76297 - Higher Analysis 1

Course Unit Page

  • Teacher Antonio Bove

  • Credits 6

  • SSD MAT/05

  • Teaching Mode Traditional lectures

  • Language Italian

  • Course Timetable from Oct 04, 2017 to Dec 22, 2017

Academic Year 2017/2018

Learning outcomes

The purpose of this course is to acquaint the student with techniques in higher analysis allowing him to pursue further studiies in his future career.

Course contents

The course should be an introduction to the theory of Partial Differential Equations (PDEs) for students majoring in both pure and applied mathematics.

The first semester is devoted to distribution theory and the theory of Fourier transform in distribution category.

Readings/Bibliography

1- L. Hoermander, Linear Partial Differential Operators, Springer 1963.

2- F. Treves, Basic Linear Differential Equations, Dover

3- I. M. Gel'fand, G. Shilov, Theory of distributions

 Further readings and complements will be suggested in class. 

Teaching methods

The general theory is supported by a number of problems as well as applications. This should provide the students with an applied math major of a sufficient background in their dicipline.

Assessment methods

1- Homework at pre-determined time intervals.

2- Problems solved in class by the teacher as well as by the students.

3- Written and oral exam. The latter always starts from the exposition of some (relevant) topic chosen by the student. 

Teaching tools

Homework and problems in class.

Office hours

See the website of Antonio Bove