CODE 91034 2022/2023 9 cfu anno 1 SCIENZE AMBIENTALI E NATURALI 9916 (L-32) - GENOVA MAT/02 GENOVA Annual Questo insegnamento è propedeutico per gli insegnamenti: Earth Sciences 8763 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 Earth Sciences 8763 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 Earth Sciences 8763 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 Earth Sciences 8763 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 Earth Sciences 8763 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 ENVIRONMENTAL AND NATURAL SCIENCES 9916 (coorte 2022/2023) ELEMENTS OF MATHEMATIC 91034 2022 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

### 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

Data Ora Luogo Degree type Note
17/01/2023 14:00 GENOVA Scritto + Orale Solo per studenti degli scorsi anni
24/02/2023 14:00 GENOVA Compitino
20/06/2023 14:00 GENOVA Scritto + Orale
04/07/2023 14:00 GENOVA Scritto + Orale
18/07/2023 14:00 GENOVA Scritto + Orale
18/09/2023 14:00 GENOVA Scritto + Orale