Fausto ACERNESE | PHYSICS WITH ELEMENTS OF MATHEMATICS AND STATICS

cod. 0712300001

PHYSICS WITH ELEMENTS OF MATHEMATICS AND STATICS

	0712300001
	DIPARTIMENTO DI FARMACIA
	EQF6
	PHARMACEUTICALS AND NUTRACEUTICALS FOR ANIMALS
	2024/2025

PERCORSO COMUNE

	OBBLIGATORIO
	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2022
	AUTUMN SEMESTER

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	FIS/07	9	72	LESSONS	BASIC COMPULSORY SUBJECTS

PROFESSORS

	FAUSTO ACERNESE T Curriculum
	PAOLA PARAGGIO Curriculum

	Objectives
	THE COURSE AIMS TO PROVIDE NOTIONS ON THE MAIN PHYSICAL MODELS TO BE APPLIED IN SUBSEQUENT TEACHING COURSES, WITH PARTICULAR ATTENTION TO THE PRINCIPLES OF THERMODYNAMICS, ELECTROSTATICS AND ELECTRODYNAMICS AND OPTICS AND PROVIDE FUNDAMENTAL CONCEPTS OF MATHEMATICS AND ELEMENTS OF STATISTICS WITH EMPHASIS ON APPLICATIONS. THE AIM OF THE COURSE IS TO ENABLE THE STUDENT TO SOLVE SIMPLE PROBLEMS AND EXERCISES BY APPLYING THE THEORETICAL KNOWLEDGE ACQUIRED.

THE COURSE AIMS TO PROVIDE NOTIONS ON THE MAIN PHYSICAL MODELS TO BE APPLIED IN SUBSEQUENT TEACHING COURSES, WITH PARTICULAR ATTENTION TO THE PRINCIPLES OF THERMODYNAMICS, ELECTROSTATICS AND ELECTRODYNAMICS AND OPTICS AND PROVIDE FUNDAMENTAL CONCEPTS OF MATHEMATICS AND ELEMENTS OF STATISTICS WITH EMPHASIS ON APPLICATIONS.
THE AIM OF THE COURSE IS TO ENABLE THE STUDENT TO SOLVE SIMPLE PROBLEMS AND EXERCISES BY APPLYING THE THEORETICAL KNOWLEDGE ACQUIRED.

	Prerequisites
	- FUNDAMENTALS OF ALGEBRA, EQUATIONS, INEQUALITIES AND PROBLEM SOLVING, TRIGONOMETRY, ELEMENTARY FUNCTIONS, CONICS.

	Contents
	MATHEMATICS (6 CFU, 48 ORE): ELEMENTS OF ANALYTIC GEOMETRY (4 HOURS) BASIC CONCEPTS OF A FUNCTION (8 HOURS) DOMAIN OF A FUNCTION (4 HOURS) LIMIT OF A FUNCTION. PROPERTIES OF THE LIMIT OF A FUNCTION ( 4 HOURS). REMARKABLE LIMITS. COMPARISON OF INFINITELY SMALL QUANTITIES ( 4 HOURS) CONTINUOUS FUNCTIONS. CONTINUITY OF ELEMENTARY FUNCTIONS. BASIC PROPERTIES OF CONTINUOUS FUNCTIONS.WEIERSTRASS THEOREM, (4 HOURS) DERIVATIVE OF A FUNCTION. PHYSICAL AND GEOMETRICAL MEANING OF THE DERIVATIVE. TANGENT LINE. TABLE OF DERIVATIVES AND DIFFERENTIATION RULES (4 HOURS) EXTREMAL POINTS. THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS (ROLLE, LAGRANGE) (4 HOURS) GRAPH OF A FUNCTION (4 HOURS) ANTIDERIVATIVE. INDEFINITE INTEGRAL AND ITS PROPERTIES. TABLE OF BASIC INTEGRALS (4 HOURS) DEFINITE INTEGRALS, FUNDAMENTAL THEOREM OF INTEGRATION (4 HOUR) PHYSICS (3 CFU, 24 HOURS): THE SCIENTIFIC METHOD. PHYSICAL QUANTITIES AND SYSTEMS UNIT OF MEASURE. (2 HOURS). VELOCITY AND ACCELERATION. LINEAR AND BIDIMENSIONAL MOTION. VARIED MOTION (4 HOURS). PRINCIPLES OF DYNAMICS. GRAVITATIONAL FORCE AND WEIGHT. ELESTIC FORCE. CONSTRAINTS AND FRICTION. WORK. MECHANICAL ENERGY AND ITS CONSERVATION. MOMENTUM AND ITS CONSERVATION. CENTER OF MASS. (8 HOURS). LIQUIDS AND THEIR PROPERTIES. PRESSURE. LAW OF STEVINO. PRINCIPLE OF ARCHIMEDE, PRINCIPLE OF PASCAL. IDEAL FLUID: EQUATION OF CONTINUITY AND BERNOULII'S EQUATION (8 HOURS). TEMPERATURE AND HEAT. MECHANISMS OF HEAT TRANSFER (2 HOURS)

