (alternativamente è possibile utilizzare il testo consigliato per il corso di Fisica Generale o testi a livello universitario).
Dispense del docente fornite a conclusione delle lezioni.
Medical statistics
Course syllabus
1. The statistical language
- what the medical statistician does
- data collection
- the measurement scales of the information collected
- how to summarize and describe the data
- critical interpretation of the data
- images and numbers as a description tool
- one thing at a time or several things together: describe individual aspects or describe relationships.
2. Uncertainty
- how to deal with uncertainty
- how to make it an instrument of knowledge
- know the probabilities and quantify the risks
- measurement errors and their distribution.
- an example of certain uncertainties: population screening
3. How to build knowledge
- epidemiological studies and clinical studies: what they are, how they plan, which tools they use
- the uncertain causal relationship: measuring the risks and understanding their significance in the epidemiological field
4. Know through (and despite) the case
- know how to use the appropriate rules
- from population to sample, from sample to population
- put trust in what I see to know what I don't see (inference)
- the confidence interval or perhaps a very precise one
- what the medical statistician does
- data collection
- the measurement scales of the information collected
- how to summarize and describe the data
- critical interpretation of the data
- images and numbers as a description tool
- one thing at a time or several things together: describe individual aspects or describe relationships.
2. Uncertainty
- how to deal with uncertainty
- how to make it an instrument of knowledge
- know the probabilities and quantify the risks
- measurement errors and their distribution.
- an example of certain uncertainties: population screening
3. How to build knowledge
- epidemiological studies and clinical studies: what they are, how they plan, which tools they use
- the uncertain causal relationship: measuring the risks and understanding their significance in the epidemiological field
4. Know through (and despite) the case
- know how to use the appropriate rules
- from population to sample, from sample to population
- put trust in what I see to know what I don't see (inference)
- the confidence interval or perhaps a very precise one
Teaching methods
Lectures
Teaching Resources
M.G.Valsecchi, C. La Vecchia. Epidemiologia e metodologia clinica. Accademia Nazionale di Medicina , pg 106, Genova 1999,
G.Dunn, B.Everitt. Biostatistica Clinica, una introduzione alla evidence-based medicine. Il pensiero scientifico editore, pg 177, Roma 1999.
P.B.Lantieri, D.Risso, G.Ravera. Statistica medica per le professioni sanitarie. MCGraw-Hill, pg 251, Milano 2004
G.Dunn, B.Everitt. Biostatistica Clinica, una introduzione alla evidence-based medicine. Il pensiero scientifico editore, pg 177, Roma 1999.
P.B.Lantieri, D.Risso, G.Ravera. Statistica medica per le professioni sanitarie. MCGraw-Hill, pg 251, Milano 2004
Modules or teaching units
Applied physics
PHYS-06/A - Physics for Life Sciences, Environment, and Cultural Heritage - University credits: 2
Lessons: 20 hours
Professor:
Tomasi Maurizio
Electric and electronic measurements
IMIS-01/B - Electric and Electronic Measurements - University credits: 2
Lessons: 20 hours
Professor:
Bianchi Davide
Medical statistics
MEDS-24/A - Medical Statistics - University credits: 2
Lessons: 20 hours
Professor:
Turati Federica
Professor(s)
Reception:
Ask the teacher
Laboratorio di Strumentazione Spaziale, Department of physics (via Celoria 16, Milano)