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## ELEMENTS OF MATHEMATIC

CODE 91034 2021/2022 9 cfu during the 1st year of 9916 SCIENZE AMBIENTALI E NATURALI (L-32) - GENOVA MAT/02 GENOVA Annual Prerequisites (for future units) This unit is a prerequisite for: Earth Sciences 8763 (coorte 2021/2022) FIELD GEOLOGY 1 80250 ENGINEERING GEOLOGY AND HYDROGEOLOGY 62222 ENGINERING GEOLOGY AND ENVIRONMENTAL LEGISLATION 62223 ELEMENTS OF GEORESOURCES 61663 INTRODUCTION TO GEOLOGICAL MAPS 80251 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2021/2022) ENVIRONMENTAL APPLIED PHYSICS 84044 MONITORING AND MANAGING ENVIRONMENTAL DATA 84093 DATA ANALYSIS LABORATORY 84092 ECOLOGICAL DATA ANALYSIS AND EXERCISES 84046 PHYSICS 104559 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)

ENRICO ALBERTO SIDERI

FABIO DI BENEDETTO (President Substitute)

## LESSONS

### Class schedule

ELEMENTS OF MATHEMATIC

## 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
17/01/2022 14:00 GENOVA Scritto + Orale
18/01/2022 14:30 GENOVA Scritto + Orale
04/02/2022 14:00 GENOVA Compitino La prova scritto inizia contemporaneamente in presenza e in remoto alle 14.30 e dura 2h e 10minuti. Alle 14:00 iniziano la disposizione nelle aule e le chiamate sul canale team.
15/06/2022 14:30 GENOVA Scritto + Orale
29/06/2022 14:30 GENOVA Scritto + Orale
13/07/2022 14:30 GENOVA Scritto + Orale
14/09/2022 14:30 GENOVA Scritto + Orale