# ELEMENTI DI MATEMATICA

_
iten
Code
91034
ACADEMIC YEAR
2016/2017
CREDITS
9 credits during the 1st year of 9916 ENVIRONMENTAL AND NATURAL SCIENCES (L-32) GENOVA

9 credits during the 1st year of 8763 Earth Sciences (L-34) GENOVA

SCIENTIFIC DISCIPLINARY SECTOR
MAT/02
LANGUAGE
Italiano
TEACHING LOCATION
GENOVA (ENVIRONMENTAL AND NATURAL SCIENCES)
semester
Annual
Prerequisites

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)

GRAZIA TAMONE

ENRICO ALBERTO SIDERI

## LESSONS

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

Vedi anche:

ELEMENTI DI MATEMATICA

## EXAMS

Exam description

Written and oral exam

Assessment methods

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