Andrea FORMATO | MATHEMATICS AND PHYSICS
Andrea FORMATO MATHEMATICS AND PHYSICS
cod. 0712200047
MATHEMATICS AND PHYSICS
| 0712200047 | |
| DIPARTIMENTO DI FARMACIA | |
| EQF6 | |
| GESTIONE E VALORIZZAZIONE DELLE RISORSE AGRARIE E DELLE AREE PROTETTE | |
| 2024/2025 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2016 | |
| FULL ACADEMIC YEAR |
| SSD | CFU | HOURS | ACTIVITY | ||
|---|---|---|---|---|---|
| MATEMATICA MODULO DI MATEMATICA E FISICA | |||||
| MAT/04 | 6 | 42 | LESSONS | ||
| FISICA MODULO DI MATEMATICA E FISICA | |||||
| FIS/07 | 6 | 42 | LESSONS | ||
| Objectives | |
|---|---|
| THE FIRST UNIT OF THE COURSE AIMS TO PROVIDE THE ACQUISITION OF BASIC TOOLS OF MATHEMATICS AND GEOMETRY WHICH ALLOW TO FACE MATHEMATICAL PROBLEMS AND TO STUDY THE APPLICATION OF MODELS BASED ON MATHEMATICAL STRUCTURES. THE SECOND UNIT OF THE COURSE AIMS TO PROVIDE THE KNOWLEDGEMENT OF THE MAIN PHYSICAL MODELS AND HYPOTHESIS ON WHICH SUCH MODELS ARE FOUND; ABILITY TO APPLY THESE MODELS IN REAL CASES RELATING TO AGRICULTURE. KNOWLEDGE ACQUIRED: - BASIC TOOLS OF CALCULUS AND GEOMETRY - BASIC KNOWLEDGE OF THEORETICAL CLASSICAL PHYSICS AND HYPOTHESIS ON WHICH SUCH MODELS ARE FOUNDED; THE MAIN SKILLS ACQUIRED ALLOW STUDENTS: - TO FACE A MATHEMATICAL PROBLEM SELECTING PROPER TOOLS; - ABILITY TO APPLY BASIC MODELS IN CASES REAL, TO ASSESS THE RELIABILITY OF RESULTS OBTAINED IN CONNECTION WITH MEASUREMENT ERRORS; - CAPABILITY TO REFORMULATE THE CONCEPTS EVEN IN DIFFERENT CONTESTS. |
| Prerequisites | |
|---|---|
| IT IS REQUIRED THE KNOWLEDGE OF BASIC CONCEPTS OF MATHEMATICS. |
| Contents | |
|---|---|
| MODULE 1 - MATHEMATICS (6CFU, 42 HOURS)) ELEMENTARY FUNCTIONS. FIELD OF EXISTENCE AND GRAPHS (2 HOURS) REAL VARIABLE. N-MA POWER FUNCTIONS, N-MA ROOT, (2 HOURS) POWER FUNCTION WITH REAL EXPONENT, (2 HOURS) EXPONENTIAL FUNCTION, LOGARITHMIC FUNCTION, (2 HOURS) TRIGONOMETRIC FUNCTIONS (SINE, COSINE, TANGENT AND COTANGENT). (2 HOURS) OPERATIONS ON LIMITS AND THEIR PROPERTIES. (2 HOURS) PROPERTIES ON CONTINUOUS FUNCTIONS. (2 HOURS) DISCONTINUITIES OF FUNCTIONS. (2 HOURS) INCREASING AND DECREASING FUNCTIONS. (2 HOURS) DERIVATIVES AND DIFFERENTIALS OF FUNCTIONS OF ONE VARIABLE. (2 HOURS) GEOMETRIC MEANING OF THE DERIVATIVE. (2 HOURS) GEOMETRIC MEANING OF THE DIFFERENTIAL (2 HOURS) DERIVATIVE OF ELEMENTARY FUNCTIONS. (2 HOURS) DERIVATIVES OF COMPOUND FUNCTIONS. (2 HOURS) FORMULAS AND RULES OF DERIVATION. (2 HRS.) ROLLE'S THEOREM, LAGRANGE'S THEOREM, DE L'HOSPITAL THEOREM. (2 HOURS) ASYNTOTICS. MAXIMA, MINIMA AND INFLECTIONS. (2 HOURS) STUDY OF THE GRAPH OF A FUNCTION. (2 HOURS) THEOREMS, RULES AND PROPERTIES OF INTEGRATION. (2 HOURS) GEOMETRIC MEANING OF THE INTEGRAL. (2 HOURS) IMMEDIATE INDEFINITE INTEGRALS. (2 HOURS) UNIT 2: PHYSICS (6CFU): INTRODUCTION TO PHYSICS: PHYSICAL QUANTITY, UNIT MEASUREMENT SYSTEMS, MEASUREMENT