Math 231B, Fall 2019
Functional Analysis
Lecture time and location
MW 12:00-1:15 in MH 233
Prerequisite
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
Exams
None
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.
Piazza
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.
Homework
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.
Greensheet