Unit PHYSICS AND MATHEMATICS
MATHEMATICS
Code  55106206 

Location  PERUGIA 
CFU  3 
Teacher  Antonio Boccuto 
Teachers 

Hours 

Learning activities  Affine/integrativa 
Area  Attività formative affini o integrative 
Sector  MAT/05 
Type of studyunit  Obbligatorio (Required) 
Language of instruction  Italian 
Contents  Sets and numbers. Inequalities. Functions. Lines, absolute value, graphs, polynomials. Powers, logarithms, exponential, trigonometric functions. Sequences, limits, derivatives and integrals. Improper integrals. Elements of linear algebra. Element of descriptive statistics. Regression line. 
Reference texts  1) D. Benedetto, M. Degli Esposti, C. Maffei, "Matematica per le scienze della vita", Epitesto, Milano, 2008, 2) Mat&matica. Corso di base per discipline biofarmaceutiche di M. Cristina Patria, Gaetano Zanghirati, with a particular look at several applications, and we analyze the book M. Bramanti, "Pre Calculus", Esculapio, Bologna, 2010. This last text is useful also to fill some eventual gaps on the level of the students. Texts 1) and 3) have been avaliable in the library of the Dipartimento di Matematica e Informatica of the University of Perugia since the beginning of the Academic Year 2018/19. The teacher will give also some material concerning text 2). The elements of Statistics will be investigated also on the textbook Maria Garetto, "StatisticaLezioni ed esercizi", available on internet at the web page http://www.mat.unimi.it/users/zampieri/chimica/garetto_statistica.pdf Concerning the exercises, the student can look at the web page http://docente.unife.it/giulia.giantesio/esercizi 
Educational objectives  The aim of the course is to introduce, form and illustrate the basic mathematics to well understand natural phaenomena and several applications to several branches of sciences, taking into account the poetry and the art hidden in Mathematics. It is required that the student handles fluently the fundamental tools and have the basic notions of Linear Algebra and Statistics, which are useful for successive studies in several sciences, in order to investigate some fundamental aspects of them. It is requested also that the student is able to work in team, but also in autonomy. 
Prerequisites  To better understand the topics covered in the course the student should be familiar with notions like decomposition of simple algebraic expressions, set theory (union, intersection, complement, difference, Venn diagram, algebra of sets), resolution of linear and quadratic equations and inequalities of first and second degree, investigation on polynomials. 
Teaching methods  The course is split in theoretical lessons and practical lessons, which will be given by means of a projector, in these latter several exercises are carried out in class. The course is organized by means of these kinds of lectures and supplementary didactical activities, which include the tutotal service and in which the students will be followed individually by the teacher. 
Other information  The teacher will put on the unistudium platform his lectures and some other teaching material. 
Learning verification modality  Written and OBLIGATORY oral exam. The written exam consists of solving exercises. One passes the written examination if and only if the note is greater than or equal to 16/30. The written examination, when it is successively passed, does not need to be repeated and its note will be ALWAYS kept for all successive sections until the oral examination will be passed. The oral examination consists in topics which cover all the program, even exercises and applications to different branches of sciences. The time to solve the written test is exactly 2 hours. The assigned exercises are modelled on those solved during the lessons. The written exam is designed to assess the ability of solving concrete or teoric problems, and during the written examination it is possible to have books and notes and ONLY small scientific calculators (not large machines). To use computers and/or telephones is forbidden. See also the web page http://www.unipg.it/disabilitaedsa During the lessons, there will be some moments to verfy the level of the students, in order to receive some "discounts" (mostly, concerning the best students), whose use the teacher will be decide, in order to encourage the DAILY METHOD OF STUDYING, to arrive to the exam with an adequate preparation, but as "softly" as possible. In general the examination is given in Italian, but if the student wants, it can be done also in English. 
Extended program  Sets and numbers. Inequalities. Functions. Lines, absolute value, graphs, polynomials. Powers, logarithms, exponential, trigonometric functions. Sequences, limits, derivatives and integrals. Improper integrals. Elements of linear algebra. Element of descriptive statistics. Regression line. 
PHYSICS
Code  A000371 

