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MATHEMATICAL ANALYSIS

CODE 105938
ACADEMIC YEAR 2021/2022
CREDITS
  • 12 cfu during the 1st year of 9274 DESIGN DEL PRODOTTO E DELLA NAUTICA(L-4) - LA SPEZIA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/05
    LANGUAGE Italian
    TEACHING LOCATION
  • LA SPEZIA
  • SEMESTER 1° Semester
    MODULES This unit is a module of:
    TEACHING MATERIALS AULAWEB

    AIMS AND CONTENT

    LEARNING OUTCOMES

    This course aims to provide students with the basic knowledge and tools in preparation for the other courses, which require mathematical notions and methods.

    AIMS AND LEARNING OUTCOMES

    By the end of this course, students will be able to study the graph of the functions of one variable, as well as know the properties of the integrals of the functions of one variable.
     

     

    TEACHING METHODS

    52 hours of distance lectures until the end of sanitary emergency

    SYLLABUS/CONTENT

    1) Real numbers and the real line. Cartesian coordinates in the plane. Functions and their graphs. Limits and continuity. Theorems about continuous functions. The 

    derivative. Differentiation rules: product, reciprocal, quotient and chain rule. Monotone functions: the inverse function theorem. Derivatives of some elementary functions. Theorems about differentiable functions: Rolle, Lagrange, Cauchy. L’Hopital’s rule. Higher order derivatives. Extreme values, convexity and inflection. Sketching the graph of a function.

    2) Integration. Sums and sigma notation. Areas as limits of sums. The definite integral. Properties of the definite integral. The fundamental Theorem of Calculus. Changes of variable: the method of substitution. Areas of plane regions. Integration by parts. Integrals of rational functions.

    RECOMMENDED READING/BIBLIOGRAPHY

    R.A. Adams, Calcolo Differenziale 1 Casa

    Editrice Ambrosiana.

    TEACHERS AND EXAM BOARD

    Exam Board

    DANILO PERCIVALE (President)

    VALENTINA BERTELLA

    SERGIO DE MICHELI

    MARIA VIRGINIA CATALISANO (President Substitute)

    LESSONS

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    Exam schedule

    Date Time Location Type Notes
    10/01/2022 09:00 LA SPEZIA Scritto LA PROVA DI ANALISI MATEMATICA 1 DEL 8/6 E' POSTICIPATA AL 9/6 ORE 9
    24/01/2022 09:15 GENOVA Scritto
    07/02/2022 14:30 LA SPEZIA Scritto
    08/06/2022 09:00 LA SPEZIA Scritto LA PROVA DI ANALISI MATEMATICA 1 DEL 8/6 E' POSTICIPATA AL 9/6 ORE 9
    08/07/2022 09:00 LA SPEZIA Scritto LA PROVA DI ANALISI MATEMATICA 1 DEL 8/6 E' POSTICIPATA AL 9/6 ORE 9
    07/09/2022 09:00 LA SPEZIA Scritto