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MATHEMATICS AND COMPUTER SCIENCE + PHYSICS

Academic year and teacher
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Versione italiana
Academic year
2022/2023
Teacher
GIOVANNI DI DOMENICO
Credits
12
Didactic period
Secondo Semestre

Training objectives

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Modulo: 27148 - MATEMATICA ED INFORMATICA
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******* MATHEMATICS AND COMPUTER SCIENCE *******

The educational objective of this teaching module is to provide basic knowledge on mathematics and computer science topics that might be useful to the disciplines that characterize the study curriculum. Particular attention is dedicated to the comprehension of the following arguments:
- main functions and their properties (polynomial, rational, logarithm, exponential, trigonometric);
- concepts of limits and continuity;
- the concept of derivative and its geometric meaning;
- the concept of definite, indefinite and improper integral, and its geometric interpretation;
- matrices, determinant, rank and linear systems;
- probabilistic interpretation of events, probability calculation in the discrete case;
- main continuous probability distributions (uniform, exponential and normal).

The above-mentioned topics are contextualized within life sciences practical problems, like the study and balancing of chemical reactions, the evolution of cell volume, population growth, as well as the Hardy–Weinberg principle in population genetics.
The educational objectives of computer science include the learning and teaching of mathematics through the GeoGebra software (https://www.geogebra.org/).

During the advancement of this module the student acquires the following skills:
- study of a function graph;
- use of the concepts of limit, derivative and integral to study fundamental phenomena of applied sciences, like the evolution of a population;
- probabilistic interpretation of events;
- probability calculation in the discrete case;
- resolution of a linear system applied to the balancing of chemical reactions;
- development of exponential, uniform and normal functions.

******* PHYSICS *******

The educational objective of this teaching module is to provide basic knowledge on physics topics useful to the comprehension of the main natural phenomena, paying particular attention to the field of pharmacy. The following topics are integral part of the course educational objectives:
- units of measurement of physical quantities;
- kinematics of the pointlike particle;
- dynamics of the pointlike particle;
- work, energy and power;
- fluid statics and dynamics;
- thermology and thermodynamics;
- electric field and the electromagnetic spectrum;
- radioactivity.

The topics covered are contextualized within the field of pharmacy in such a way as to establish conceptual links with other teachings for which physics knowledge proves relevant.
During the advancement of this module the student acquires the following skills:
- qualitative comprehension of a physical phenomenon;
- abstraction of the empirical observation, recalling physics fundamental principles;
- rigorous methodology to solve physics problems;
- use of the suitable units of measurement;
- comprehension of the orders of magnitude in physics.

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Modulo: 27149 - FISICA
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The educational objective of this teaching module is to provide basic knowledge on physics topics useful to the comprehension of the main natural phenomena, paying particular attention to the field of pharmacy. The following topics are integral part of the course educational objectives:
- units of measurement of physical quantities;
- kinematics of the pointlike particle;
- dynamics of the pointlike particle;
- work, energy and power;
- fluid statics and dynamics;
- thermology and thermodynamics;
- electric field and the electromagnetic spectrum;
- radioactivity.

The topics covered are contextualized within the field of pharmacy in such a way as to establish conceptual links with other teachings for which physics knowledge proves relevant.
During the advancement of this module the student acquires the following skills:
- qualitative comprehension of a physical phenomenon;
- abstraction of the empirical observation, recalling physics fundamental principles;
- rigorous methodology to solve physics problems;
- use of the suitable units of measurement;
- comprehension of the orders of magnitude in physics.

Prerequisites

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Modulo: 27148 - MATEMATICA ED INFORMATICA
------------------------------------------------------------
******* MATHEMATICS AND COMPUTER SCIENCE *******

The required prerequisites are essentially the basic mathematical knowledge typically taught at the upper secondary schools: concepts of number, unit of measurement, equality, inequality and the four basic operations, their properties included.

******* PHYSICS *******

The student is required to know basic mathematical knowledge typically taught at the upper secondary schools, as well as to have some familiarity with equations and units of measurement.

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Modulo: 27149 - FISICA
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The student is required to know basic mathematical knowledge typically taught at the upper secondary schools, as well as to have some familiarity with equations and units of measurement.

