
Course unit
MATHEMATICAL ANALYSIS 1 (Canale B)
IN10100190, A.A. 2018/19
Information concerning the students who enrolled in A.Y. 2018/19
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Basic courses 
MAT/05 
Mathematical Analysis 
12.0 
Course unit organization
Period 
First semester 
Year 
1st Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Lecture 
12.0 
96 
204.0 
No turn 
Examination board
Board 
From 
To 
Members of the board 
17 A.A. 2018/19 canale B 
01/10/2018 
30/11/2019 
PINZARI
GABRIELLA
(Presidente)
BENVEGNU'
ALBERTO
(Membro Effettivo)
DI RUZZA
SARA
(Supplente)

16 A.A. 2018/19 canale A 
01/10/2018 
30/11/2019 
ZANELLI
LORENZO
(Presidente)
PROVENZANO
LUIGI
(Membro Effettivo)
BERNARDI
OLGA
(Supplente)

15 A.A. 2017/18 canale B 
01/10/2017 
30/11/2018 
PINZARI
GABRIELLA
(Presidente)
BENVEGNU'
ALBERTO
(Membro Effettivo)
BENETTIN
GIANCARLO
(Supplente)
BERNARDI
OLGA
(Supplente)
CARDIN
FRANCO
(Supplente)
GUZZO
MASSIMILIANO
(Supplente)

14 A.A. 2017/18 canale A 
01/10/2017 
30/11/2018 
BERNARDI
OLGA
(Presidente)
MONTEFALCONE
FRANCESCOPAOLO
(Membro Effettivo)
PINZARI
GABRIELLA
(Supplente)

Prerequisites:

Basics of differential and integral calculus, as of high school standards. 
Target skills and knowledge:

Learning main contents of infinitesimal, differential and integral calculus. 
Examination methods:

Written and oral exam. 
Assessment criteria:

The written exam is composed of fife or six exercises with an overall mark of 30/30. It will be judged on the basis of the correctness of the exercises.The Student may access the oral exam only if she/he will have passed the written one with a minimum mark of 14/30. The oral exam consists of three questions about the theorem explained during the lectures, and their proofs. Each correct answer provides 10 points. The final mark is the arithmetic average of the written and the oral mark. In case of a final average mark equal to 30/30 and a particularly brilliant written and oral exam, the "Lode" will be assigned. 
Course unit contents:

Real numbers and their axioms. Theory of sets. Functions. Elementary functions. Induction. Supremum and infimum of a set, of a function, and its existence.
Limiting values for sequences and functions and their properties.
Continuous functions. Theorems on continuous functions.
Derivative of a function.
Maximima and minima. Theorems of Fermat, Rolle, Lagrange. Taylor formula and series.
Integrals and their applications.
Series and their properties.
Functions of two variables or more. Ordinary differential equations: examples of non linear differential equations; theory of linear differential equations. 
Planned learning activities and teaching methods:

Two continuous exams will give the opportunity of accessing the oral exam directly. The minimum for their validity is 18/30 as average mark. Moreover, the Student should give the oral exam within the two former exam sessions. 
Textbooks (and optional supplementary readings) 

Giusti, Enrico, Esercizi e complementi di analisi matematica. VolI. Torino: Bollati Boringhieri, . Terza edizione

Giusti, Enrico, Analisi Matematica I. Torino: Bollati Boringhieri, . Terza edizione


