Mathematics and Physics with Elements of Computer Science
A.Y. 2024/2025
Learning objectives
The course aims to provide the basic knowledge of classical physics (mechanics, fluid mechanics, and electromagnetism). The topics are treated both in the theoretical aspects and in the application ones with some examples inherent to the present curriculum studii. The course, in addition to presenting the notions of physics propaedeutics to other courses (see Physiology or Chemistry-Physics), aims, as a fundamental course of the first year, to increase the ability to solve problems / exercises with a rigorous and quantitative approach. The Mathematics module will cover the most common statistical topics, as they represent the basis of dealing with experimental data; the course will also delineate quickly the basics of R, a commonly used statistical software.
Expected learning outcomes
At the end of the course, the student will learn the fundamental elements of the experimental method, the basic physical laws and will have the opportunity to see different applications of the same in fields related to the course of study. Furthermore, the student will have the opportunity to deepen the ability to deal with both abstract concepts and application examples with an increased.
Lesson period: Activity scheduled over several sessions (see Course syllabus and organization section for more detailed information).
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course can be attended as a single course.
Course syllabus and organization
Linea AK
Responsible
Lesson period
year
Course syllabus
Mathematics and informatics:
Calculus:
Functions
Limits and continuity
Infinite and infinitesimal
Differentiation - applications of differentiation
Indefinite and definite integration
Statistics and probability:
Basics of probability
Random variables
Elements of descriptive statistics
Inferential statistics
Linear regression elements
Elements of computer science:
Notions relating to the IT discipline with particular reference to the practices relating to the main functions of the software tools belonging to the spreadsheet family (also called electronic sheets), with particular reference to the use of formulas, general and statistical functions.
Physics:
Vectorial calculus
- scalars and vectors, scalar product, vector product
Kinematics
- motion in one dimension: position and displacement vectors, velocity, acceleration, uniformly accelerated motion
- motion in two dimensions: trajectory, uniformly accelerated motion, uniform circular motion
Dynamics
- concept of force, Newton's laws, equations of motion
- Newton's law of universal gravitation
- dynamics of uniform circular motion
- work, energy, kinetic energy, work-energy theorem, power
- conservative forces, potential energy, conservation of mechanical energy
- forces of friction
Oscillating motion
- harmonic motion, small oscillations: simple pendulum
Fluids
- pressure in static fluid, Stevin's law, Pascal's principle, Archimedes' principle
- Bernoulli's theorem
- viscosity, Poiseille's law, Stokes's law, sedimentation processes
- surface tension, capillarity phenomena
Electromagnetism
- Coulomb's law; electric field
- Gauss's law and examples of application
- conductors, dielectrics
- capacitors
- electric current, resistance, Ohm's law, Kirchhoff's laws
- electrical circuits
- magnetic field, Lorentz's law, Biot-Savart's law, Ampere's law, Faraday's law
Calculus:
Functions
Limits and continuity
Infinite and infinitesimal
Differentiation - applications of differentiation
Indefinite and definite integration
Statistics and probability:
Basics of probability
Random variables
Elements of descriptive statistics
Inferential statistics
Linear regression elements
Elements of computer science:
Notions relating to the IT discipline with particular reference to the practices relating to the main functions of the software tools belonging to the spreadsheet family (also called electronic sheets), with particular reference to the use of formulas, general and statistical functions.
Physics:
Vectorial calculus
- scalars and vectors, scalar product, vector product
Kinematics
- motion in one dimension: position and displacement vectors, velocity, acceleration, uniformly accelerated motion
- motion in two dimensions: trajectory, uniformly accelerated motion, uniform circular motion
Dynamics
- concept of force, Newton's laws, equations of motion
- Newton's law of universal gravitation
- dynamics of uniform circular motion
- work, energy, kinetic energy, work-energy theorem, power
- conservative forces, potential energy, conservation of mechanical energy
- forces of friction
Oscillating motion
- harmonic motion, small oscillations: simple pendulum
Fluids
- pressure in static fluid, Stevin's law, Pascal's principle, Archimedes' principle
- Bernoulli's theorem
- viscosity, Poiseille's law, Stokes's law, sedimentation processes
- surface tension, capillarity phenomena
Electromagnetism
- Coulomb's law; electric field
- Gauss's law and examples of application
- conductors, dielectrics
- capacitors
- electric current, resistance, Ohm's law, Kirchhoff's laws
- electrical circuits
- magnetic field, Lorentz's law, Biot-Savart's law, Ampere's law, Faraday's law
Teaching methods
Mathematics and informatics:
Front lessons and exercise sessions
Physics:
Front lessons and exercise sessions
Front lessons and exercise sessions
Physics:
Front lessons and exercise sessions
Teaching Resources
Mathematics and informatics:
M. Bramanti, C.D. Pagani, S. Salsa "Matematica - Calcolo infinitesimale e algebra lineare" Zanichelli
J. Taylor Introduzione all'analisi degli errori" Zanichelli
Physics:
Recommended texts:
- A. Giambattista, B. McCarthy Richardson, R.C. Richardson, "FISICA GENERALE - Principi e applicazioni", terza edizione, McGraw-Hill.
