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ELEMENTS OF MATHEMATIC

CODE 91034
ACADEMIC YEAR 2022/2023
CREDITS
  • 9 cfu during the 1st year of 9916 SCIENZE AMBIENTALI E NATURALI (L-32) - GENOVA
  • SCIENTIFIC DISCIPLINARY SECTOR MAT/02
    TEACHING LOCATION
  • GENOVA
  • SEMESTER Annual
    PREREQUISITES
    Prerequisites (for future units)
    This unit is a prerequisite for:
    • Earth Sciences 8763 (coorte 2022/2023)
    • ENGINERING GEOLOGY AND HYDROGEOLOGY 62222
    • INTRODUCTION TO GEOLOGICAL MAPS 80251
    • FIELD GEOLOGY 1 80250
    • ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION 62223
    • ELEMENTS OF GEORESOURCES 61663
    • ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023)
    • PHYSICS 104559
    • ENVIRONMENTAL APPLIED PHYSICS 84044
    • INFORMATIC SKILLS 84031
    • MONITORING AND MANAGING ENVIRONMENTAL DATA 84093
    • DATA ANALYSIS LABORATORY 84092
    • ECOLOGICAL DATA ANALYSIS AND EXERCISES 84046
    TEACHING MATERIALS AULAWEB

    OVERVIEW

    The aim of this course is to establish the essential mathematical foundations necessary for the language of science.
    More specifically, this course presents the basic concepts and methods of linear algebra, geometry and calculus.

    AIMS AND CONTENT

    SYLLABUS/CONTENT

    • Overview of elementary set theory.
    • Brief introduction to vectors and analytic geometry in 2 and 3 dimensions.
    • Overview of complex numbers and polynomials (divisibility and roots).
    • Functions. Graphs of elementary functions. Function composition. Inverse functions.
    • Concept of limit. Continuous functions.
    • Concept of the derivative, and rules for finding the derivative. Higher derivatives and their geometrical interpretation. Real-valued functions and their graphs.
    • Definite integrals and the area of planar regions. Brief introduction to differential equations. The indefinite integral of a function. Integrals of elementary functions.
    • Matrices and their operations; determinants and matrix inverse.
    • Linear systems; gaussian reduction. Overview of numerical stability.
    • Overview of combinatorics.

    TEACHERS AND EXAM BOARD

    Exam Board

    ANNA MARIA BIGATTI (President)

    FABIO DI BENEDETTO (President Substitute)

    LESSONS

    EXAMS

    EXAM DESCRIPTION

    Written and oral exam

    ASSESSMENT METHODS

    Detailed description on:
    http://www.dima.unige.it/~bigatti/ElemMat/modalita-esame.html

    Exam schedule

    Date Time Location Type Notes