First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
BUILDING ENGINEERING AND ARCHITECTURE
Course unit
MATHEMATICAL ANALYSIS 2
INL1002610, A.A. 2014/15

Information concerning the students who enrolled in A.Y. 2013/14

Information on the course unit
Degree course 5 years single cycle degree in
BUILDING ENGINEERING AND ARCHITECTURE
IN0533, Degree course structure A.Y. 2010/11, A.Y. 2014/15
N0
bring this page
with you
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination MATHEMATICAL ANALYSIS 2
Department of reference Department of Civil, Environmental and Architectural Engineering
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit CANNOT 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 ANNAMARIA MAZZIA MAT/08

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/05 Mathematical Analysis 6.0

Course unit organization
Period First semester
Year 2nd Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 6.0 80 70.0 No turn

Calendar
Start of activities 01/10/2014
End of activities 24/01/2015

Examination board
Board From To Members of the board
11 2017 01/10/2017 30/11/2018 MAZZIA ANNAMARIA (Presidente)
BERGAMASCHI LUCA (Membro Effettivo)
CIATTI PAOLO (Supplente)
10 2016 01/10/2016 30/11/2017 MAZZIA ANNAMARIA (Presidente)
BERGAMASCHI LUCA (Membro Effettivo)
BERTELLE ROBERTO (Supplente)
CIATTI PAOLO (Supplente)
SARTORI CATERINA (Supplente)
9 2015 01/10/2015 30/11/2016 MAZZIA ANNAMARIA (Presidente)
BERGAMASCHI LUCA (Membro Effettivo)
BERTELLE ROBERTO (Supplente)
CIATTI PAOLO (Supplente)
PINI GIORGIO (Supplente)
SARTORI CATERINA (Supplente)
8 2014 01/10/2014 30/09/2015 MAZZIA ANNAMARIA (Presidente)
BERGAMASCHI LUCA (Membro Effettivo)
BERTELLE ROBERTO (Supplente)
CIATTI PAOLO (Supplente)
PINI GIORGIO (Supplente)
SARTORI CATERINA (Supplente)

Syllabus
Prerequisites: Calculus 1 and euclidean geometry
Target skills and knowledge: The course aims to provide the basic notions of differential and integral calculus, with particular reference to two variables functions, to multiple integrals and to ordinary derivative functions.
Examination methods: Written examination.
Assessment criteria: Knowledge, ability in reasoning and understanding problems by using calculus tools.
Course unit contents: Basis concepts of Mathematical Analysis II

Calculus for functions of several variables.

Topology. Limit and continuity. Partial derivatives. Higher derivatives. Differentiability. Directional derivative. Tangent plane. Chain rule. Taylor formula. Quadratic form. Maximum and minimum values. Implicit functions. Level curves. Constraints values.

Vector function. Curves and surfaces.

Vector functions. Derivatives of vector functions. Curves. Length curve. Jacobian transformation. Parametric surface. Tangent plane to a surface.

Multiple integrals.

Double integrals and properties. Change of variables. Triple integrals. Line integrals. Surface integrals. Center of mass. Rotation volume and surface.

Differential equations.

The Cauchy problem. Existence theorens. First order linear differential equations. Separable equations. Linear differential equations.

Differential forms.

Linear differential form and their integral. Exact and closed forms.
Planned learning activities and teaching methods: Lectures and application practice
Additional notes about suggested reading: Annamaria Mazzia, Note di Analisi Matematica 2, tutorial on line for the students
Textbooks (and optional supplementary readings)
  • G. Anichini G. Conti, Analisi Matematica 2. --: Pearson Prentice Hall, 2010. testo consigliato ma non obbligatorio Cerca nel catalogo
  • James Stewart, Calcolo - Funzioni di piu' variabili. --: Maggioli Editore, 2013. testo consigliato ma non obbligatorio Cerca nel catalogo
  • R. A. Adams - C. Essex, Calcolo Differenziale 2. --: Casa Editrice Ambrosiana, 2014. testo consigliato ma non obbligatorio Cerca nel catalogo
  • Giorgio Pini, Appunti di Analisi Matematica 2. --: Libreria Progetto, --. testo consigliato ma non obbligatorio Cerca nel catalogo