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ELEMENTS OF MATHEMATIC

CODE 91034
ACADEMIC YEAR 2020/2021
CREDITS 9 credits during the 1st year of 9916 ENVIRONMENTAL AND NATURAL SCIENCES (L-32) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR MAT/02
TEACHING LOCATION GENOVA (ENVIRONMENTAL AND NATURAL SCIENCES)
SEMESTER Annual
PREREQUISITES
Prerequisites (for future units)
This unit is a prerequisite for:
  • Earth Sciences 8763 (coorte 2020/2021)
  • ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION 62223
  • GEOLOGICAL MAPPING 80250
  • ELEMENTS OF GEORESOURCES 61663
  • ENGINERING GEOLOGY AND HYDROGEOLOGY 62222
  • INTRODUCTION TO GEOLOGICAL MAPS 80251
  • ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2020/2021)
  • ENVIRONMENTAL APPLIED PHYSICS 84044
  • PHYSICS 104559
  • DATA ANALYSIS LABORATORY 84092
  • MONITORING AND MANAGING ENVIRONMENTAL DATA 84093
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

ENRICO ALBERTO SIDERI

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
19/01/2021 14:00 GENOVA Scritto + Orale
09/02/2021 14:00 GENOVA Compitino
22/06/2021 14:00 GENOVA Scritto + Orale
06/07/2021 14:00 GENOVA Scritto + Orale
20/07/2021 14:00 GENOVA Scritto + Orale
14/09/2021 14:00 GENOVA Scritto + Orale