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## MATHEMATICAL ANALISYS

CODE 104810 2022/2023 12 cfu during the 1st year of 8719 INGEGNERIA INFORMATICA (L-8) - GENOVA 12 cfu during the 1st year of 9273 INGEGNERIA ELETTRONICA E TECNOLOGIE DELL'INFORMAZIONE(L-8) - GENOVA MAT/05 Italian GENOVA Annual AULAWEB

## 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.

### 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.

### 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).

Bramanti, Pagani, Salsa - Analisi Matematica 1

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

## LESSONS

September 2022

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## 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.

### Exam schedule

Date Time Location Type Notes