Unit PHYSICS WITH ELEMENTS OF MATHEMATICS

MATHEMATICS

Code	55106206
CFU	3
Teacher	Marco Cantarini
Teachers	Marco Cantarini
Hours	24 ore - Marco Cantarini
Learning activities	Affine/integrativa
Area	Attività formative affini o integrative
Sector	MATH-03/A
Type of study-unit	Obbligatorio (Required)
Language of instruction	Italian
Contents	The course aims to provide basic mathematics notions and skills.
Reference texts	Cristina Marcelli, Analisi Matematica 1, Pearson, 2019. The lecture slides will be uploaded to unistudium weekly.
Educational objectives	Knowledge of basic concepts such as functions, limits, derivatives and integrals and ability to apply these concepts in the study of functions.
Prerequisites	Basic knowledge of elementary concepts such as notable products, set theory, first- and second-degree equations and inequalities. Please remember that these concepts will be briefly reviewed during the introductory course.
Teaching methods	Lectures in the classroom with exercises.
Learning verification modality	The exam consists of a written test with three exercises, one of which is theoretical. The test lasts one hour and is aimed at verifying that the student correctly applies the knowledge acquired and masters the fundamental theoretical concepts. The exam will be considered passed if the score obtained is 18 out of 30 or greater. For information on support services for students with disabilities and/or DSA visit the page http://www.unipg.it/disabilita-e-dsa
Extended program	- Basic properties of real numbers; - Functions: definition, properties and elementary functions. - Limits: definition, limits of sequences and functions, operations, common limits; - Continuity and differentiability: definitions, points of discontinuity, properties of continuous functions, derivation, points of non-derivability, derivative elementary functions, rules of derivation. - Applications of differential calculus: fundamental theorems, scheme for the study of functions, optimization problems. - Integrals: definition, properties, immediate integrals, integration by parts, integration by substitution, division between polynomials.
Obiettivi Agenda 2030 per lo sviluppo sostenibile	Quality education.

PHySICS

Code	A002506
CFU	6
Teacher	Sara Palmerini
Teachers	Sara Palmerini
Hours	48 ore - Sara Palmerini
Learning activities	Base
Area	Discipline matematiche, fisiche, informatiche e statistiche
Sector	PHYS-06/A
Type of study-unit	Obbligatorio (Required)
Language of instruction	Italian
Contents	Elements of mechanics of the material point; introduction to physics; calculus with vectors; kinematics in one and two dimensions; forces and dynamic principles; work, energy, oscillations; momentum and shocks; hints of rotational dynamics; elements of fluid dynamics; elements of Electromagnetism: electrostatics; direct currents; magnetic field.
Reference texts	Titolo: Principi di Fisica per indirizzo biomedico e farmaceutico Autori: A. Lascialfari, F. Borsa, A. M. Gueli Casa Editrice: Edises Titolo: Elementi di Fisica Biomedica Autori: D. Scannicchio, E. Giroletti Casa Editrice: Edises Teacher's presentations
Educational objectives	The main objective of the course is the knowledge of basic physics.The main skills (i.e. the ability to apply the knowledge acquired) will be: the application of basic physics in solving physical and non-physical problems; the knowledge in problems related to the course of study; the development of the ability to build tools and methods in the study of theoretical concepts and in their application that can be used to face new situations.
Prerequisites	In order to understand the teaching topics and be able to successfully carry out exercises and applications, it is useful to have attended the Mathematics course and possibly passed the exam.The topics covered in the course of teaching require the ability to solve simple limits, derivatives and integrals.
Teaching methods	frontal teaching with theoretical lessons and exercises
Other information	Attendance at lectures and at exercises is strongly recommended.
Learning verification modality	The exam consists of a written test with multiple choice questions administered via the LibreEOL platform on the student's computer and takes place in the classroom. The submission of the paper containing the calculations and used to determine the correct answers is required together. The test lasts 2 hours and is aimed at verifying the knowledge and understanding of the theoretical contents and the ability to apply them to solve simple problems. Following the written test, it is also possible to take an optional oral test.
Extended program	PHYSICAL QUANTITIES AND THEIR MEASUREMENT: Physical quantities. Dimensions of a greatness. Approximate values of length, mass, time. Systems of units of measure and conversions. Scalar quantities and vector quantities. Operations on vector quantities. Calculations and significant figures. KINEMATICS: Position, speed and acceleration. Uniform rectilinear and uniformly accelerated motion. Uniform and non-uniform circular motion. Harmonic motion. DYNAMICS: The forces. The laws of dynamics. The force of gravity. The friction force. Mass, weight and density. The force of viscous friction and sedimentation. Centrifugal force and centrifugation. Fundamentals of dynamics of the rigid body. STATIC: The forces. The moment of a force. Translational and rotational equilibrium conditions. The center of gravity. WORK, ENERGY AND POWER: Forces and force fields. Work and energy. Kinetic energy and kinetic energy theorem. Potential energy and conservative forces. Conservation of mechanical energy. Potential energy and forces: equilibrium conditions of a mechanical system. Power and performance. Muscle work and power. STATICS AND DYNAMICS OF FLUIDS: Equilibrium of a fluid. Pressure measurement. Surface tension. Capillarity phenomena. Dynamics of perfect fluids. Laminar regime and turbulent regime. Hydrodynamics of blood circulation. Cardiac work and power. Blood viscosity. Laplace's formula and blood vessel balance. GASES AND SOLUTIONS: Ideal gas laws. Real gas laws. Partial pressure. The solutions. Spread. Osmosis and osmotic pressure. Osmotic work and chemical potential in dilute solutions. Electrochemical potential and Donnan-Gibbs equilibrium. Osmotic phenomena and gas diffusion in the human organism. Mechanics of breathing. MECHANICAL AND ACOUSTIC WAVES. Perturbations and wave model. Wave propagation law. Wave interference. Standing waves. The sound. The characters of sound. OPTICS. Nature of light. Huygens principle. Laws of reflection and refraction. The dispersion of light and the prism. The diopter. The thin lenses. The interference of light. The diffraction of light. Functioning of the eye as a centered optical system. Visual acuity. Convergence defects and corrective lenses. Chromatic vision. OPTICAL INSTRUMENTS. Simple and compound microscope and relative magnification. The resolving power of the microscope. Phase contrast microscope and polarizing microscope. ELECTROMAGNETISM. The electric charge. Coulomb's law. Superposition principle. The electric field. Field lines. Electric field flux. Gauss theorem. Electric potential energy and electric potential. Electric dipole potential. Conductors and insulators. The capacitors. The electric current continues. Electric resistance and Ohm's law. Electromotive force and direct current circuits. Thermal effect of the current. electrolytic conductors. Electrolysis. Electrophoresis. The magnetic field. The Lorentz force is the motion of a charged particle in a uniform magnetic field. Magnetic field generated by a solenoid. Ampere's theorem. electromagnetic induction. Self-induction coefficient. R-L circuit. Charge and discharge of a capacitor. RC circuit RADIATION AND MATTER. Notes on atomic structure and quantum theory. Absorption and emission of electromagnetic waves. Ultraviolet rays. X-rays and the principles of radiology. Nucleus structure. natural isotopes. a, ß and ¿ radiation. Radioactivity. Law of radioactive decay. Biological effect of ionizing radiation. Dosimetry. Use of ionizing radiation in medicine. NMR Spectroscopy.
Obiettivi Agenda 2030 per lo sviluppo sostenibile