Math 231B, Fall 2019

Functional Analysis


Lecture time and location

MW 12:00-1:15 in MH 233


Math 231A (with a grade of "C-" or better) or instructor consent.

Office hours

MW 9:45-10:30 AM, 2:00-2:45 PM

Textbook (required)

Lokenath Debnath and Piotr Mikusinski: Introduction to Hilbert Spaces with Applications, third edition, Elsevier Academic Press, 2005

Non-required textbook

Brian Hall, Quantum Theory for Mathematicians, Springer GTM 267, 2013



Grading policy

Homework 50%, Paper 40%, Presentation 10%

Expository Paper

Each student will be required to write a short expository paper on a topic related to the course. A list of potential topics will be posted later.
Papers need to be typeset in LaTeX.


To handle questions posed outside of class, we will be using Piazza. Piazza is a free online gathering place where students can ask, answer, and explore 24/7, under the guidance of their instructors. On the class dashboard, students can post questions and collaborate Wikipedia-style to edit responses to these questions. I as an instructor can also answer questions, endorse student answers, and edit or delete any posted content.
Instead of emailing me math questions, I encourage you to post them on Piazza.

Each student will be invited to join Piazza by email. Please join it as soon as you can, as I plan to use Piazza extensively.


There will be about 10 homework assignments which will be posted on Piazza. You will be able to revise and rewrite your solutions based on my initial comments and suggestions. You are allowed to use the literature and discuss the problems amongst yourselves, but you have to write your own solutions.


Course greensheet