ERRORS, VECTORS. VELOCITY AND ACCELERATION. STUDY OF ONE DIMENTIONAL AND BIDIMENTIONAL MOTIONS. PRINCIPLES OF DYNAMICS. CONCEPT OF FORCE AND ITS APPLICATIONS. WORK, MECHANICAL ENERGY AND ITS CONSERVATION. MOMENTUM AND ITS CONSERVATIONS. DYNAMICS OF PARTICLE SYSTEMS. SOLID BODY DYNAMICS. (2,5CFU) PRESSURE, STATIC AND DYNAMICS OF IDEAL FLUIDS: STEVINO LAW, ARCHIMEDE LAW, PRINCIPLE OF PASCAL, EQUATION OF CONTINUITY AND THEORY OF BERNOULLI. VISCOSITY AND REAL FLUIDS. SEDIMENTATION AND CENTRIFUGING. SUPERFACE PRESSURE, LAPLACE LAW, BAGNESSABILITY, CAPILLARY. DIFFUSION AND OSMOSIS. (2CFU) TEMPERATURE AND HEAT. HEAT TRANSMISSION. PRINCIPLES OF THERMODYNAMICS AND THEIR APPLICATIONS TO IDEAL GAS. COULOMB FORCE, ELECTRIC FIELD. DIELETRICS AND POLARIZATION. ELECTRIC POTENTIAL, ELECTRIC CURRENT, OHM LAW. MAGNETIC FIELD, LORENTZ FORCE, MAGNETIZATION. INDUCTION FENOMENA. INTERPRETATION OF THE MAXWELL LAWS, THE ELECTROMAGNETIC SPECTRUM. (1,5CFU) |
| Teaching Methods | |
|---|---|
| THE TWO UNITS ARE BASED ON 84 HOURS OF CLASS LECTURES: 42 HOURS OF MATHEMATICS AND 42 OF PHYSICS. THE TWO UNITS INCLUDE THEORETICAL LECTURES AND PRACTICAL LECTURES (MAINLY BASED ON EXERCISES AND CASE STUDIES). |
| Verification of learning | |
|---|---|
| THE ACHIEVEMENT OF THE OBJECTIVES OF THE TEACHING IS CERTIFIED BY EXCEEDING AN EXAMINATION (MINIMUM 18/30) THAT IT HAVE TO BE OCCURRED IN THE ROUNDS ESTABLISHED BY THE CALENDAR, COMPOSED BY: 1) A WRITTEN TEST, CONSTITUTED BY 8 EXERCISES SO DIVIDED: - 4 MATHEMATICAL QUESTIONS (VECTOR CALCULATION, COMBINATORIAL CALCULUS, GEOMETRY, FUNCTIONS, INTEGRAL CALCULATION). - 4 PHYSICAL QUESTIONS (KINEMATICS, DYNAMICS, FLUID-DYNAMIC AND THERMODYNAMIC). THE STUDENT WILL BE ADMITTED TO THE ORAL EXAMINATION IF HE HAS REPORTED A SCORE AT LEAST EQUAL TO 18/30 IN THE WRITTEN TEST. DURING THE WRITTEN TESTING, USE OF THE SCIENTIFIC CALCULATOR IS ADMITTED ONLY. 2) AN ORAL EXAMINATION CONCERNING THE PHYSICS AND MATHEMATICS UNIT(AT LEAST EIGHT QUESTIONS). THE FINAL VOTE IS DEFINED CONSIDERING THE SCORE ACHIEVED AT THE WRITTEN TEST AND THE EVALUATION OBTAINED AT THE ORAL EXAM. AN ADDITIONAL “CUM LADE” MAY BE ATTRIBUTED TO STUDENTS WITH THE MAXIMUM SCORE (30/30) WHO HAVE DEMONSTRATED AUTONOMY AND ABILITY TO FACE MATHEMATICAL AND PHYSICAL PROBLEMS. |
| Texts | |
|---|---|
| MATHEMATICS: MARCO BRAMANTI, FULVIA CONFORTOLA, SANDRO SALSA: MATEMATICA PER LE SCIENZE ZANICHELLI BERGAMINI, BAROZZI TRIFONE .LEZIONI DI MATEMATICA ZANICHELLI PHYSICS: - KESTEN, TUCK, FONDAMENTI DI FISICA, ZANICHELLI. - E. RAGOZZINO, M. GIORDANO, L. MILANO, FONDAMENTI DI FISICA, ED. EDISES, NAPOLI. ADDITIONAL TEACHING MATERIAL: THE PROFESSORS PROVIDE SLIDES CONCERNING THE COURSE SUBJECTS. |
| More Information | |
|---|---|
| REQUIRED ATTENDANCE. TEACHING LANGUAGE: ITALIAN |
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