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MATHEMATICS

CODE 101117
ACADEMIC YEAR 2022/2023
CREDITS
  • 6 cfu during the 1st year of 10948 MARITIME SCIENCE AND TECHNOLOGY(L-28) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/05
    LANGUAGE English
    TEACHING LOCATION
  • GENOVA
  • SEMESTER 1° Semester
    MODULES This unit is a module of:
    TEACHING MATERIALS AULAWEB

    AIMS AND CONTENT

    LEARNING OUTCOMES

    The aim of this course is to provide a practical working tool for students where rigorous Calculus is needed. The main focus is on the study of functions of one real variable (continuity, derivative, maxima/minima, integration) and a brief introduction to multivariable calculus (oriented towards finding maxima/minima). The last part of the course is oriented towards basic ordinary differential equations (for example separation of variables, linear first-order, and constant coefficients ODE).

    AIMS AND LEARNING OUTCOMES

    The aim of this course is to provide a practical working tool for students where rigorous Calculus is needed. The main focus is on the study of functions of one real variable (continuity, derivative, maxima/minima, integration) and a brief introduction to multivariable calculus (oriented towards understanding the objects and finding maxima/minima). The last part of the course is oriented towards basic ordinary differential equations.

    TEACHING METHODS

    During the course theory and example classes will be given. During theory classes, definitions, theorems and main proofs will be given, with lots of examples and exercises. In the example classes, exercises will be discussed and solved with the class, aiming to a ameliorate the calculus skills of the students.

    SYLLABUS/CONTENT

    Numbers: natural, integer, rational, real numbers. Definitions and first examples of functions; continuity, derivability and theorems about them, study of maxima/minima, integration. Definitions and examples of functions of two variables: various representations. Continuity and differentiability for multivariable functions. Maxima/minima. Ordinary differential equations: separation of variables, constant and nonconstant linear differential equations

    RECOMMENDED READING/BIBLIOGRAPHY

    Paolo MARCELLINI, Carlo SBORDONE: Elementi di analisi matematica 1, editore Liguori, Napoli.

    Marco BARONTI, Filippo DE MARI, Robertus VAN DER PUTTEN, Irene VENTURI: Calculus problems. editore Springer.

    TEACHERS AND EXAM BOARD

    Exam Board

    LAURA BAZZOTTI (President)

    VALENTINA BERTELLA (President)

    LESSONS

    Class schedule

    All class schedules are posted on the EasyAcademy portal.

    EXAMS

    EXAM DESCRIPTION

    The exam will consist of a written part and an oral part. The oral part is accessible only if the score in the written test is higher or equal to 14.

    ASSESSMENT METHODS

    During the written test, the student will solve exercises mainly concerning limits, integrals, study of functions (possibly of more than one variable) and ordinary differential equations. During the oral examination student must highlight critical analysis, skills and ability to apply the concepts learnt to solve easy exercises, possibly some (guided) applications to the real world.

    Exam schedule

    Date Time Location Type Notes
    13/01/2023 09:00 GENOVA Scritto
    13/01/2023 15:00 GENOVA Scritto
    20/01/2023 09:00 GENOVA Orale
    20/01/2023 14:00 GENOVA Orale
    20/01/2023 14:00 GENOVA Orale
    03/02/2023 09:00 GENOVA Scritto
    03/02/2023 15:00 GENOVA Scritto
    10/02/2023 14:00 GENOVA Orale
    17/02/2023 09:00 GENOVA Orale
    01/06/2023 09:00 GENOVA Scritto
    09/06/2023 09:00 GENOVA Orale
    09/06/2023 15:00 GENOVA Scritto
    16/06/2023 14:00 GENOVA Orale
    16/06/2023 14:00 GENOVA Orale
    07/07/2023 15:00 GENOVA Scritto
    10/07/2023 09:00 GENOVA Scritto
    14/07/2023 09:00 GENOVA Orale
    14/07/2023 14:00 GENOVA Orale
    14/07/2023 14:00 GENOVA Orale
    04/09/2023 09:00 GENOVA Scritto
    08/09/2023 15:00 GENOVA Scritto
    14/09/2023 09:00 GENOVA Orale
    14/09/2023 14:00 GENOVA Orale