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CODE 115495
ACADEMIC YEAR 2024/2025
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/05
LANGUAGE Italian
TEACHING LOCATION
  • LA SPEZIA
SEMESTER 1° Semester
PREREQUISITES
Propedeuticità in uscita
Questo insegnamento è propedeutico per gli insegnamenti:
TEACHING MATERIALS AULAWEB

OVERVIEW

The aim of this course is to provide the basic elements of differential calculus for functions of one variable.

AIMS AND CONTENT

LEARNING OUTCOMES

The unit provides some basic concepts of mathematical analysis and the first elements of differential calculus for functions of one variable

AIMS AND LEARNING OUTCOMES

The main expected outcomes are:

- to master the mathematical notation;

- the knowledge of the properties of the main elementary functions;

- the ability to follow the logical concatenation of arguments;

- the ability to solve elementary exercises.

PREREQUISITES

Numerical sets, equations and inequalities, analytic geometry, trigonometrey.

TEACHING METHODS

Lecture classes and exercises classes.

SYLLABUS/CONTENT

Real numbers, the real plane, graphs and elementary functions. Operations on functions and their graphical interpretation. Monotonicity, composition and inversion. Supremum and infimum. Numerical sequences. Limits of functioins, infinitesimal and infinite functions. Continuous functions and their local and global properties. Derivatives, differentiation rules and elementary derivatives. Sign of derivatives and study of monotonicity and convexity. Theorems of Rolle, Lagrange e de L'Hopital. Study of the graph of functions. Taylor expansions and their applications.

RECOMMENDED READING/BIBLIOGRAPHY

M.Baronti, F. De Mari, R. van der Putten, I.Venturi - Calculus Problems - Springer International, 2016.

C. Canuto, A. Tabacco - Analisi Matematica 1 - Springer Italia, 2014.

TEACHERS AND EXAM BOARD

Exam Board

ALBERTO PERELLI (President)

MARCO BARONTI

ROBERTUS VAN DER PUTTEN

LESSONS

LESSONS START

Lessons start when first semester starts.

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

Written examination by tests with multiple answers. To participate to a written exam you must register on the specific Unige web site at least 7 days before the date of the exam.

ASSESSMENT METHODS

The test aim at verify the ability of students in performing short computations and simple deductive reasonings.

Exam schedule

Data appello Orario Luogo Degree type Note
28/01/2025 10:00 LA SPEZIA Scritto
11/02/2025 10:00 LA SPEZIA Scritto
10/06/2025 10:00 LA SPEZIA Scritto
08/07/2025 10:00 LA SPEZIA Scritto
09/09/2025 10:00 LA SPEZIA Scritto

FURTHER INFORMATION

On the AulaWeb page of the course you can find the text of previous written examnations and lists of exercises.

Agenda 2030 - Sustainable Development Goals

Agenda 2030 - Sustainable Development Goals
Quality education
Quality education