- D.C. Giancoli, "FISICA - Principi e applicazioni" terza edizione, Casa Editrice Ambrosiana.
M. Bramanti, C.D. Pagani, S. Salsa "Matematica - Calcolo infinitesimale e algebra lineare" Zanichelli
J. Taylor Introduzione all'analisi degli errori" Zanichelli
Physics:
Recommended texts:
- A. Giambattista, B. McCarthy Richardson, R.C. Richardson, "FISICA GENERALE - Principi e applicazioni", terza edizione, McGraw-Hill.
- D.C. Giancoli, "FISICA - Principi e applicazioni" terza edizione, Casa Editrice Ambrosiana.
Assessment methods and Criteria
Mathematics and informatics:
The exam consists of a written test and a possible oral test.
The written test, lasting 90 minutes, consists of four open-ended exercises relating to the mathematics, probability and statistics topics covered during the course.
During the written test, the use of a non-programmable scientific calculator is permitted.
The written test is considered passed if the score obtained is at least 18 out of 30.
If the score reported is at least 25 points out of 30, the student may also choose to take an oral test which may modify to some extent (increase or decrease) the score acquired. The oral test can only be taken in the same session as the written test.
Physics:
Exam: written test.
Students who have passed the written exam can, at their discretion, take an oral exam or simply confirm the written mark.
The exam consists of a written test and a possible oral test.
The written test, lasting 90 minutes, consists of four open-ended exercises relating to the mathematics, probability and statistics topics covered during the course.
During the written test, the use of a non-programmable scientific calculator is permitted.
The written test is considered passed if the score obtained is at least 18 out of 30.
If the score reported is at least 25 points out of 30, the student may also choose to take an oral test which may modify to some extent (increase or decrease) the score acquired. The oral test can only be taken in the same session as the written test.
Physics:
Exam: written test.
Students who have passed the written exam can, at their discretion, take an oral exam or simply confirm the written mark.
FIS/07 - APPLIED PHYSICS - University credits: 6
INF/01 - INFORMATICS - University credits: 1
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 3
INF/01 - INFORMATICS - University credits: 1
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 3
Practicals: 48 hours
Lessons: 56 hours
Lessons: 56 hours
Professor:
Arosio Paolo
Linea LZ
Responsible
Lesson period
year
Course syllabus
Mathematics and Informatics:
Calculus:
Functions
Limits and continuity
Infinite and infinitesimal
Differentiation - applications of differentiation
Indefinite and definite integration
Statistics and probability:
Basics of probability
Random variables
Elements of descriptive statistics
Inferential statistics
Linear regression elements
Elements of computer science:
Notions relating to the IT discipline with particular reference to the practices relating to the main functions of the software tools belonging to the spreadsheet family (also called electronic sheets), with particular reference to the use of formulas, general and statistical functions.
Physics:
Vectorial calculus
- scalars and vectors, scalar product, vector product
Kinematics
- motion in one dimension: position and displacement vectors, velocity, acceleration, uniformly accelerated motion
- motion in two dimensions: trajectory, uniformly accelerated motion, uniform circular motion
Dynamics
- concept of force, Newton's laws, equations of motion
- Newton's law of universal gravitation
- dynamics of uniform circular motion
- work, energy, kinetic energy, work-energy theorem, power
- conservative forces, potential energy, conservation of mechanical energy
- forces of friction
Oscillating motion
- harmonic motion, small oscillations: simple pendulum
Fluids
- pressure in static fluid, Stevin's law, Pascal's principle, Archimedes' principle
- Bernoulli's theorem
- viscosity, Poiseille's law, Stokes's law, sedimentation processes
- surface tension, capillarity phenomena
Electromagnetism
- Coulomb's law; electric field
- Gauss's law and examples of application
- conductors, dielectrics
- capacitors
- electric current, resistance, Ohm's law, Kirchhoff's laws
- electrical circuits
- magnetic field, Lorentz's law, Biot-Savart's law, Ampere's law, Faraday's law
Calculus:
Functions
Limits and continuity
Infinite and infinitesimal
Differentiation - applications of differentiation
Indefinite and definite integration
Statistics and probability:
Basics of probability
Random variables
Elements of descriptive statistics
Inferential statistics
Linear regression elements
Elements of computer science:
Notions relating to the IT discipline with particular reference to the practices relating to the main functions of the software tools belonging to the spreadsheet family (also called electronic sheets), with particular reference to the use of formulas, general and statistical functions.