Course programme

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Modulo: 27148 - MATEMATICA ED INFORMATICA
------------------------------------------------------------
******* MATHEMATICS AND COMPUTER SCIENCE *******

- Matrices, determinants, rank of a matrix, linear systems. Application to the study and the balancing of chemical reactions.
- Algebraic functions: linear, quadratic, polynomial, power and rational functions, limits and continuity.
- Transcendental functions: exponential and logarithmic functions.
- Differential calculus: derivatives, differentiation, algebraic and transcendent functions, maxima and minima, quantitative study of functions, L'Hôpital's rule.
- Integral calculus: definition of integral, properties of the integral, indefinite integral, integration by parts, integration by substitution, improper integrals.
- Application of differential and integral calculus to problems of chemistry and of the evolution of cell volume.
- Continuous probability: random variables, mean and variance of random variables, continuous random variables, distribution function, uniform distribution, exponential distribution, normal distribution.
- Discrete probability: events, probability distribution, relative frequencies, probability axioms, independent events, conditional probability, diagnostic test.
- Data representation: function, Cartesian coordinates, equations and inequations, Cartesian coordinate system, histograms, mean, median and mode, variance.
- Application of the discrete and continuous probability to problems of population growth and of equilibrium in population genetics (Hardy–Weinberg principle).
- Introduction to GeoGebra software for the calculation of limits, derivatives and integrals, and for drawing graphs of functions. This software is also used to solve systems of linear equations and for represent the space of solutions in 2D and 3D. The main GeoGebra controls of probability and statistics are taught (Bernoulli Control, Binomial Control, Random Normal Control, Random Poisson Control, Random Uniform Control).

******* PHYSICS *******

- Physical quantities, dimensions of a physical quantity, approximate values of length, mass, time, units of measurement systems and conversions, scalar and vector quantities.
- Position, velocity and acceleration of the pointlike particle, uniform linear motion and linear uniformly accelerated motion.
- Forces, laws of dynamic, force of gravity, weight and density.
- Work, energy, kinetic energy and its theorem, potential energy.
- Conservative forces, conservation of mechanical energy, power and efficiency.
- Hydrostatic equilibrium, pressure measurement, surface tension, capillary actions, hydrodynamics of blood flow.
- Ideal gas laws, thermodynamic work, heat and temperature, internal energy.
- First law of thermodynamics, heat capacity and specific heat capacity, phase change and latent heat.
- Second law of thermodynamics, enthalpy, entropy and free energy mentions.
- Mechanical waves and acoustics.
- Optics, laws of reflection and refraction, dispersion of light.
- The electric charge, Coulomb's law, the electric field and the electric potential.
- Direct current and the thermal effect of current.
- Spectrum of electromagnetic waves and mentions of the atomic structure.
- Nuclei structure and radioactivity.

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Modulo: 27149 - FISICA
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- Physical quantities, dimensions of a physical quantity, approximate values of length, mass, time, units of measurement systems and conversions, scalar and vector quantities.
- Position, velocity and acceleration of the pointlike particle, uniform linear motion and linear uniformly accelerated motion.
- Forces, laws of dynamic, force of gravity, weight and density.
- Work, energy, kinetic energy and its theorem, potential energy.
- Conservative forces, conservation of mechanical energy, power and efficiency.
- Hydrostatic equilibrium, pressure measurement, surface tension, capillary actions, hydrodynamics of blood flow.
- Ideal gas laws, thermodynamic work, heat and temperature, internal energy.
- First law of thermodynamics, heat capacity and specific heat capacity, phase change and latent heat.
- Second law of thermodynamics, enthalpy, entropy and free energy mentions.
- Mechanical waves and acoustics.
- Optics, laws of reflection and refraction, dispersion of light.
- The electric charge, Coulomb's law, the electric field and the electric potential.
- Direct current and the thermal effect of current.
- Spectrum of electromagnetic waves and mentions of the atomic structure.
- Nuclei structure and radioactivity.

Didactic methods

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Modulo: 27148 - MATEMATICA ED INFORMATICA
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******* MATHEMATICS AND COMPUTER SCIENCE *******

The course is organized with alternating theoretical traditional lectures and exercises of both mathematics and computer science.

