CALCULUS 1

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 one-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 the methodology with
computational tools through the
"Mathematica" package and "gnuplot" utility.

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

Each student must know the fundamental concepts of Basic Mathematical Logic, Algebra and Trigonometry.

1 Basics on Sets, Trigonometry, and Inequalities
2 Some concepts on Analytical Geometry
3 Sequences, Real Functions, Limits, and Continuity
4 Differentiability and Taylor series
5 Integration
6 Complex Numbers

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

The examination consists of an essay by which the ability of each student in solving simple exercises of Mathematical Analysis for functions of one variable is tested.
Examinations will evaluate: the understanding of the basic concepts of Infinitesimal Calculus for functions of one variable; 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