OVERVIEW

The basic topics in calculus of severable variables are covered: numerical and Fourier series, differential calculus, study of maxima and minima of functions of two real variables.

AIMS AND CONTENT

LEARNING OUTCOMES

The students will become acquainted with the most important topics regarding functions of several variables and how they are used in practice. The only proof that are presented are those which show fundamental principles, and are free of technicalities.
 

AIMS AND LEARNING OUTCOMES

The course want to give the elementar notions on the numerical and power series, and the basic knowdlege on the differential and  for real and vectorial functions.

At the end, students should be able to:  

-correctly calculate elementar and standard calculations concerning numerical and power series, partial and directional derivates,             

-determine maxima e minima for functions of several variables, 

-find the Fourier series of periodic functions.

PREREQUISITES

The content of the Calculus 1 course.

TEACHING METHODS

Both theory and exercises are presented by classroom lessons held at the blackboard. The semester is 12 weeks long with four hours of theory and two hours of exercsces each week. Some tutorial exercitation will be carried out during the semester. 

Attendance is not mandatory but strongly recommended.

SYLLABUS/CONTENT

This course covers differential, integral and vector calculus for functions of more than one variable. Topics include:

• Sequences and series of numbers and functions.
• Fourier series.
• Functions of several variables, continuity, differentiability, derivative.

RECOMMENDED READING/BIBLIOGRAPHY

Baronti, M., De Mari, F., van der Putten, R., Venturi, I., Calculus Problems,
ISBN 978-3-319-15428-2, Springer-Verlag

O. Caligaris - P. Oliva, Analisi Matematica I e II, ECIG
J.P. Cecconi - G. Stampacchia, Analisi Matematica I e II, Liguori
T. Zolezzi, Analisi matematica II, Dispense 
Libri di esercizi svolti:
J.P. Cecconi - L. Piccinini - G. Stampacchia, Esercizi di Analisi Matematica I e II, Liguori
M. Chicco - F. Ferro, Esercizi svolti di Analisi Matematica II, ECIG
S. Salsa - A. Squellati, Esercizi di Matematica - Calcolo infinitesimale, volume 2, Zanichelli

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

According to the calendar approved by the Degree Program Board:  https://corsi.unige.it/en/corsi/8759/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The written examination consists in 4 exercises about the topics covered in this teaching. The duration of the test is two and half hours and it is possible to consult the notes and textbooks. The test is considered passed by obtaining a score greater than or equal to 18.

To participate in the written test you must register on the UNIGE site  (https://servizionline.unige.it/studenti/esami/prenotazione).

ASSESSMENT METHODS

The test is used to assess learning and general understanding of the topics covered, and the ability to apply the techniques learned to solve the exercises.

FURTHER INFORMATION

This teaching is planned for the curriculum: methodological.

For further information, please refer to the course’s AulaWeb module or contact the instructor.

Compensatory and dispensatory measures Disability/Invalidity/Specific Learning Disorder:

Dispensatory measures and compensatory tools are intended to enable students to achieve the same learning objectives as their fellow students, not to facilitate the examination.

The use of compensatory tools and the application of dispensatory measures must be authorised in advance by the teacher in agreement with the Referee.

To take advantage of the adaptations during the examination, fill in the Adaptation request form; the request will be automatically sent by the system to the teacher in charge of the teaching, to the Contact Person of your School/Area/Department and in copy to the Sector; you will also receive a copy of the request sent by e-mail.

The adjustments available to students are as follows:

• Additional time (+30% DSA)
• Additional time (+50% disability/invalidity)
• Additional time during oral exams to organise the answer
• Calculator (programmable and graphing calculators are not allowed)
• Conceptual Maps
• Tables and/or Forms
• Take the exam in written form
• Take the exam in oral form
• Tutor reader (for written tests only)
• Tutor-writer (for written tests only)

Your request for adaptations must be submitted at least 7 working days before the scheduled exam date.

All information for students with disabilities and DSA is available on the webpage: Services for students with disabilities or DSA | UniGe | University of Genoa

Reference for inclusion: Sergio Di Domizio - sergio.didomizio@unige.it