Physics:
Vectorial calculus
- scalars and vectors, scalar product, vector product
Kinematics
- motion in one dimension: position and displacement vectors, velocity, acceleration, uniformly accelerated motion
- motion in two dimensions: trajectory, uniformly accelerated motion, uniform circular motion
Dynamics
- concept of force, Newton's laws, equations of motion
- Newton's law of universal gravitation
- dynamics of uniform circular motion
- work, energy, kinetic energy, work-energy theorem, power
- conservative forces, potential energy, conservation of mechanical energy
- forces of friction
Oscillating motion
- harmonic motion, small oscillations: simple pendulum
Fluids
- pressure in static fluid, Stevin's law, Pascal's principle, Archimedes' principle
- Bernoulli's theorem
- viscosity, Poiseille's law, Stokes's law, sedimentation processes
- surface tension, capillarity phenomena
Electromagnetism
- Coulomb's law; electric field
- Gauss's law and examples of application
- conductors, dielectrics
- capacitors
- electric current, resistance, Ohm's law, Kirchhoff's laws
- electrical circuits
- magnetic field, Lorentz's law, Biot-Savart's law, Ampere's law, Faraday's law
Teaching methods
Mathematics and Informatics:
Front lessons and exercise sessions
Physics:
Front lessons and exercise sessions
Front lessons and exercise sessions
Physics:
Front lessons and exercise sessions
Teaching Resources
Mathematics and Informatics:
Recommended texts:
M. Bramanti, C.D. Pagani, S. Salsa "Matematica - Calcolo infinitesimale e algebra lineare" Zanichelli
J. Taylor Introduzione all'analisi degli errori" Zanichelli
Physics:
Recommended texts:
- A. Giambattista, B. McCarthy Richardson, R.C. Richardson, "FISICA GENERALE - Principi e applicazioni", terza edizione, McGraw-Hill.
- D.C. Giancoli, "FISICA - Principi e applicazioni" terza edizione, Casa Editrice Ambrosiana.
Recommended texts:
M. Bramanti, C.D. Pagani, S. Salsa "Matematica - Calcolo infinitesimale e algebra lineare" Zanichelli
J. Taylor Introduzione all'analisi degli errori" Zanichelli
Physics:
Recommended texts:
- A. Giambattista, B. McCarthy Richardson, R.C. Richardson, "FISICA GENERALE - Principi e applicazioni", terza edizione, McGraw-Hill.
- D.C. Giancoli, "FISICA - Principi e applicazioni" terza edizione, Casa Editrice Ambrosiana.
Assessment methods and Criteria
Mathematics and Informatics:
The exam consists of a written test and a possible oral test.
The written test, lasting 90 minutes, consists of four open-ended exercises relating to the mathematics, probability and statistics topics covered during the course.
During the written test, the use of a non-programmable scientific calculator is permitted.
The written test is considered passed if the score obtained is at least 18 out of 30.
If the score reported is at least 25 points out of 30, the student may also choose to take an oral test which may modify to some extent (increase or decrease) the score acquired. The oral test can only be taken in the same session as the written test.
Physics:
Exam: written test.
Students who have passed the written exam can, at their discretion, take an oral exam or simply confirm the written mark
The exam consists of a written test and a possible oral test.
The written test, lasting 90 minutes, consists of four open-ended exercises relating to the mathematics, probability and statistics topics covered during the course.
During the written test, the use of a non-programmable scientific calculator is permitted.
The written test is considered passed if the score obtained is at least 18 out of 30.
If the score reported is at least 25 points out of 30, the student may also choose to take an oral test which may modify to some extent (increase or decrease) the score acquired. The oral test can only be taken in the same session as the written test.
Physics:
Exam: written test.
Students who have passed the written exam can, at their discretion, take an oral exam or simply confirm the written mark
FIS/07 - APPLIED PHYSICS - University credits: 6
INF/01 - INFORMATICS - University credits: 1
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 3
INF/01 - INFORMATICS - University credits: 1
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 3
Practicals: 48 hours
Lessons: 56 hours
Lessons: 56 hours
Professors:
Orsini Francesco, Scappini Nadia
Professor(s)