Francesco CIARDIELLO | OBBLIGHI FORMATIVI AGGIUNTIVI
Francesco CIARDIELLO OBBLIGHI FORMATIVI AGGIUNTIVI
cod. OFA0212801
OBBLIGHI FORMATIVI AGGIUNTIVI
| OFA0212801 | |
| DEPARTMENT OF ECONOMICS AND STATISTICS | |
| EQF6 | |
| STATISTICS FOR BIG DATA | |
| 2024/2025 |
| YEAR OF COURSE | |
| YEAR OF DIDACTIC SYSTEM 2018 | |
| AUTUMN SEMESTER |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| NN | 0 | 15 | LESSONS |
| Objectives | |
|---|---|
| KNOWLEDGE AND LEARNING SKILLS: THE STUDENTS WILL ACQUIRE THE FUNDAMENTALS OF NUMBER SETS, ELEMENTARY ALGEBRA, EQUATIONS, INEQUALITIES, SETS, ELEMENTS OF LOGIC, RELATIONSHIPS AND FUNCTIONS, AND GEOMETRY IN THE PLANE. APPLYING KNOWLEDGE AND UNDERSTANDING: THE STUDENTS WILL HAVE TO BE ABLE TO USE THE MATHEMATICAL TOOLS LEARNED TO APPROACH THE ISSUES OF THEIR STUDY COURSE. |
| Prerequisites | |
|---|---|
| KNOWLEDGE OF BASIC ALGEBRA AND REAL NUMBERS. INDEED, THE STUDENT MUST HAVE THE CAPABILITY OF UNDERSTANDING THE ELEMENTARY NOTION SUCH ADDITION AND MULTIPLICATION. |
| Contents | |
|---|---|
| NUMBER SETS, ARITHMETIC. NATURAL NUMBERS, RELATIVE INTEGERS, RATIONAL NUMBERS, REAL NUMBERS. TWO-WAY CORRESPONDENCE BETWEEN POINTS ON A LINE AND REAL NUMBERS. INEQUALITIES, ABSOLUTE VALUE, POWERS AND ROOTS, NUMBER BASES. ELEMENTARY ALGEBRA, EQUATIONS, INEQUALITIES. LITERAL CALCULUS. POLYNOMIALS. BINOMIAL IDENTITIES. RATIONAL EXPRESSIONS. IDENTITIES AND EQUATIONS. EQUATIONS OF THE SECOND DEGREE. ALGEBRAIC INEQUALITIES OF FIRST AND SECOND DEGREE. INEQUALITIES WITH FRATERNAL EXPRESSIONS. SETS, ELEMENTS OF LOGIC, SET RELATIONS AND FUNCTIONS. ELEMENTARY LANGUAGE OF SETS: BELONGING, INCLUSION, INTERSECTION, UNION, COMPLEMENTARY, EMPTY SET. CARTESIAN PRODUCT. LOGICAL CONNECTIVES: NEGATION, CONJUNCTION, DISJUNCTION. IMPLICATION, LOGICALLY EQUIVALENT PROPOSITIONS, TRUTH TABLES. MEANING OF TERMS: AXIOM, THEOREM, PROOF, PROOF BY ABSURDITY. QUANTIFIERS "FOR EVERY" AND "EXISTS". RELATIONS, REFLEXIVE, SYMMETRIC, TRANSITIVE PROPERTIES; EQUIVALENCE RELATIONS. GEOMETRY. CARTESIAN PLANE, CARTESIAN COORDINATES, DISTANCE BETWEEN TWO POINTS, EQUATIONS OF LINES AND CIRCUMFERENCES, AND OF SIMPLE GEOMETRIC PLACES. NUMERICAL FUNCTIONS. SOME ELEMENTARY FUNCTIONS AND THEIR GRAPHS: POLYNOMIALS OF FIRST AND SECOND DEGREE, POWERS, LOGARITHM, EXPONENTIAL. |
| Teaching Methods | |
|---|---|
| LESSONS, INDIVIDUAL WORK, WORKING TEAMS, EXERCISES, DISCUSSIONS IN THE CLASSROOM. |
| Verification of learning | |
|---|---|
| BY THE END OF THE MODULE THE STUDENT NEEDS TO DO A FORMAL EXAMINATION. THE EXAM CONSISTS OF A WRITTEN TEST IN WHICH STUDENTS SHOULD BE ABLE TO SOLVE SOME EXERCISES. STUDENT SHOULD BE ABLE TO DEMONSTRATE AN UNDERSTANDING OF BASIC PROPERTIES, AND TO DEVELOP ANALYTICAL AND CRITICAL ABILITY REGARDING THE TOOLS AND THE DEVELOPED RULES. APPROVED POCKET CALCULATORS ARE ALLOWED. IT IS NOT POSSIBLE TO USE BOOKS, PAPERS, PERSONAL COMPUTERS OR SMARTPHONES. THE TIME REQUIRED FOR THE WRITTEN TEST GOES FROM 30 MINUTES UP TO 1 H. |
| Texts | |
|---|---|
| CAMBINI, ALBERTO, AND LAURA MARTEIN. PREREQUISITI DI MATEMATICA GENERALE. CEDAM, 2002. |
| More Information | |
|---|---|
| STUDENTS' ATTENDANCE IS RECOMMENDED, BUT NON-COMPULSORY. THE STUDENTS CAN INTERACT TOGETHER WITH THE LECTURER IN ORDER TO CLARIFY BOTH THEORETICAL AND PRACTICAL TOOLS AND PROBLEMS. STUDENTS MIGHT MAKE SOME TEST SIMULATIONS FOR THE FINAL EXAM. |
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