******* PHYSICS *******

The course is organized with alternating theoretical traditional lectures and exercises.
- The traditional lectures address the topic of the course syllabus through slideshows, anticipating a strong interaction with the students. At the end of every lesson there is a multiple choice test on the topics discussed.
- The exercises refer to the topics discussed during the lectures and unfold through the use of slideshows, involving the students in the execution of the exercises. These exercises aim at not only providing solutions to the problems, but also teaching a rigorous method for tackling physics problems.
The teaching materials and the tests carried out at the end of the lessons are shared using the Google Classroom platform, through which the students can interact with the teachers in real-time.

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Modulo: 27149 - FISICA
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The course is organized with alternating theoretical traditional lectures and exercises.
-The traditional lectures address the topic of the course syllabus through slideshows, anticipating a strong interaction with the students. At the end of every lesson there is a multiple choice test on the topics discussed.
-The exercises refer to the topics discussed during the lectures and unfold through the use of slideshows, involving the students in the execution of the exercises. These exercises aim at not only providing solutions to the problems, but also teaching a rigorous method for tackling physics problems.
The teaching materials and the tests carried out at the end of the lessons are shared using the Google Classroom platform, through which the students can interact with the teachers in real-time.

Learning assessment procedures

******* MATHEMATICS AND COMPUTER SCIENCE *******

The teaching foresees the following tests:
- A first partial written test consisting in 4 exercises: study of a function (10 points), linear system (8 points), defined integrals (8 points), improper integrals (4 points).
- A second partial written test consisting in 4 exercises: probability (8 points), exponential distribution (10 points), descriptive statistic (6 points), normal distribution (6 points).
- A total written test consisting in 5 exercises: linear system (8 points), improper integrals (4 points), exponential distribution (8 points), normal distribution (6 points), study of a function (4 points).
The mathematics module is considered passed if the mean of the grades of the two partial tests or the grade of the total test is greater than or equal to 18.

******* PHYSICS *******

The physics module is considered passed if the students achieves a grade greater than or equal to 18 performing the tests following one of the following procedures.

Procedure 1.

- At the end of every lesson there is a multiple choice test consisting in 5 questions. Every right answer amounts to 0.1 points.
- At the end of the first part of the course there is an in itinere test consisting in 3 exercises and lasting 30 minutes. Every right exercise amounts to 5 points.
- At the end of the second part of the course there is an in itinere test consisting in 3 exercises and lasting 30 minutes. Every right exercise amounts to 5 points.
The physics module is considered passed if the sum of the points obtained in the multiple choice tests and the two partial test is greater than or equal to 18.

Procedure 2.

During the academic year, preferably during the examination sessions, at least 6 written exams are scheduled. The written tests consists in 5 exercises to be solved in 1 hour.

The final grade of the MATHEMATICS AND COMPUTER SCIENCE + PHYSICS is the arithmetic mean between the grade of the physics module and the grade of the mathematics and computer science module.

Reference texts

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Modulo: 27148 - MATEMATICA ED INFORMATICA
------------------------------------------------------------
******* MATHEMATICS AND COMPUTER SCIENCE *******

The suggested text is:
- Marco Abate, matematica e Statistica. Le basi per le scienze della vita, 3a edizione, McGraw-Hill Libri, Milano, 2017.
Other suggested text are:
- Maria Cristina Patria e Gaetano Zanghirati, matematica. Corso di base per discipline bio-farmaceutiche, Pitagora Editrice, Bologna, 2003.
- Vinicio Villani, Graziano Gentili, matematica. Comprendere e interpretare fenomeni delle scienze della vita, McGraw-Hill Libri, Milano, 2012.

******* PHYSICS *******

- The suggested text is:
- F. Borsa e A. Lascialfari, Principi di fisica per indirizzo biomedico e farmaceutico, EdiSES, 2020.
The eBook version of the text (https://www.edisesuniversita.it/area_scientifica/lascialfari-principi-di-fisica-iii-ed.html) was customized and supplemented by the teacher. The teaching materials distributed by the teacher as well as the exercises carried out by the tutor are shared with the students through the Google Classroom platform.

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Modulo: 27149 - FISICA
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-The suggested text is:
-F. Borsa e A. Lascialfari, Principi di fisica per indirizzo biomedico e farmaceutico, EdiSES, 2020.
The eBook version of the text (https://www.edisesuniversita.it/area_scientifica/lascialfari-principi-di-fisica-iii-ed.html) was customized and supplemented by the teacher. The teaching materials distributed by the teacher as well as the exercises carried out by the tutor are shared with the students through the Google Classroom platform.