Chiara NICOTERA | MATHEMATICS
Chiara NICOTERA MATHEMATICS
cod. 0760200001
MATHEMATICS
| 0760200001 | |
| DIPARTIMENTO DI FARMACIA | |
| EQF7 | |
| PHARMACEUTICAL CHEMISTRY AND TECHNOLOGY | |
| 2017/2018 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2016 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| MAT/07 | 5 | 40 | LESSONS |
| Objectives | |
|---|---|
| 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. |
| Prerequisites | |
|---|---|
| THE KNOWLEDGE OF BASIC MATHEMATICAL TOPICS COVERED IN HIGH SCHOOL COURSES IS REQUIRED. |
| Contents | |
|---|---|
| ARITHMETIC. NUMBERS, OPERATIONS AND PROPERTIES. SCIENTIFIC NOTATION. APPROXIMATIONS. EQUALITIES AND INEQUALITIES. PROPAGATION OF ERRORS. PERCENTAGES. INTUITIVE SET THEORY. COMBINATORIAL CALCULUS. FUNCTIONS. FUNCTION DEFINITION, DOMAIN, CODOMAIN, IMAGE. IMAGE AND INVERSE IMAGE OF A SUBSET. INJECTIVE, SURJECTIVE,AND BIJECTIVE FUNCTIONS. INVERSE OF A BIJECTIVE FUNCTION. COMPOSITE FUNCTIONS. MONOTONE FUNCTIONS. MAXIMA AND MINIMA. GRAPH OF A FUNCTION. CARTESIAN COORDINATES AND CARTESIAN DIAGRAMS. LINEAR FUNCTIONS. QUADRATIC FUNCTIONS. POLYNOMIAL FUNCTIONS. METHOD OF DIFFERENCES. EXPONENTIAL FUNCTIONS. LOGARITHMIC FUNCTIONS. TRIGONOMETRIC FUNCTIONS. SINUSOIDAL FUNCTIONS: AMPLITUDE, AVERAGE VALUE, PERIOD, FREQUENCY, ANGULAR FREQUENCY. SUCCESSIONS. DEFINITION OF THE EULER NUMBER. DIFFERENTIAL CALCULUS DERIVATIVE. STRAIGHT TANGENT TO THE GRAPH OF A FUNCTION. DIFFERENTIABLE FUNCTIONS. MAIN RULES OF DERIVATION. CRITICAL POINTS, MAXIMA AND MINIMA OF A FUNCTION. INFINITESIMAL AND COMPARISON BETWEEN INFINITESIMAL. DEVELOPMENT IN A TAYLOR SERIES. INTERPOLATION TECHNIQUES. MEAN, MEDIAN, MODE. VARIANCE, STANDARD DEVIATION, COEFFICIENT OF VARIATION. THE METHOD OF LEAST SQUARES. REGRESSION STRAIGHT. PEARSON'S CORRELATION COEFFICIENT. INTERPOLATION OF EXPONENTIAL FUNCTIONS. INTERPOLATION OF POWER FUNCTIONS. MATRICES. SYSTEMS OF LINEAR EQUATIONS |
| Teaching Methods | |
|---|---|
| THIS COURSE CONSISTS ON THEORETICAL LESSONS AND EXERCITATIVE LESSONS. DURING THEORETICAL LESSONS STUDENTS LEARN BASIC NOTIONS. DURING EXERCITATIVE LESSONS STUDENT LEARN HOW THE GAINED THEORETICAL KNOWLEDGE MAY BE USED TO SOLVE SIMPLE PROBLEMS. |
| Verification of learning | |
|---|---|
| THE EXAM CONSISTS OF A WRITTEN TEST, AFTER WHICH STUDENTS CAN GO TO AN ORAL EXAMINATION. WILL BE EVALUATED THE KNOWLEDGE OF THE TOPICS OF THE THEORY CLASSES, BUT ALSO THE ABILITY TO APPLY THEM TO SOLVE PROBLEMS OF ELEMENTARY TYPE. |
| Texts | |
|---|---|
| - M. ABATE, MATEMATICA E STATISTICA. LE BASI PER LE SCIENZE DELLA VITA. MCGRAW-HILL 2013 - D. BENEDETTO, M. DEGLI ESPOSTI, C. MAFFEI, MATEMATICA PER LE SCIENZE DELLA VITA. CASA EDITRICE AMBROSIANA 2016 |
| More Information | |
|---|---|
| CNICOTERA@UNISA.IT |
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