|SCIENTIFIC DISCIPLINARY SECTOR||MAT/05|
Some basic topics in Functional Analysis are covered, with the aim to continue the study already begun in the previous course Mathematical Analysis 4.
Introduction of the fundamental concepts of Lebesgue's Integration Theory and of Functional Analysis.
The aim of this course is to teach some classical topics in Mathematical Analysis (Functional Analysis and Measure Theory), which are considered fundamental for a basic knowledge of Mathematics and for the students who plan to continue their studies with a Master's degree in Mathematics.
Expected learning outcomes
At the end of the course, the student will have to know the theoretical concepts introduced in the lectures, construct and discuss examples related to each of them (in such a way to better understand the abstract concepts), write/reconstruct the proofs seen in the lectures or easy variants of those and solve problems on the topics of the course.
Mathematical Analysis I, 2, 3 and 4, Linear Algebra and Analitic Geometry, Geometry 1.
The course consists of frontal lectures carried out by the teacher where the theory is explained and where basic examples are discussed (four hours per week). These are integrated with problem lectures (one hour per week). The teaching material, including problem sheets and old exam scripts, is available in aulaweb.
Office hours: By appointment
Office hours: At the end of lectures or by appointment.
GIOVANNI ALBERTI (President)
ADA ARUFFO (President Substitute)
The class will start according to the academic calendar.
All class schedules are posted on the EasyAcademy portal.
The exam consists in a written test and in an oral test. Only the students who pass the written test may do the oral exam.
In the written test the students need to solve some problems, related to the topics of the course. This allows to evaluate the ability of the students to solve problems and to apply the theoretical results in concrete situations.
During the oral exam, the written test, the theoretical results and problems are discussed. This allows to test the knowledge of the theory of the students and their abilities to put it into practice.