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CODE 104810
ACADEMIC YEAR 2024/2025
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/05
LANGUAGE Italian (English on demand)
TEACHING LOCATION
  • GENOVA
SEMESTER 1° Semester
TEACHING MATERIALS AULAWEB

OVERVIEW

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

AIMS AND CONTENT

LEARNING OUTCOMES

The purpose is to acquire the knowledge of concepts and methods of calculus concerning numerical sequences and series, differential and integral calculus in one variable, ordinary differential equations.

AIMS AND LEARNING OUTCOMES

The main expected learning 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 
  • to master simple demonstration techniques 
  • the ability to solve exercises, discussing the reasonableness of the results

Transversal skills:

Literacy (basic level): Ability to communicate effectively in written and oral form, adaptation of one's communication to the context, use of sources and aids of various kind

PREREQUISITES

Numerical sets, equations and inequalities, analytical geometry in the plane, goniometry and trigonometry, elements of set theory.

TEACHING METHODS

Lecture classes and exercise classes.

For the transversal skills, a problems solving based approach will be used.

We advice working students and students with dysfunctionalities or disabilities or other special educational needs to contact the professor at the beginning of the course in order to devise an adequate teaching method and exams, which are in line with the learning outcomes as well as the individual learning skills.

SYLLABUS/CONTENT

Real numbers, the oriented real line. The Cartesian plane, graphs of elementary functions. Operations on functions and their graphical interpretation. Monotonicity. Composition and inversion. Powers, exponentials and logarithms. Supremum and infimunm. Numerical sequences: the basic notions and examples. Limits of functions. Infinitesimal and infinite functions. Continuous functions and their local and global properties. Derivatives and derivation rules. Derivatives of elementary functions. Sign of derivatives in the study of monotonicity and convexity. The classical theorems of Rolle, Cauchy, Lagrange and de l'Hôpital. Study of the graph of functions. Taylor expansions and theoir applications.

RECOMMENDED READING/BIBLIOGRAPHY

  • C. Canuto, A. Tabacco, Analisi Matematica 1, 4a edizione, Springer-Verlag Italia, 2014,
  • M. Baronti, M., F. De Mari,  R. van der Putten, I. Venturi,  Calculus Problems, Springer International Publishing Switzerland, 2016

TEACHERS AND EXAM BOARD

Exam Board

SIMONE DI MARINO (President)

LAURA CAPELLI

MARCO BARONTI (President Substitute)

ANDREA BRUNO CARBONARO (President Substitute)

CLAUDIO ESTATICO (President Substitute)

EDOARDO MAININI (President Substitute)

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam consists of

  • Multiple choice test
  • Written exam

To enroll the exam you must register by the deadline on the website
https://servizionline.unige.it/studenti/esami/prenotazione

Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

ASSESSMENT METHODS

Multiple choice tests. It is aimed to verify the student's ability to manage mathematical notation and to carry out simple computations and simple deductive reasoning. It is necessary to be successful in the multiple choice test in order to access the written exam


Written exam. This part includes open questions and exercises. It is aimed to verify the knowledge of the main tools of differential calculus. The written exam consists of exercises with several questions of different difficulty.   The student must be able to solve the exercises correctly and to justify the necessary steps to obtain the final result, and to use the correct formalism. 

Exam schedule

Data appello Orario Luogo Degree type Note
22/01/2025 14:00 GENOVA Scritto
07/02/2025 08:00 GENOVA Scritto
17/06/2025 08:00 GENOVA Scritto
16/07/2025 08:00 GENOVA Scritto
05/09/2025 08:00 GENOVA Scritto

Agenda 2030 - Sustainable Development Goals

Agenda 2030 - Sustainable Development Goals
Quality education
Quality education

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 PRO3 - Soft skills - Alfabetica base 1 - A
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