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MATHEMATICAL ANALYSIS

CODE 65909
ACADEMIC YEAR 2021/2022
CREDITS
  • 12 cfu during the 1st year of 10800 INGEGNERIA MECCANICA - ENERGIA E PRODUZIONE (L-9) - SAVONA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/05
    LANGUAGE Italian
    TEACHING LOCATION
  • SAVONA
  • SEMESTER Annual
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The course aims to develop the tools of Mathematical Analysis necessary to study and understand technical and scientific topics. These tools are introduced, developed and their main applications are illustrated.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    The course provides the main concepts in differential and integral calculus of a single real variable, and it teaches students rigorous and reflective thinking

    AIMS AND LEARNING OUTCOMES

    The course aims to introduce the tools of Mathematical Analysis and to provide examples of their application.

    PREREQUISITES

    A good knowledge of basic mathematics such as that provided by a High School,

    TEACHING METHODS

    The course consists of lectures and practice.

    SYLLABUS/CONTENT

    Real number system.  Elementary functions. Numerical sequences, recurrence sequences, fixed points.

    Differential calculus of  functions of one real variable. De l'Hopital rule and Taylor formula, Peano and  Lagrange remainder.

    Integral calculus:  Riemann theory, integration techniques, primitive functions, fundamental theorem of Calculus, improper integrals.

    Separable differential equations. Differential linear equations and systems of differential linear equations.

    RECOMMENDED READING/BIBLIOGRAPHY

    Course materials can be found at :    http://web.inge.unige.it/DidRes/Analisi/AMindex.html

    TEACHERS AND EXAM BOARD

    Exam Board

    OTTAVIO CALIGARIS (President)

    MAURIZIO SCHENONE

    CLAUDIO CARMELI (President Substitute)

    EDOARDO MAININI (President Substitute)

    DANILO PERCIVALE (President Substitute)

    LESSONS

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    Final examination  consists of  an oral exam.

    ASSESSMENT METHODS

    The student must know the methods and tools used in class. It is required to be able to use the tools studied to solve problems. The quality of the exposure, the correct use of the specialized vocabulary and the reasoning skills contribute to the final evaluati

    Exam schedule

    Date Time Location Type Notes
    18/02/2022 09:00 GENOVA Esame su appuntamento
    16/09/2022 09:00 GENOVA Esame su appuntamento

    FURTHER INFORMATION

    Pre-requisites :

    Good knowledge of high school mathematics.