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## MATHEMATICAL ANALYSIS

CODE 65909 2021/2022 12 cfu during the 1st year of 10800 INGEGNERIA MECCANICA - ENERGIA E PRODUZIONE (L-9) - SAVONA MAT/05 Italian SAVONA Annual AULAWEB

## OVERVIEW

The course aims to develop the tools of Mathematical Analysis necessary to study and understand technical and scientific topics. These tools are introduced, developed and their main applications are illustrated.

## AIMS AND CONTENT

### LEARNING OUTCOMES

The course provides the main concepts in differential and integral calculus of a single real variable, and it teaches students rigorous and reflective thinking

### AIMS AND LEARNING OUTCOMES

The course aims to introduce the tools of Mathematical Analysis and to provide examples of their application.

### PREREQUISITES

A good knowledge of basic mathematics such as that provided by a High School,

### TEACHING METHODS

The course consists of lectures and practice.

### SYLLABUS/CONTENT

Real number system.  Elementary functions. Numerical sequences, recurrence sequences, fixed points.

Differential calculus of  functions of one real variable. De l'Hopital rule and Taylor formula, Peano and  Lagrange remainder.

Integral calculus:  Riemann theory, integration techniques, primitive functions, fundamental theorem of Calculus, improper integrals.

Separable differential equations. Differential linear equations and systems of differential linear equations.

Course materials can be found at :    http://web.inge.unige.it/DidRes/Analisi/AMindex.html

## TEACHERS AND EXAM BOARD

### Exam Board

OTTAVIO CALIGARIS (President)

MAURIZIO SCHENONE

CLAUDIO CARMELI (President Substitute)

EDOARDO MAININI (President Substitute)

DANILO PERCIVALE (President Substitute)

## LESSONS

### LESSONS START

https://corsi.unige.it/10800/p/studenti-orario

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

### EXAM DESCRIPTION

Final examination  consists of  an oral exam.

### ASSESSMENT METHODS

The student must know the methods and tools used in class. It is required to be able to use the tools studied to solve problems. The quality of the exposure, the correct use of the specialized vocabulary and the reasoning skills contribute to the final evaluati

### Exam schedule

Date Time Location Type Notes
18/02/2022 09:00 GENOVA Esame su appuntamento
16/09/2022 09:00 GENOVA Esame su appuntamento

### FURTHER INFORMATION

Pre-requisites :

Good knowledge of high school mathematics.