Location  PERUGIA 
CFU  6 
Teacher  Michele Pauluzzi 
Teachers 

Hours 

Learning activities  Base 
Area  Discipline matematiche, fisiche, informatiche e statistiche 
Sector  FIS/07 
Type of studyunit  Obbligatorio (Required) 
Language of instruction  Italian 
Contents  Introduction: fundamental units, vectors and scalars. Kinematics and Mechanics: Newton laws; Forces, Work and Energy; Momenta, Collisions; Rigid bodies and Rotational motions. Fluid mechanics and Dynamics. Electricity and Magnetism: Electric field, Magnetic field, Maxwell laws 
Reference texts  recommended: Serway & Jewett, Principi di Fisica Vol. I, EdiSES editore Alternatively: James S. Walker, Fondamenti di Fisica Vol.I e II, Zanichelli 
Educational objectives  The main goal of the moduls consists in fundamental classical Physics knowledge.The most important competences (i.e. the ability to apply the acquired knowledge) will be:applying basic Physics in the solution of Physics (and non Physics) problems;applying this theoretical knowledge to address problems related to this Course of Studies;developing the ability of building instruments and methods in the study of theoretical concepts and in their application, when facing new situations 
Prerequisites  In order to be able to understand and apply the majority of the subjects addressed within the course, it is useful to have attended to the Mathematics course, and possibily have successufully passed the exam.Topics of the module do require the ability to solve simple limits, derivatives and integrals. 
Teaching methods  Module lessons are held by the professor, twice a week, and consist of two hour front lessons and practical exercises and applications covering Physics problems. 
Learning verification modality  The exams consists of a written test and an oral one.The written test consists on the solution of onetwo Physics problems. The tests has a duration of about 2 hours. It is designed in such a way to evaluate the understanding of the theoretical knowledge as well as the ability to correctly apply it in the solution of the proposed issues.The oral exam consists in an interview lasting about 15 to 30 minutes, aiming at ascertaining the knowledge level and understanding acquired by the student on the theoretical content of the course, evaluating as well the student communication skills. 
Extended program  1. KINEMATICS AND MECHANICS 1.1. Introduction to Physics Fundamental quantities, Dimensional analysis. 1.2. Vectors Scalar and vector quantities. Properties of vectors. 1.3. Motion in one and two dimensions Displacement, Velocity and instantaneous velocity vector. Acceleration and instantaneous acceleration vector. Kinematic equations. Motion with constant velocity and motion with constant acceleration. Free falling objects. 1.4. Forces and Newton?s Laws Newton?s first law. Concept of force and its properties. Inertial mass. Newton?s second law. Newton?s law of universal gravitation and weight. Newton?s third law. Normal forces. Forces of friction. Tension. Circular motion: angular velocity, centripetal acceleration, period. Nonuniform circular motion: tangential and centripetal acceleration. Centripetal forces. 1.5. Work, Energy, Oscillations Work done by a force. Kinetic energy. Kinetic energy theorem. Conservative forces and Potential energy. Conservation of mechanical energy. Conservation of Energy in general. Elastic forces: work and conservation of energy. Harmonic motion in one dimension. Pendulum. 1.6. Linear momentum and collisions Linear momentum and impulse. Internal and external forces. Conservation of linear momentum. Elastic and inelastic collisions in one and two dimensions. Center of mass. 1.7. Introduction to Rotational kinematics and dynamics. Momentum. Angular and linear quantities. Moments of inertia. Conservation of angular momentum. 2. FLUID MECHANICS 2.1. Hydrostatics and Fluid dynamics Fluids. Density. Pressure and Stevin?s law. Pascal?s law. Archimedes?s principle. Dynamics of ideal fluids: equation of continuity, Bernoulli?s equation. 3. ELECTRICITY AND MAGNETISM 3.1. Electrostatics Electric charges. Coulomb?s law. Insulators and conductors. Electrostatic field; Electric field lines and Gauss?s law for point charge or a charge with spherical or planar symmetry. Electric potential and potential energy due to point charges. Potential differences. Capacitance. Capacitance for planar capacitors. Energy stored in a charged capacitor. 3.2. Currents and resistence Electric current. Resistance and Ohm?s law. Electrical power. Direct current circuits with resisters in series and in parallel. 3.3. Magnetic fields Magnetic field. Lorentz?s force. Motion of a charged particle in magnetic and electric fields; applications. Magnetic force on a currentcarrying conductor. BiotSavart Law. Ampere?s law and magnetic field of a currentcarrying rectilinear conductor. Magnetic forces between two parallel conductors. 3.4. Elettromagnetic induction Electromagnetic induction: Faraday?s law. Inductance. Mutual inductance. Self inductance. Induced emfs and electric fields: generalized Ampere?s law 3.5. Maxwell?s equations 