CALCULUS 2

This course belongs to the curricular activities of the the Bachelor
in Computer Science.
The course aims at providing students with the basic instruments of
Mathematical Analysis,
concerning two-variable functions.

The aim of this Course is to develop skills one needs to solve
Differential and Integral
questions arising in technology, science,
economics and business.

Attention is paid to the integration of methodology with
computational tools through the
"Mathematica" package and "gnuplot" utility.

Regular and active participation in the teaching activities offered by
the Course
and in independent learning activities will enable students to:
1. (knowledge and understanding)
-- acquire knowledge and understanding regarding some basic concepts
in Mathematical Analysis concerning two-variable functions.
2. (applying knowledge and understanding)
-- describe and use simple Mathematical Models;
-- use symbolic and numeric Math software for solving problems
involving two-variable functions;
3. (making judgements)
-- correctly understand Math statements concerning two-variable functions.

Each applicant must be familiar with the foundations of matrix calculus and
differential and integral calculus for real functions of one real variable.

Ordinary differential equations
Functions of many variables.
Partial and directional derivatives.
Gradient vector.
Higher order derivatives.
Taylor formula.
Stationarity and extremal points.
Multiple integrals.
Reduction formulas.
Variable substitution.
Parametric curves.
Integrals on curves.

Stewart, James, Calculus, seventh ed., Toronto, 2012

The examination consists of a written essay by which the abilities of each student in solving exercises of Mathematical Analysis for functions of two variables are tested.
Examinations will evaluate: the understanding of the basic concepts of Infinitesimal Calculation for functions of two variables; the ability to solve simple problems concerning this topic. The evaluation is performed by open answer problems.

Classroom lessons by a multimedial tablet are carried on. The moodle platform is exploited, in order to
deliver Quizzes for checking the abilities of the student, and
supplementary material is proposed.

Italian

None.

written

This subject deals with topics related to the macro-area "Climate change and energy" and contributes to the achievement of one or more goals of U. N. Agenda for Sustainable Development