First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
CHEMICAL AND MATERIALS ENGINEERING
Course unit
ADVANCED MATHEMATICS FOR ENGINEERS (Ult. numero di matricola pari)
IN01123530, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course First cycle degree in
CHEMICAL AND MATERIALS ENGINEERING
IN1840, Degree course structure A.Y. 2011/12, A.Y. 2017/18
Pari
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Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination ADVANCED MATHEMATICS FOR ENGINEERS
Department of reference Department of Industrial Engineering
E-Learning website https://elearning.unipd.it/dii/course/view.php?idnumber=2017-IN1840-000ZZ-2016-IN01123530-PARI
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 MASSIMO LANZA DE CRISTOFORIS MAT/05
Other lecturers ALBERTO BENVEGNU'

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
IN01123530 ADVANCED MATHEMATICS FOR ENGINEERS (Ult. numero di matricola pari) MASSIMO LANZA DE CRISTOFORIS IN0515

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/05 Mathematical Analysis 9.0

Mode of delivery (when and how)
Period First semester
Year 2nd Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 9.0 72 153.0 No turn

Calendar
Start of activities 25/09/2017
End of activities 19/01/2018

Examination board
Board From To Members of the board
17 A.A. 2017/18 ult. numero matricole pari 01/10/2017 30/11/2018 LANZA DE CRISTOFORIS MASSIMO (Presidente)
LAMBERTI PIER DOMENICO (Membro Effettivo)
BENVEGNU' ALBERTO (Supplente)
16 A.A. 2017/18 ult. numero matricole dispari 01/10/2017 30/11/2018 LAMBERTI PIER DOMENICO (Presidente)
LANZA DE CRISTOFORIS MASSIMO (Membro Effettivo)
ANCONA FABIO (Supplente)
POLESELLO PIETRO (Supplente)
15 A.A. 2016/17 (matricole pari) 01/10/2016 30/11/2017 LANZA DE CRISTOFORIS MASSIMO (Presidente)
LAMBERTI PIER DOMENICO (Membro Effettivo)
ANCONA FABIO (Supplente)
MARSON ANDREA (Supplente)
14 A.A. 2016/17 01/10/2016 30/11/2017 LAMBERTI PIER DOMENICO (Presidente)
LANZA DE CRISTOFORIS MASSIMO (Membro Effettivo)
ANCONA FABIO (Supplente)
MARSON ANDREA (Supplente)

Syllabus
Prerequisites: Analisi Matematica 1, including the corresponding notions of point set topology. Elements of linear algebra. In particular, the elementary properties of vector spaces, of linear operators and matrix calculus.
Target skills and knowledge: Basic elements of differential and integral calculus in several variables
Examination methods: The exam consists of a written test and of an oral test

The written test consists of a certain number of queries, always the same number for each written test. Each query concerns a specific part of the program. The test dates will be posted

Each query normally consists in the resolution of an exercise

The written test is sufficient provided that the students shows to be able to pass each query of the test,

If a students turns in a test which is not sufficient but which contains a certain minimum number of queries which have been granted a passing, the teacher may allow the student to access make up tests which would take place in the following written exam sessions. Such a minimum number will be indicated by the teacher.

The oral test can be accessed in any of the oral exam sessions after the written test has been evaluated as sufficient. The grade of the oral test may be either higher, or equal or lower to the grade of the written test.

In case of failure of the oral test, the teacher may ask the student to repeat the written test either completely or in part in the remaining written exam sessions
Assessment criteria: The knowledge of the candidate on the topics of the program will be evaluated
Course unit contents: Preliminaries of point set topology and limits for functions of several variables.

Differential calculus for vector valued functions of several variables

Curves, surfaces and manifolds

Minimum and maximum for functions of several variables defined on manifolds

Theory of measure and integration, computation of line and surface integrals. Computation of the length of a curve, of surface areas and of the volume of solids

Linear differential forms
Planned learning activities and teaching methods: Theoretic explanations with examples and exercises
Additional notes about suggested reading: M. Lanza de Cristoforis, Traccia delle lezioni del corso di
Analisi Matematica 1, A.A. 2017/18, Edizioni Libreria Progetto, Padova.

M. Lanza de Cristoforis, Traccia delle lezioni del corso di
Analisi Matematica 2, A.A. 2017/18, Edizioni Libreria Progetto, Padova.

Hand outs and references as indicated during the lectures

For the exercises, we mention the following textbooks

G. De Marco, C. Mariconda, Esercizi di Analisi Due, Libreria Progetto, 2013.

P. Marcellini, C. Sbordone, Esercizi di Matematica, Volume II, Tomi
1, 2, 3, 4, Liguori Editore, 2009
Textbooks (and optional supplementary readings)
  • --, --. --: --, --. Vedi riquadro `Eventuali indicazioni sui materiali di studio'