OVERVIEW

The course is given by lectures on the blackboard (or at distance via TEAMS if required). The exam involves a written test and an oral test; the type of the written part is depending on whether the exam is allowed to be in presence (quiz + exercises) or online (only quiz). There will be the possibility of intermediate tests.

AIMS AND CONTENT

LEARNING OUTCOMES

The purpose is to acquire the knowledge of concepts and methods of calculus concerning numerical sequences and series, differential and integral calculus in one variable, ordinary differential equations.

AIMS AND LEARNING OUTCOMES

At the end of the course the student is required to know the concepts (definitions, theorems) and to apply them in practical problems. In the first part this concerns limits (of sequences and functions), continuity, differentiability, Taylor's formula and possibly sequences and series of functions.  In the second part the learning outcomes concern methods of integration, differential calculus for several variables functions and solution of simple differential equations. 

Moreover the following transversal skills will be developed:

• literacy
• learn to learn

PREREQUISITES

Numerical sets, equations and inequalities, analytical geometry in the plane, goniometry and trigonometry, elements of set theory.

TEACHING METHODS

The teching method is via lectures on the blackboard, if presence in rooms is allowed. Otherwise lectures are given at distance. For the transversal skills, a problems solving based approach will be used.

We advice working students and students with dysfunctionalities or disabilities or other special educational needs to contact the professor at the beginning of the course in order to devise an adequate teaching method and exams, which are in line with the learning outcomes as well as the individual learning skills.

SYLLABUS/CONTENT

Numerical sets. Induction. Differential calculus. Taylor's formula. Applications of study of functions (minima/maxima and zeroes of nonlinear functions). 

Integration. Sequences and series of functions. Differential calculus of several variables functions. Ordinary differential equations (separable variables, constant coefficients linear differential equations, and particular ones).

RECOMMENDED READING/BIBLIOGRAPHY

Bramanti, Pagani, Salsa - Analisi Matematica 1

Baronti, De Mari, van der Putten, Venturi - Calculus Problems

TEACHERS AND EXAM BOARD

Exam Board

SIMONE DI MARINO (President)

LAURA CAPELLI

MARC ALEXANDRE MUNSCH (President Substitute)

LESSONS

LESSONS START

September 2023: https://easyacademy.unige.it/portalestudenti/index.php?view=easycourse&_lang=it&include=corso

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam involves a written test and an oral test; the type of the written part is depending on whether the exam is allowed to be in presence (quiz + exercises) or online (only quiz). There will be the possibility of intermediate tests.

Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.
 

ASSESSMENT METHODS

Questions during the exam involve both theoretical aspects (theorems, formal developments) and applications via exercises.