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MATHEMATICAL ANALISYS

CODE 104810
ACADEMIC YEAR 2022/2023
CREDITS
  • 12 cfu during the 1st year of 8719 INGEGNERIA INFORMATICA (L-8) - GENOVA
  • 12 cfu during the 1st year of 9273 INGEGNERIA ELETTRONICA E TECNOLOGIE DELL'INFORMAZIONE(L-8) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/05
    LANGUAGE Italian
    TEACHING LOCATION
  • GENOVA
  • SEMESTER Annual
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The course is given by lectures on the blackboard (or at distance via TEAMS if required). The exam involves a written test and an oral test; the type of the written part is depending on whether the exam is allowed to be in presence (quiz + exercises) or online (only quiz). There will be the possibility of intermediate tests.

    AIMS AND CONTENT

    LEARNING OUTCOMES

    The purpose is to acquire the knowledge of concepts and methods of calculus concerning numerical sequences and series, differential and integral calculus in one variable, ordinary differential equations.

    AIMS AND LEARNING OUTCOMES

    At the end of the course the student is required to know the concepts (definitions, theorems) and to apply them in practical problems. In the first part this concerns limits (of sequences and functions), continuity, differentiability, Taylor's formula and possibly sequences and series of functions.  In the second part the learning outcomes concern methods of integration, differential calculus for several variables functions and solution of simple differential equations. 

    PREREQUISITES

    Numerical sets, equations and inequalities, analytical geometry in the plane, goniometry and trigonometry, elements of set theory.

    TEACHING METHODS

    The teching method is via lectures on the blackboard, if presence in rooms is allowed. Otherwise lectures are given at distance.

    SYLLABUS/CONTENT

    Numerical sets. Induction. Differential calculus. Taylor's formula. Applications of study of functions (minima/maxima and zeroes of nonlinear functions). 

    Integration. Sequences and series of functions. Differential calculus of several variables functions. Ordinary differential equations (separable variables, constant coefficients linear differential equations, and particular ones).

    RECOMMENDED READING/BIBLIOGRAPHY

    Bramanti, Pagani, Salsa - Analisi Matematica 1

    Baronti, De Mari, van der Putten, Venturi - Calculus Problems

    TEACHERS AND EXAM BOARD

    LESSONS

    LESSONS START

    September 2022

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    The exam involves a written test and an oral test; the type of the written part is depending on whether the exam is allowed to be in presence (quiz + exercises) or online (only quiz). There will be the possibility of intermediate tests.

    Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.
     

    ASSESSMENT METHODS

    Questions during the exam involve both theoretical aspects (theorems, formal developments) and applications via exercises. 

    Exam schedule

    Date Time Location Type Notes