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MATHEMATICAL ANALYSIS 1

## AIMS AND CONTENT

### LEARNING OUTCOMES

### AIMS AND LEARNING OUTCOMES

### TEACHING METHODS

### SYLLABUS/CONTENT

### RECOMMENDED READING/BIBLIOGRAPHY

## TEACHERS AND EXAM BOARD

### Exam Board

## LESSONS

### TEACHING METHODS

### LESSONS START

### Class schedule

## EXAMS

### EXAM DESCRIPTION

### ASSESSMENT METHODS

### Exam schedule

### FURTHER INFORMATION

CODE | 56584 |
---|---|

ACADEMIC YEAR | 2017/2018 |

CREDITS | 12 credits during the 1st year of 8784 Mechanical Engineering (L-9) LA SPEZIA |

SCIENTIFIC DISCIPLINARY SECTOR | MAT/05 |

LANGUAGE | Italian |

TEACHING LOCATION | LA SPEZIA (Mechanical Engineering) |

SEMESTER | Annual |

TEACHING MATERIALS | AULAWEB |

The aim is to achieve good knowledge of differential and integral calculus for one or two variables functions.

The aim is to achieve good knowledge of differential and integral calculus for one or two variables functions.

Lectures and exercises.

Real numbers, decimal representation, errors.

Functions of one real variable. Elementary functions and their graphs. Composed and inverse functions.Limits of fuctions. Linearization, differentiation. Derivatives: monotone and convex functions. Continue functions. Zeroes of functions: bisection and Newton algorithms. Taylor polynomial, maxima and minima. Integral calculus of one variable functions. Linear and separable differential equations: graphical, numerical and formal integration.

Functions of two (or more) real variables.

Graphical rappresentation of two real variables functions. Differential calculus for two (or more) real variables functions. Integral calculus for two variables functions. Optimization of two (or more) variables functions.

Some elements in Laplace transform.

F. Parodi, T. Zolezzi, Appunti di Analisi matematica, ECIG, 2007

R. A. Adams, Calcolo differenziale 1 & 2, Casa Editrice Ambrosiana, 2007

A. Bacciotti, F. Ricci, Lezioni di Analisi Matematica 1 e 2, Levrotto & Bella, 1991.

M. Bramanti, C. Pagani, S. Salsa, Analisi matematica 1 e 2 Zannichelli, 2008

**Office hours:** By appointment in the afternoon of class days, Tuesday the first half , the second half Monday.
.

FRANCO PARODI (President)

MARCO BARONTI

MARIA VIRGINIA CATALISANO

MARIA LAURA TORRENTE

Lectures and exercises.

Tuesday, September 19

Written and oral examination, partly based on intermediate written test during the course.

Intermediate written test during the course. Final examination.

Date | Time | Location | Type | Notes |
---|---|---|---|---|

16/01/2018 | 09:30 | LA SPEZIA | Scritto | |

06/02/2018 | 09:30 | LA SPEZIA | Scritto | |

12/06/2018 | 09:30 | LA SPEZIA | Scritto | |

10/07/2018 | 09:30 | LA SPEZIA | Scritto | |

11/09/2018 | 09:30 | LA SPEZIA | Scritto |

Pre-requisites: None