2. Professors
  3. ESPOSITO Luca
  4. Teaching

MATHEMATICAL ANALYSIS I / MATHEMATICAL ANALYSIS II

Luca ESPOSITO MATHEMATICAL ANALYSIS I / MATHEMATICAL ANALYSIS II

0512300001
DEPARTMENT OF MATHEMATICS
EQF6
MATHEMATICS
2023/2024

OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2018
FULL ACADEMIC YEAR
CFUHOURSACTIVITY
1ANALISI MATEMATICA I
864LESSONS
2 ANALISI MATEMATICA II
864LESSONS


LOREDANA CASO21 T Curriculum
LUCA ESPOSITO2 Curriculum
Objectives
THE COURSE OF "ANALISI MATEMATICA I/ANALISI MATEMATICA II" IS ESSENTIALLY DEVOTED TO THE STUDY OF REAL FUNCTIONS OF A REAL VARIABLE, TO THE THEORY OF LIMITS AND TO THE DIFFERENTIAL AND INTEGRAL CALCULUS FOR SUCH FUNCTIONS, AND TO THE STUDY OF NUMERICAL SERIES. THE AIM OF THE COURSE IS THE ACQUISITION OF RESULTS, PROOFS AND CALCULATION TECHNIQUES.
Prerequisites
BASIC KNOWLEDGE ACQUIRED THROUGH HIGH SCHOOL COURSES. IN PARTICULAR, KNOWLEDGE OF ELEMENTARY ALGEBRA, TRIGONOMETRY AND FIRST AND SECOND ORDER INEQUALITIES IS REQUIRED.
Contents
1. ALGEBRAIC STRUCTURES: DEFINITIONS AND EXAMPLES.
2. REAL NUMBERS.
3. REAL FUNCTIONS.
4. COMPLEX NUMBERS.
5. LIMITS OF SEQUENCES.
6. LIMITS OF FUNCTIONS AND CONTINUOUS FUNCTIONS.
7. MORE ON LIMITS.
8. DERIVATIVES.
9. APPLICATION OF DIFFERENTIAL CALCULUS. GRAPHS OF FUNCTIONS.
10. RIEMANN INTEGRATION.
11. INTEGRAL CALCULUS
12. DIFFERENTIAL OF A FUNCTION. TAYLOR'S FORMULA.
13. NUMERICAL SERIES.
Teaching Methods
•THEORETICAL LESSONS 9 CFU
•EXERCISES 7CFU
Verification of learning
THE EXAMINATION TEST IS FINALIZED TO ASSESS THE KNOWLEDGE AND CONFIDENTIAL CAPACITY OF THE CONCEPTS SUBMITTED IN LESSON AND THE CAPACITY TO APPLY THESE KNOWLEDGE.
THE EXAMINATION TEST IS PROVIDED IN A WRITTEN TEST FOLLOWING AN ORAL TEST. TO BE SUBMITTED TO SUPPORT THE ORAL TEST, THE STUDENT MUST HAVE SUFFICIENT EVALUATION IN THE WRITTEN TEST. WRITING TEST IS 'EXERCISING TYPE', WHILE THE ORAL TEST IS 'THEORETICAL TYPE'. THE EXAMINATION MAY BE REPLACED BY TWO OR MORE INTERMEDIATE TESTS OF THE SAME TYPE.
Texts
C.PAGANI- S.SALSA, ANALISI MATEMATICA 1, ZANICHELLI.
M. TROISI, ANALISI MATEMATICA I, LIGUORI EDITORE.
P. MARCELLINI - C. SBORDONE, ANALISI MATEMATICA UNO, LIGUORI EDITORE.
P. MARCELLINI - C. SBORDONE, ESERCITAZIONI DI MATEMATICA I, LIGUORI EDITORE.
A. ALVINO - L. CARBONE - G. TROMBETTI, ESERCITAZIONI DI MATEMATICA I, LIGUORI EDITORE.
D. GRECO - G. STAMPACCHIA, ESERCITAZIONI DI MATEMATICA, VOL. I, LIGUORI EDITORE.
More Information
LECTURER'S E-MAIL ADDRESS: LORCASO@UNISA.IT
WEB PAGE: HTTPS://DOCENTI.UNISA.IT/003260/HOME
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