# DIFFERENTIAL AND INTEGRAL CALCULUS

iten
Code
57069
2017/2018
CREDITS
6 credits during the 1st year of 8759 Computer Science (L-31) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Computer Science)
semester
2° Semester
Teaching materials

## OVERVIEW

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

## AIMS AND CONTENT

LEARNING OUTCOMES

The basic objective of Calculus is to relate small-scale (differential) quantities to large-scale (integrated) quantities. This is accomplished by means of the Fundamental Theorem of Calculus. Students should demonstrate an understanding of the integral as a cumulative sum, of the derivative as a rate of change, and of the inverse relationship between integration and differentiation.

TEACHING METHODS

Both theory and exercises are presented by the teacher in the classroom on the blackboard. The semester is 12 weeks. Moreover a tutor is available for this course. Some tutorial exercitations will be carried out during the semester.

SYLLABUS/CONTENT

1. Both theory and exercises are presented by the teacher in the classroom on the blackboard. The semester is 12 weeks. Moreover a tutor is available for this course. Some tutorial exercitations will be carried out during the semester.    Definition of derivative as a limit and the rules of differentiation to differentiate functions.
2. The graph of a function using asymptotes, critical points, and the derivative test for increasing/decreasing and concavity properties.
3.  Max/min problems and the use of differentiation to solve them
4.  Integrals by using the Fundamental Theorem of Calculus.
5.     Techniques of integration, such as substitution, inverse substitution, partial fractions and integration by parts.

Baronti, M., De Mari, F., van der Putten, R., Venturi, I., Calculus Problems,
ISBN 978-3-319-15428-2, Springer-Verlag

## TEACHERS AND EXAM BOARD

Office hours: Friday 14-16

Exam Board

ERNESTO DE VITO (President)

VINCENZA DEL PRETE (President)

SANDRO BETTIN

FILIPPO DE MARI CASARETO DAL VERME

GIANCARLO MAUCERI

## LESSONS

TEACHING METHODS

Both theory and exercises are presented by the teacher in the classroom on the blackboard. The semester is 12 weeks. Moreover a tutor is available for this course. Some tutorial exercitations will be carried out during the semester.

LESSONS START

Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

EXAM DESCRIPTION

Written and oral tests.

ASSESSMENT METHODS

The written examination consists in some exercises about the topics covered in this course. In the oral exam a discussion of the written examination is done; moreover some questions are asked on the course content.

Exam schedule

Date Time Location Type Notes
15/01/2018 09:00 GENOVA Scritto
11/06/2018 09:00 GENOVA Scritto
25/06/2018 09:00 GENOVA Scritto
23/07/2018 09:00 GENOVA Scritto Aula 506
23/07/2018 09:00 GENOVA Scritto
17/09/2018 09:00 GENOVA Scritto
16/01/2019 09:00 GENOVA Scritto