First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
ADVANCED MATHEMATICS FOR ENGINEERS (Ult. numero di matricola dispari)
IN01123530, A.A. 2019/20

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

Information on the course unit
Degree course First cycle degree in
IN1840, Degree course structure A.Y. 2011/12, A.Y. 2019/20
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Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination ADVANCED MATHEMATICS FOR ENGINEERS
Website of the academic structure
Department of reference Department of Industrial Engineering
Mandatory attendance No
Language of instruction Italian
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

Teacher in charge PIETRO POLESELLO MAT/05

Course unit code Course unit name Teacher in charge Degree course code
IN01123530 ADVANCED MATHEMATICS FOR ENGINEERS (Ult. numero di matricola dispari) PIETRO POLESELLO IN0515

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

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

Type of hours Credits Teaching
Hours of
Individual study
Lecture 9.0 72 153.0 No turn

Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2011 course timetable

Prerequisites: Differential and integral calculus of one variable. Basic knowledge of linear algebra and geometry (vector spaces, linear maps, matrix algebra, determinants, criteria and methods for solving linear systems). Conics and quadrics.
Target skills and knowledge: Knowing how to study the functions of several variables, in particular the identification of their critical points and their classification (maximum-minimum). Acquiring the ability to study objects of dimensions or co-dimensions greater than 1, as curves or surfaces in the 3d space, and to calculate extended integrals on higher dimensional spaces. Knowing how to study the vector valued functions and how to calculate their integrals by exploiting Gauss' and Stokes' theorems.
Examination methods: Written exam, consisting in several exercises to be solbved in detail.
Assessment criteria: It will be evaluated the ability to apply appropriately the theoretical tools learned during the course.
Course unit contents: Limits and continuity for functions of several variables. Differential calculus in several variables. Maximum and minimum.
Curves and surfaces in the space. Maxima and minima for functions defined on surfaces or curves (Lagrange multiplier theorem).
Integration. Vector fields. Surfaces and surface integrals.
Green's formula, Gauss' theorem, Stokes' formula.
Ordinary differential equations.
Planned learning activities and teaching methods: Lectures at the blackboard and with the tablet. The lecture notes will be available on moodle/teacher's web page.
Additional notes about suggested reading: Lecture notes available on moodle/teacher's web page.
Textbooks (and optional supplementary readings)
  • Adams, Robert A.; Essex, Christopher; Quartapelle, Luigi, Calcolo differenziale 2funzioni di piĆ¹ variabiliRobert A. Adams, Christopher Essexedizione italiana a cura di Luigi Quartapelle. Milano: Ambrosiana, 2014. Cerca nel catalogo
  • Bertsch, Michiel; Giacomelli, Lorenzo, Analisi matematicaMichiel Bertsch, Roberta Dal Passo, Lorenzo Giacomelli. Milano: McGraw Hill, 2015.

Innovative teaching methods: Teaching and learning strategies
  • Loading of files and pages (web pages, Moodle, ...)
  • Self-evaluation test

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)
  • One Note (digital ink)
  • Webpage

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