Contents

MATHEMATICS (6 CFU, 48 ORE):
ELEMENTS OF ANALYTIC GEOMETRY (4 HOURS)
BASIC CONCEPTS OF A FUNCTION (8 HOURS)
DOMAIN OF A FUNCTION (4 HOURS)
LIMIT OF A FUNCTION. PROPERTIES OF THE LIMIT OF A FUNCTION ( 4 HOURS).
REMARKABLE LIMITS. COMPARISON OF INFINITELY SMALL QUANTITIES ( 4 HOURS)
CONTINUOUS FUNCTIONS. CONTINUITY OF
ELEMENTARY FUNCTIONS. BASIC PROPERTIES OF
CONTINUOUS FUNCTIONS.WEIERSTRASS THEOREM, (4 HOURS)
DERIVATIVE OF A FUNCTION. PHYSICAL AND
GEOMETRICAL MEANING OF THE DERIVATIVE.
TANGENT LINE. TABLE OF DERIVATIVES AND
DIFFERENTIATION RULES (4 HOURS)
EXTREMAL POINTS. THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS
(ROLLE, LAGRANGE) (4 HOURS)
GRAPH OF A FUNCTION (4 HOURS)
ANTIDERIVATIVE. INDEFINITE INTEGRAL AND ITS
PROPERTIES. TABLE OF BASIC INTEGRALS (4 HOURS)
DEFINITE INTEGRALS, FUNDAMENTAL THEOREM OF INTEGRATION (4 HOUR)

PHYSICS (3 CFU, 24 HOURS):
THE SCIENTIFIC METHOD. PHYSICAL QUANTITIES AND SYSTEMS UNIT OF MEASURE. (2 HOURS).
VELOCITY AND ACCELERATION. LINEAR AND BIDIMENSIONAL MOTION. VARIED MOTION (4 HOURS).
PRINCIPLES OF DYNAMICS. GRAVITATIONAL FORCE AND WEIGHT. ELESTIC FORCE. CONSTRAINTS AND FRICTION. WORK. MECHANICAL ENERGY AND ITS CONSERVATION. MOMENTUM AND ITS CONSERVATION. CENTER OF MASS. (8 HOURS).
LIQUIDS AND THEIR PROPERTIES. PRESSURE. LAW OF STEVINO. PRINCIPLE OF ARCHIMEDE, PRINCIPLE OF PASCAL. IDEAL FLUID: EQUATION OF CONTINUITY AND BERNOULII'S EQUATION (8 HOURS).
TEMPERATURE AND HEAT. MECHANISMS OF HEAT TRANSFER (2 HOURS)

