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MATHEMATICAL ANALYSIS 2

CODE 60503
ACADEMIC YEAR 2021/2022
CREDITS
  • 12 cfu during the 2nd year of 8721 INGEGNERIA NAUTICA (L-9) - LA SPEZIA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/05
    LANGUAGE Italian
    TEACHING LOCATION
  • LA SPEZIA
  • SEMESTER 1° Semester
    PREREQUISITES
    Prerequisites
    You can take the exam for this unit if you passed the following exam(s):
    • INGEGNERIA E DESIGN PER LA NAUTICA 10134 (coorte 2020/2021)
    • MATHEMATICS + GEOMETRY 56973
    MODULES This unit is a module of:
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The course is directed to second year students which are familiar with basic notions in Calculus and Analytical Geometry.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    Provide basic concepts and more specific mathematical tools to better understand the contents of some nautical engineering courses .

    AIMS AND LEARNING OUTCOMES

    The course provides basic notions about Functions of two variables, integration of continuous functions and ODE’s in view of applications in Physics and Nautic Engineering.

    PREREQUISITES

    Basic notions in Calculus and Analytical Geometry.

     

    TEACHING METHODS

    60 hours of distance lectures until the end of sanitary emergency. Subsequently frontal lectures in a classroom

    SYLLABUS/CONTENT

    1) Functions of two variables. Limits and Continuity. Partial Derivatives. Higher order derivatives. Schwartz Theorem. The Chain rule. Differentiability and Differentials. Gradient and directional derivatives. Taylor’s formula .Implicit functions. Extreme values.

    2) Double integrals. Iteration of double integrals.Change of variables in double integrals. The surface area of a graph. Moments and centers of mass. Moments of inertia.

    3) Vector fields.Conservative fields. Line integrals of vector fields. Gauss-Green Formula

    RECOMMENDED READING/BIBLIOGRAPHY

     R.A. Adams, Calcolo Differenziale 1 e Calcolo Differenziale 2 Casa

    Editrice Ambrosiana.

    Notes & Exercises in  aulaweb ( a.a. 10/11 and the following)

    TEACHERS AND EXAM BOARD

    Exam Board

    DANILO PERCIVALE (President)

    STEFANO VIGNOLO (President Substitute)

    LESSONS

    EXAMS

    EXAM DESCRIPTION

    A written test is required which could be followed by another confirmation test whenever professor considers it necessary.

    ASSESSMENT METHODS

    Outcome of  written test and its possible confirmation.

    Exam schedule

    Date Time Location Type Notes
    19/01/2022 09:00 LA SPEZIA Scritto
    15/02/2022 09:00 LA SPEZIA Scritto
    09/06/2022 09:00 LA SPEZIA Scritto
    05/07/2022 09:00 LA SPEZIA Scritto
    05/09/2022 09:00 LA SPEZIA Scritto

    FURTHER INFORMATION

    Professor will receive students by appointment.