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MATH 6626 - Elements of Functional Analysis

Course Name: 
Elements of Functional Analysis
Course Code: 
MATH 6626
Course Credits: 
4
Level: 
Graduate
Prerequisites: 
MATH6621
Course Description: 

The course gives an up-to-date and modern overview of the main concepts in Functional Analysis. Functional analytic properties and several examples of Banach and Hilbert spaces arising in several branches of mathematics are studied to show how functional analysis is a unifying theme in different mathematical fields.

Content: 
Metric spaces; Normed spaces, Linear operators, Hilbert spaces, Some fundamental theorems of Functional Analysis
Assessment: 
The course assessment has two components consisting of coursework (40%) and a final exam (60%): One in-course test - 20% of overall grade; One group project - 20% of overall grade; Final exam - 60% of overall grade.
Categoryofcourses: 
Typeofcourse: 
Core Courses
coursedegree: 
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