Marcella NIGLIO | MATHEMATICS AND STATISTICS
Marcella NIGLIO MATHEMATICS AND STATISTICS
cod. 0712200001
MATHEMATICS AND STATISTICS
| 0712200001 | |
| DIPARTIMENTO DI FARMACIA | |
| EQF6 | |
| GESTIONE E VALORIZZAZIONE DELLE RISORSE AGRARIE E DELLE AREE PROTETTE | |
| 2016/2017 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2016 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | ||
|---|---|---|---|---|---|
| ELEMENTI DI MATEMATICA MODULO DI MATEMATICA E STATISTICA | |||||
| MAT/04 | 3 | 21 | LESSONS | ||
| STATISTICA MODULO DI MATEMATICA E STATISTICA | |||||
| SECS-S/01 | 6 | 42 | LESSONS | ||
| Objectives | |
|---|---|
| THE FIRST PART OF THE COURSE AIMS TO PROVIDE THE ACQUISITION OF BASIC TOOLS OF MATHEMATICS AND GEOMETRY WHICH ALLOW THE PRODUCTION OF MATHEMATICAL PROBLEMS AND THE STUDY OF APPLICATION MODELS BASED ON MATHEMATICAL STRUCTURES. THE SECOND PART OF THE COURSE AIMS TO PRESENT STATISTICAL TOOLS FOR THE DATA ANALYSIS, PROBABILITY AND STATISTICAL INFERENCE. |
| Prerequisites | |
|---|---|
| IT REQUIRES SIMPLE KNOWLEDGE OF THE BASIC CONCEPTS OF MATHEMATICS. |
| Contents | |
|---|---|
| PART I: MATRIX AND DETERMINANTS. EQUATION SYSTEMS LINEAR, CRAMER AND ROUCHE-CAPELLI THEOREM. REAL NUMBERS. PRIMARY FUNCTIONS. FIELD OF EXISTENCE AND GRAPHICS OF REAL VARIABLE. THE FUNCTIONS POWER N-MA, ROOT N-MA, POWER WITH REAL EXPONENT, EXPONENTIAL, LOGARITHMIC, TRIGONOMETRIC (SINE, COSINE, TANGENT AND COTANGENT). OPERATIONS ON LIMITS AND THEIR PROPERTIES. PROPERTY ON CONTINUOUS FUNCTIONS. DISCONTINUITY. INCREASING AND DECREASING FUNCTIONS. DERIVATIVES AND DIFFERENTIALS OF THE FUNCTIONS OF A VARIABLE. DERIVATIVE OF ELEMENTARY FUNCTIONS. DERIVATIVES OF COMPOSITE FUNCTIONS. FORMULA AND RULES OF DERIVATION. THEOREMS : ROLLE, LAGRANGE AND OF DE L'HOSPITAL. ASYMOPOTES. MAXIMUM, MINIMUM AND INFLECTIONS. STUDY OF A FUNCTION GRAPH. THEOREMS, RULES AND PROPERTY OF INTEGRATION. INDEFINITE INTEGRAL IMMEDIATE. PART II: DATA ANALYSIS: STATISTICAL SURVEY,DATA ANALYSIS IN UNIVARIATE AND BIVARIATE DOMAIN; GRAPHICAL REPRESENTATIONS; LOCATION, VARIABILITY AND SHAPE STATISTICAL INDICES; DEPENDENCE BETWEEN TWO CHARACTERS. PART II, PROBABILITY: INTRODUCTION TO ELEMENTARY PROBABILITY THEORY, RANDOM VARIABLES (CONTINUOUS AND DISCRETE), BASIC PROBABILITY MODELS. PART III. INFERENCE: SAMPLING THEORY; PARAMETRIC ESTIMATION, HYPOTHESIS TESTING, CONFIDENCE INTERVALS, LINEAR MODELS (ESTIMATION AND TESTING); ANALYSIS OF VARIANCE. |
| Teaching Methods | |
|---|---|
| CLASSES AND TUTORIALS |
| Verification of learning | |
|---|---|
| WRITTEN AND ORAL FINAL TEST |
| Texts | |
|---|---|
| PART I: TOM M.APOSTOL, CALCULUS I,1975 JOHN WILEY & SONS, INC. PART II: CASELLA G. AND BERGER R.L., STATISTICAL INFERENCE, DUXBURY ADVANCED SERIES. |
| More Information | |
|---|---|
| FRANCESCO SAVERIO TORTORIELLO (PART 1) HTTP://WWW.UNISA.IT/DOCENTI/FRANCESCOSAVERIOTORTORIELLO/INDEX MARCELLA NIGLIO (PART 2) DOCENTI.UNISA.IT/MARCELLA.NIGLIO |
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