Mathematics 4154/9054 :: Functional Analysis :: Fall 2021

What's new?
Assignment 5 posted.

Course Details

Middlesex College

Location and Time

Lectures in MC 108:

Tuesdays 12:30 - 2:30 PM,
Thursdays 12.30 - 1:30 PM;

OWL Page: Math 4154 and Math 9054



B. MacCluer, Elementary functional analysis, Springer GTM 253. This textbook is available in the electronic format from Western Library.

Other relevant texts: TBA



Lectures: Prof. Rasul Shafikov,
Office Hours: Tuesdays 2:30 - 4 PM in MC 112.


Course Outline

Hilbert spaces (orthonormal bases, linear operators, basic space geometry); basic theory of bounded linear operators; basic Banach spaces (including Hahn-Banach theorem, Uniform Boundedness, and Closed Graph theorem).

Course syllabus

What is expected?

What is expected of the student?

Students are expected to attend all lectures and complete all assignments, and examinations. No aids are permitted during the exams. Regular homework is an essential part of the course; it is the student's responsibility to keep up with the assigned homework and to seek additional help if and when it is needed..


Course Evaluation

The overall course grade will be calculated as listed below:

  1. Assignments (5) = 29%
  2. Midterm Test = 31%
  3. Final Exam = 40 %


Homework will be collected by the following schedule.

  1. Assignment 1. Due Thursday, Sept 23 in class.
  2. Assignment 2. Due Monday, Oct 7 in class.
  3. Assignment 3. Due Thursday, October 21, in class.
  4. Assignment 4. Due Thursday, Nov 18 in class.
  5. Assignment 5. Due Friday, Dec 2 in class.
Homework should be submitted by email to as a single PDF file. Assignments submitted after the deadline will receive an automatic 10% deduction. Every assignment written in TeX or LaTeX will receive 1 extra point. Students in 9054 will receive additional problems to submit.


There will be an in-class midterm on Tuesday October 26.

The Final Einal is on Sunday, December 19, 10 AM - 1 PM in EC 2130 . Please mark this date in your calendar!

All exams are cumulative!


For policies on prerequisites, student absences, academic offences, and other academic policies please see the Course Outline.