CODE 25900 2023/2024 8 cfu anno 2 MATEMATICA 8760 (L-35) - GENOVA MAT/05 Italian GENOVA 1° Semester AULAWEB

OVERVIEW

The aim of the course is to consolidate the theoretical knowledge about Mathematical Analysis I and to extend it to the study of functions of several variables and to the study of sequences and series of functions.

AIMS AND CONTENT

LEARNING OUTCOMES

Introduction to mathematical analysis and differential calculus for scalar and vector functions of several real variables.

AIMS AND LEARNING OUTCOMES

The aim of the course is providing students with the main notions of function sequences and series and of the differential calculus of functions of several variables. At the end of the course the student will have to know the definitions, understand the main theorems, and be able to solve and analyze problems.

PREREQUISITES

Mathematical Analysis I, Linear algebra and analytic geometry

TEACHING METHODS

The course will be divided into two parts: theory and exercises. During the theoretical lessons the definitions, the statements and the proofs of the theorems will be presented, in addition to examples and exercises. During the other part of the course, many examples and exercises will be studied and solved in order to clarify the different aspects of the theory.

SYLLABUS/CONTENT

• Sequences and series of functions, power series
• Differential calculus of functions of several variables
• The Cauchy problem for ordinary differential equations and systems

Paolo Marcellini, Carlo Sbordone - Esercitazioni di analisi matematica due, Zanichelli

Nicola Fusco, Paolo Marcellini, Carlo Sbordone - Lezioni di analisi matematica due, Zanichelli

Marco Bramanti, Carlo D. Pagani, Sandro Salsa - Analisi matematica 2, Zanichelli

Terence Tao, Analysis II, Springer

TEACHERS AND EXAM BOARD

Exam Board

GIOVANNI ALBERTI (President)

MARCO BARONTI

LESSONS

LESSONS START

The class will start according to the academic calendar.

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam consists of a written test and of an oral test. The oral exam is not compulsory, and only the students who obtain at least 15 in the written test may participate to the oral exam. If a student decides not to take the oral exam, the final mark will be the minimum between the mark of the written test and 27.

Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take into account the individual learning arrangements and provide appropriate compensatory tools.

ASSESSMENT METHODS

Both written and oral exams consist of problems on the topics of the course and of the exposition of some parts of the theory. The student needs to show the ability of critical thinking, the ability of applying the results of the theory to solve the problems, and the knowledge of the theory.

Exam schedule

Data Ora Luogo Degree type Note
10/01/2024 09:00 GENOVA Scritto
12/01/2024 09:00 GENOVA Orale
05/02/2024 09:00 GENOVA Scritto
09/02/2024 09:00 GENOVA Orale
12/06/2024 09:00 GENOVA Scritto
13/06/2024 09:00 GENOVA Orale
10/07/2024 09:00 GENOVA Scritto
11/07/2024 09:00 GENOVA Orale
11/09/2024 09:00 GENOVA Scritto
13/09/2024 14:00 GENOVA Orale