ELEMENTS OF MATHEMATIC

iten
Code
91034
ACADEMIC YEAR
2017/2018
CREDITS
9 credits during the 1st year of 9916 ENVIRONMENTAL AND NATURAL SCIENCES (L-32) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/02
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (ENVIRONMENTAL AND NATURAL SCIENCES)
semester
Annual
Prerequisites
Prerequisites (for future units)
This unit is a prerequisite for:
  • Earth Sciences 8763 (coorte 2017/2018)
  • FIELD GEOLOGY AND GEOLOGICAL MAPS – MOD. 2 80251
  • ELEMENTS OF GEORESOURCES 61663
  • GEOGRAPHIC INFORMATION SYSTEMS 65849
  • FIELD GEOLOGY AND GEOLOGICAL MAPS – MOD. 1 80250
  • ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION 62222
  • ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION (2° MOD.) 62223
  • APPLIED GEOPHYSICS 61664
  • ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2017/2018)
  • MONITORING AND MANAGING ENVIRONMENTAL DATA 84093
  • ENVIRONMENTAL APPLIED PHYSICS 84044
  • DATA ANALYSIS LABORATORY 84092
  • PHYSICS 72718

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

Office hours: According to the personal request, during all the academic year, upon mail or telephonic agreement.

Exam Board

ANNA MARIA BIGATTI (President)

ENRICO ALBERTO SIDERI

GRAZIA TAMONE

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
23/01/2018 09:30 GENOVA Scritto + Orale
13/02/2018 09:30 GENOVA Compitino Per esigenze di aula, il compito sara' al pomeriggio alle 14.00. Questo e' lo scritto per superamento OFA: il programma e' quello svolto fino a gennaio 2018 (vedere registro su aulaweb 17/18). Possono partecipare tutti gli studenti, vecchi e nuovi. Vale SOLO per il superamento degli OFA: non vale ai fini dell'esame di Elementi di Matematica.
12/06/2018 09:30 GENOVA Scritto + Orale
03/07/2018 09:30 GENOVA Scritto + Orale Questo scritto sara' al pomeriggio alle 14.30 (non e' possibile cambiare l'orario "ufficiale").
17/07/2018 09:30 GENOVA Scritto + Orale Questo scritto sara' al pomeriggio alle 14.30 (non e' possibile cambiare l'orario "ufficiale").
11/09/2018 09:30 GENOVA Scritto + Orale Lo scritto iniziera' alle 14.30 (l'orario precedentemente impostato, 9.30, non e' tecnicamente modificabile)