Course Details for A.Y. 2016/2017

The information on this page refer to the academic year 2016/2017. Therefore, several links are not available and data may be incomplete. To read the current information on the course, if it is still available, go to the university course catalogue . To read information relating other academic years, use the list at the bottom of this page.

A. Year:

2016/2017

Name:

Advanced Anaysis 2 / Advanced Anaysis 2

Type:

Module

Main course:

Advanced Analysis / Advanced Analysis

Basic information

Code:

DT0115

Sector:

MAT/05

Credits:

: Master Degree in Mathematics 6 CFU (b)

Term:

2^nd semester

Degree(s):

Master Degree in Mathematics 2^nd anno curriculum Generale Compulsory

Language:

English

Teacher(s):

Margherita Nolasco

Propaedeutics:

Advanced Analysis 1

Course Objectives

Aim of the course is the knowledge of advanced techniques of mathematical analysis and in particular the basic techniques of the modern theory of the partial differential equations.

Course Content

Abstract Measure theory
AC and BV functions.
Fourier transforms.
Second order elliptic equations
Variational methods.

Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

Aim of the course is to acquire Knowledge and Understanding of Advanced Techniques of 'Mathematical Analysis.
applying the techniques learned to problems of partial differential equations
Acquire the ability to understand what methods and techniques can be used in various problems involving the partial differential equations.
Acquire the ability 'to expose, explain and elaborate concepts and advanced analysis techniques.
Acquire the ability 'to study and understand theorems and analysis techniques from books and advanced research products.

Prerequisites and Learning Activities

A good knowledge of the basic arguments of a course of Functional Analysis, in particular, a good knowledge of the theory of Lebesgue's integral ande the L^p spaces. The first module of the course, in particular a good knowledge of the theory of distributions and Sobolev spaces.

Assessment Methods and Criteria

Oral exams.

Textbooks

H. Brezis, Analisi Funzionale
S.Reed, B.Simon, Methods of Modern Mathematical Physics: II vol
L.C. Evans, Partial differential equations
W. Rudin, Real and complex analysis

Internet Resources

Homepage:

http://univaq.it/~nolasco

Course page updates

This course page is available (with possible updates) also for the following academic years:

To read the current information on this course, if it is still available, go to the university course catalogue .

Course information last updated on: 05 maggio 2016, 17:59