Ecole Centrale Paris, is offering an online course called "An Introduction to Functional Analysis". It is an 8-week-long course. You can earn a verified certificate at the end of the course.
About the Course:
Functional analysis is the branch of mathematics dealing with spaces of functions. It is a valuable tool in theoretical mathematics as well as engineering. It is at the very core of numerical simulation.
In this class, you will learn the concepts of convergence and topology. You will understand the difference between strong convergence and weak convergence. You will also see how these two concepts can be used.
You will learn about different types of spaces including metric spaces, Banach Spaces, Hilbert Spaces and what property can be expected. You will see beautiful lemmas and theorems such as Riesz and Lax-Milgram and I will also describe Lp spaces, Sobolev spaces and provide a few details about PDEs, or Partial Differential Equations.
John Cagnol and Anna Rozanova-Pierrat will be the course instructors.
The course will have a workload of 4-6 hours of work / week.
It will be taught in English and subtitles will be available in English.
To register and to know more click here