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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 |
Scientific-Disciplinary 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 |
19 A.A. 2019/20 canale A |
01/10/2019 |
30/11/2020 |
ZANELLI
LORENZO
(Presidente)
CARDIN
FRANCO
(Membro Effettivo)
BERNARDI
OLGA
(Supplente)
|
18 A.A. 2019/20 canale B |
01/10/2019 |
30/11/2020 |
PINZARI
GABRIELLA
(Presidente)
BENVEGNU'
ALBERTO
(Membro Effettivo)
DI RUZZA
SARA
(Supplente)
|
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:
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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:
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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) |
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Giusti, Enrico, Esercizi e complementi di analisi matematica. VolI. Torino: Bollati Boringhieri, --. Terza edizione
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Giusti, Enrico, Analisi Matematica I. Torino: Bollati Boringhieri, --. Terza edizione
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