	Teaching Methods
	THE TWO UNITS ARE BASED ON 72 HOURS OF CLASS LECTURES: 48 HOURS OF MATHEMATICS AND 24 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 PASSING AN EXAMINATION WITH AN EVALUATION IN THIRTIETHS (MINIMUM 18/30) HELD IN THE DATES ESTABLISHED BY THE CALENDAR, CONSISTING OF: 1) A WRITTEN TEST INCLUDING THE TWO UNITS, CONSISTING OF. - 4 MATH QUESTIONS (COMBINATORIAL CALCULUS, ELEMENTS OF GEOMETRY, FUNCTION STUDY, INTEGRAL CALCULUS). - 30 THEORETICAL PHYSICS QUESTIONS (KINEMATICS AND DYNAMICS OF THE MATERIAL POINT, FLUIDODYNAMICS AND THERMODYNAMICS). YOU ARE ADMITTED TO THE ORAL TEST IF YOU HAVE SCORED AT LEAST 18/30 IN THE WRITTEN TESTS. ONLY THE USE OF SCIENTIFIC CALCULATOR IS ALLOWED DURING THE WRITTEN TESTS. 2) AN ORAL TEST RELATED TO THE MATHEMATICS MODULE, CONSISTING OF AT LEAST FOUR QUESTIONS. THE FINAL GRADE IS DEFINED BY CONSIDERING THE MARK OBTAINED IN THE WRITTEN TEST AND THE MARK OBTAINED IN THE ORAL TEST. HONORS WILL BE AWARDED TO THE STUDENT WHO, HAVING OBTAINED A GRADE OF 30/30, HAS SHOWN THE ABILITY TO LEARN AND DEVELOP SOLUTIONS INDEPENDENTLY.

Verification of learning

THE ACHIEVEMENT OF THE OBJECTIVES OF THE TEACHING IS CERTIFIED BY PASSING AN EXAMINATION WITH AN EVALUATION IN THIRTIETHS (MINIMUM 18/30) HELD IN THE DATES ESTABLISHED BY THE CALENDAR, CONSISTING OF:
1) A WRITTEN TEST INCLUDING THE TWO UNITS, CONSISTING OF.
- 4 MATH QUESTIONS (COMBINATORIAL CALCULUS, ELEMENTS OF GEOMETRY, FUNCTION STUDY, INTEGRAL CALCULUS).
- 30 THEORETICAL PHYSICS QUESTIONS (KINEMATICS AND DYNAMICS OF THE MATERIAL POINT, FLUIDODYNAMICS AND THERMODYNAMICS).
YOU ARE ADMITTED TO THE ORAL TEST IF YOU HAVE SCORED AT LEAST 18/30 IN THE WRITTEN TESTS.
ONLY THE USE OF SCIENTIFIC CALCULATOR IS ALLOWED DURING THE WRITTEN TESTS.
2) AN ORAL TEST RELATED TO THE MATHEMATICS MODULE, CONSISTING OF AT LEAST FOUR QUESTIONS.

THE FINAL GRADE IS DEFINED BY CONSIDERING THE MARK OBTAINED IN THE WRITTEN TEST AND THE MARK OBTAINED IN THE ORAL TEST. HONORS WILL BE AWARDED TO THE STUDENT WHO, HAVING OBTAINED A GRADE OF 30/30, HAS SHOWN THE ABILITY TO LEARN AND DEVELOP SOLUTIONS INDEPENDENTLY.

	Texts
	PHYSICS: - KESTEN, TUCK, FONDAMENTI DI FISICA, ZANICHELLI. - E. RAGOZZINO, M. GIORDANO, L. MILANO, FONDAMENTI DI FISICA, ED. EDISES, NAPOLI. MATHEMATICS: SIMON C. E L. BLUME - MATEMATICA GENERALE - EDIZIONI EGEA (2007). RUSSO F.A, TADDEO L., ELEMENTI DI ALGEBRA LINEARE ED ANALISI, ARACNE (2020) ADDITIONAL TEACHING MATERIAL: THE PROFESSOR PROVIDES SLIDES CONCERNING THE COURSE SUBJECTS.

	More Information
	REQUIRED ATTENDANCE. TEACHING LANGUAGE: ITALIAN

Lessons Timetable

BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2024-11-18]

Fausto ACERNESE | PHYSICS WITH ELEMENTS OF MATHEMATICS AND STATICS