First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
Course unit
SS10104029, A.A. 2013/14

Information concerning the students who enrolled in A.Y. 2013/14

Information on the course unit
Degree course First cycle degree in
SS1450, Degree course structure A.Y. 2009/10, A.Y. 2013/14
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Degree course track Common track
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination CALCULUS 2
Website of the academic structure
Department of reference Department of Statistical Sciences
Mandatory attendance No
Language of instruction Italian
Single Course unit The Course unit CANNOT be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge DAVIDE VITTONE MAT/05

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/05 Mathematical Analysis 6.0

Course unit organization
Period Second trimester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 6.0 54 96.0 No turn

Start of activities 08/01/2014
End of activities 15/03/2014
Show course schedule 2015/16 Reg.2009 weekly timetable
2015/16 Reg.2009 single teaching timetable

Examination board
Board From To Members of the board
5 a.a.2014/2015 01/04/2014 30/09/2019 MANNUCCI PAOLA (Presidente)
CESARONI ANNALISA (Membro Effettivo)
PARMEGGIANI GEMMA (Membro Effettivo)
TREU GIULIA (Membro Effettivo)
4 a.a.2013/2014 01/10/2013 30/03/2015 VITTONE DAVIDE (Presidente)
GIACOBBE ANDREA (Membro Effettivo)
TREU GIULIA (Membro Effettivo)

Prerequisites: The program of Istituzioni di Analisi Matematica 1.
Target skills and knowledge: Istituzioni di Analisi Matematica 2 provides tools, like integral calculus, number series and functions of two variables, that are used for courses on Probability and Statistics.
Examination methods: The examination is written; the commission may require an oral examination in case the written one has not been sufficient for a clear grading.
Assessment criteria: A major role in the evaluation of the written examination will be played by the accuracy in the used methods and the clarity of exposition.
Course unit contents: Contents:
- Definite and indefinite integrals; primitive functions; Fundamental Theorem of Calculus; integration by parts and by substitution; integration techniques. Generalized integrals and convergence criteria.
- Numeric series: definition and properties. Geometric, harmonic and generalized harmonic series. Convergence criteria. Absolute convergence. Alternate series and Leibnitz criterion.
- Functions of two variables: basic notions on topology, limits and continuity. Partial derivatives, Schwarz theorem. Local and global minima/maxima, with or without constraints. Lagrange multipliers.
Planned learning activities and teaching methods: Lectures with frequent exercises sessions.
Additional notes about suggested reading: A weekly set of exercises will be supplied.
Textbooks (and optional supplementary readings)
  • M. Bertsch, R. Dal Passo e L. Giacomelli, Analisi Matematica. --: McGraw-Hill, --. Libro di teoria Cerca nel catalogo
  • P. Marcellini e C. Sbordone, Esercizi di Matematica. --: Liguori, --. Possibile libro di esercizi. La parte di interesse per il corso รจ contenuta nel tomo 4 del volume I e nei tomi 1 e 3 del volume II Cerca nel catalogo
  • G. Padovan, Esercizi di Analisi Matematica - Calcolo integrale. Padova: Libreria Rinoceronte, --. Possibile libro per esercizi su integrali. Cerca nel catalogo
  • G. Padovan, Esercizi di Analisi Matematica - Calcolo differenziale,. Padova: Libreria Rinoceronte, --. Possibile libro per esercizi su serie e funzioni di due variabili Cerca nel catalogo