First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
AEROSPACE ENGINEERING
Course unit
MATHEMATICAL ANALYSIS 1 (Canale B)
IN10100190, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course First cycle degree in
AEROSPACE ENGINEERING
IN0511, Degree course structure A.Y. 2011/12, A.Y. 2018/19
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Number of ECTS credits allocated 12.0
Type of assessment Mark
Course unit English denomination MATHEMATICAL ANALYSIS 1
Website of the academic structure https://elearning.unipd.it/dii/course/view.php?id=472
Department of reference Department of Industrial Engineering
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge GABRIELLA PINZARI MAT/07
Other lecturers ALBERTO BENVEGNU' 000000000000

Mutuating
Course unit code Course unit name Teacher in charge Degree course code
IN10100190 MATHEMATICAL ANALYSIS 1 (Canale B) GABRIELLA PINZARI IN0515

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

Calendar
Start of activities 01/10/2018
End of activities 18/01/2019
Show course schedule 2019/20 Reg.2019 course timetable

Examination board
Board From To Members of the board
17 A.A. 2018/19 canale A 01/10/2018 30/11/2019 CACCIAFESTA FEDERICO (Presidente)
GIDONI PAOLO (Membro Effettivo)
ROSSI FRANCESCO (Supplente)
16 A.A. 2018/19 canale B 01/10/2018 30/11/2019 PINZARI GABRIELLA (Presidente)
BENVEGNU' ALBERTO (Membro Effettivo)
DI RUZZA SARA (Supplente)
15 A.A. 2017/18 canale A 01/10/2017 30/11/2018 CACCIAFESTA FEDERICO (Presidente)
CARAVENNA LAURA (Membro Effettivo)
ROSSI FRANCESCO (Supplente)
14 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)

Syllabus
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 Cerca nel catalogo
  • Giusti, Enrico, Analisi Matematica I. Torino: Bollati Boringhieri, --. Terza edizione Cerca nel catalogo