First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
ENERGY ENGINEERING
Course unit
ADVANCED MATHEMATICS FOR ENGINEERS (Ult. numero di matricola dispari)
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
ENERGY ENGINEERING
IN0515, Degree course structure A.Y. 2014/15, A.Y. 2017/18
Dispari
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Degree course track Common track
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
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 PIER DOMENICO LAMBERTI MAT/05

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
IN01123530 ADVANCED MATHEMATICS FOR ENGINEERS (Ult. numero di matricola dispari) PIER DOMENICO LAMBERTI IN1840

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
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: The lecture courses Analisi Matematica 1 and Fondamenti di Algebra Lineare e Geometria (these courses cover classical topics in calculus in one variable and standard linear algebra).
Target skills and knowledge: Knowledge of the main notions of differential and integral calculus in several variables and of the theory of ordinary differential equations.
Ability to apply the main techniques in the analysis and solution of corresponding problems of differential and integral calculus.
Examination methods: Written and oral exam
Assessment criteria: In order to obtain a final grade between 18 and 26 it is necessary to know all statements of all definitions, theorems, lemmas, corollaries, main examples and counterexamples, as well as to be able to solve standard problems. For grades above 26 it is also necessary to know all proofs of all propositions and to be able to solve less repetitive problems.
Course unit contents: Topology of the n-dimensional Euclidean space. Scalar and vector functions of several real variables, limits and continuity. Curves in the plane and in the space, parametric representation. Tangent and normal unit vector. Length of a curve. Line integrals. Differential calculus for functions of several variables: partial derivatives, tangent plane and differential, higher order derivatives. Maxima and minima of a function. Implicit functions, constrained maxima and minima. Differential calculus for vector functions. Parametric surfaces. Vector fields. Differential forms and potentials, Poincare's Lemma. Multiple integrals and calculus of volumes. Change of coordinates in integrals. Surface integrals. Differential operators. Flux of a vector field through a surface. Divergence and curl theorem. Ordinary differential equations and systems, Cauchy-Lipschitz Theorem. Linear differential equations, Wronskian theorem.
Planned learning activities and teaching methods: Traditional lectures at the blackboard (in Italian).
Additional notes about suggested reading: Note that this lecture course is in Italian.
Textbooks (and optional supplementary readings)
  • Fusco, Nicola; Marcellini, Paolo; Sbordone, Carlo, Analisi matematica due. Napoli: Liguori, 1996. ISBN-13: 978-88-207-2675-1 Cerca nel catalogo
  • Marcellini, Paolo; Sbordone, Carlo, Esercizi di Matematica - Volume II, Tomo 1. Napoli: Liguori, 2009. ISBN-13: 978-88-207-4649-0 Cerca nel catalogo
  • Marcellini, Paolo; Sbordone, Carlo, Esercizi di Matematica - Volume II, Tomo 2. Napoli: Liguori, 2009. ISBN-13: 978-88-207-4648-3 Cerca nel catalogo
  • Marcellini, Paolo; Sbordone, Carlo, Esercizi di Matematica - Volume II, Tomo 3. Napoli: Liguori, 2009. ISBN-13: 978-88-207-4650-6 Cerca nel catalogo
  • Marcellini, Paolo; Sbordone, Carlo, Esercizi di Matematica - Volume II, Tomo 4. Napoli: Liguori, 2009. ISBN-13: 978-88-207-4651-3 Cerca nel catalogo