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CALCULUS 2

CODE 61805
ACADEMIC YEAR 2021/2022
CREDITS
  • 9 cfu during the 3nd year of 8759 INFORMATICA (L-31) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/05
    LANGUAGE Italian
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 2° Semester
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The basic topics in calculus of severable variables are covered: numerical and Fourier series, differential calculus, study of maxima and minima of functions of two real variables.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    The students will become acquainted with the most important topics regarding functions of several variables and how they are used in practice. The only proof that are presented are those which show fundamental principles, and are free of technicalities.
     

    AIMS AND LEARNING OUTCOMES

    The course want to give the elementar notions on the numerical and power series, and the basic knowdlege on the differential and  for real and vectorial functions.

    At the end, students should be able to:  

    -correctly calculate elementar and standard calculations concerning numerical and power series, partial and directional derivates,              -determine maxima e minima for functions of several variables, 

    -find the Fourier series of periodic functions.

    PREREQUISITES

    Differential and Integral Calculus 1.

    TEACHING METHODS

    Both theory and exercises are presented by classroom lessons held at the blackboard. The semester is 12 weeks long with four hours of theory and two hours of exercsces each week. Some tutorial exercitation will be carried out during the semester. 

     

    Attendance is mandatory.

    SYLLABUS/CONTENT

    This course covers differential, integral and vector calculus for functions of more than one variable. Topics include:

    • Sequences and series of functions.
    • Fourier series.
    • Functions of several variables, continuity, differentiability, derivative.
    • Parametrization of curves.

    RECOMMENDED READING/BIBLIOGRAPHY

    Baronti, M., De Mari, F., van der Putten, R., Venturi, I., Calculus Problems,
    ISBN 978-3-319-15428-2, Springer-Verlag

    O. Caligaris - P. Oliva, Analisi Matematica I e II, ECIG
    J.P. Cecconi - G. Stampacchia, Analisi Matematica I e II, Liguori
    T. Zolezzi, Analisi matematica II, Dispense 
    Libri di esercizi svolti:
    J.P. Cecconi - L. Piccinini - G. Stampacchia, Esercizi di Analisi Matematica I e II, Liguori
    M. Chicco - F. Ferro, Esercizi svolti di Analisi Matematica II, ECIG
    S. Salsa - A. Squellati, Esercizi di Matematica - Calcolo infinitesimale, volume 2, Zanichelli

    TEACHERS AND EXAM BOARD

    Exam Board

    VERONICA UMANITA' (President)

    SANDRO BETTIN

    LESSONS

    LESSONS START

    The class will start according to the accademic calendar.

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    Written  test.

    ASSESSMENT METHODS

    The written examination consists in some exercises about the topics covered in this course. The duration of the test is two and half hours and it is possible to consult the notes and textbooks. 

    Exam schedule

    Date Time Location Type Notes
    06/06/2022 09:30 GENOVA Scritto 20-07-2021 aula 710
    04/07/2022 09:30 GENOVA Scritto 20-07-2021 aula 710
    27/07/2022 09:30 GENOVA Scritto 20-07-2021 aula 710
    14/09/2022 09:30 GENOVA Scritto 20-07-2021 aula 710
    12/01/2023 09:30 GENOVA Scritto 20-07-2021 aula 710
    02/02/2023 09:30 GENOVA Scritto 20-07-2021 aula 710

    FURTHER INFORMATION

    This teaching is planned for the curriculum: methodological.

    Registration for exams is required.