Unit PHYSICS WITH ELEMENTS OF MATHEMATICS
- Course
- Pharmacy
- Study-unit Code
- 65903610
- Curriculum
- In all curricula
- Teacher
- Sara Palmerini
- CFU
- 9
- Course Regulation
- Coorte 2023
- Offered
- 2023/24
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa integrata
MATHEMATICS
| Code | 55106206 |
|---|---|
| CFU | 3 |
| Teacher | Antonio Boccuto |
| Teachers |
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| Hours |
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| Learning activities | Affine/integrativa |
| Area | Attività formative affini o integrative |
| Academic discipline | MAT/05 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | Italian. It is possible to do the examination also in English. |
| Contents | Elements of analytic geometry, trigonometry, inequalities, sets, real numbers, elementary functions, injective, surjective and bijective functions. Percentuals, equivalences. Limits, derivatives and study of functions. Integrals and applications to probability and statistics. Definite and indefinite integral. Fundamental theorems. Improper integrals. Gamma function. Gaussian distribution. Probability density. Combinatorics and probability. Conditioned probability. Elements of descriptive statistics: mean, median, mode, variance, mean square error, covariance, correlation coefficient, regression line. |
| Reference texts | Didactic material given by the teacher. |
| Educational objectives | THE TRANSMISSION OF KNOWLEDGE!!! The aim of the course is to introduce, form and illustrate the basic mathematics to well understand natural phaenomena and several applications to various branches of sciences, taking into account the poetry and the art hidden in Mathematics, to arouse the curiosity of the students. 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 understand in detail 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, investigation on polynomials |
| Teaching methods | The frequency is not officially mandatory, but warmly suggested, AS WELL AS A DAILY SERIOUS AND RESPONSIBLE STUDY. The course is split into theoretical lessons and practical lessons, which will be given by means of a projector and/or a computer, 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 tutorial service and in which the students are followed individually by the teacher. |
| Other information | The hours dedicated to exercises are FUNDAMETAL!!! |
| Learning verification modality | The exam consists in a series of tests. Every test is oral, and sometimes by some written tests can be added (BUT NOT NECESSARILY). The teacher will ask ALL THE SUBJECTS IN DETAIL, INCLUDED SOME EXERCISES WHICH MUST BE DONE AND EXPLAINED IMMEDIATELY. |
| Extended program | Elements of analytic geometry, trigonometry, inequalities, sets, real numbers, elementary functions, injective, surjective and bijective functions. Percentuals, equivalences. Limits, derivatives and study of functions. Integrals and applications to probability and statistics. Definite and indefinite integral. Fundamental theorems. Improper integrals. Gamma function. Gaussian distribution. Probability density. Combinatorics and probability. Conditioned probability. Elements of descriptive statistics: mean, median, mode, variance, mean square error, covariance, correlation coefficient, regression line. |
| Obiettivi Agenda 2030 per lo sviluppo sostenibile | What situation make it advisable. |
PHySICS
| Code | A002506 |
|---|---|
| CFU | 6 |
| Teacher | Sara Palmerini |
| Teachers |
|
| Hours |
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| Learning activities | Base |
| Area | Discipline matematiche, fisiche, informatiche e statistiche |
| Academic discipline | FIS/04 |
| 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 application of this 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 class |
| Other information | Attending the lectures and exercise classes is not mandatory, but strongly advised. |
| 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 schemes 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. |
| 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. |