
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
ECTS: details
Type 
ScientificDisciplinary 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 
Hours of Individual study 
Shifts 
Lecture 
9.0 
72 
153.0 
No turn 
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 (maximumminimum). Acquiring the ability to study objects of dimensions or codimensions 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.

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, ...)
 Selfevaluation test
Innovative teaching methods: Software or applications used
 Moodle (files, quizzes, workshops, ...)
 One Note (digital ink)
 Webpage
Sustainable Development Goals (SDGs)

