Math 113
Functional Analysis
Last updated March 30, 2025 11:05:12 EDT

General Information HW Assignments Canvas Page

General Information

Textbook and Syllabus Scheduled Lectures Instructors
Examinations Homework Policy Grades
Honor Principle Special Considerations




Announcements:

Textbook and Syllabus

I plan for the lectures to be basically self-contained, but I will be somewhat closely following Real Analysis (fourth edition) by H. L. Royden and P. M. Fitzpatric (earlier editions by Royden alone are also fine) influenced by Gert Pedersen's Analysis Now.

I've placed both the above texts on reserve as well as a few others that are listed on our canvas page under the "Library Reserves" tab.

I plan a rather brief review of metric spaces from Math 73/103. Then we will move on to Banach space, Hilbert spaces, and perhpas some additional topics depending the interests of the class.


Scheduled Lectures

Williams
MWF 2:10 - 3:15
(x-hour) Th 1:20 - 2:10
004 Kemeny

We will meet in our x-hour only to make up missed lectures or other unusal situations. This will always be announced well ahead of time. See the announcements tab.

Instructor

Professor Dana Williams
Office: 305 Kemeny Hall
Office Hours: here
Contact via dana DOT williams AT dartmouth DOT edu.


Exams

There will be a take-home final exam.


Homework Policy

There will be written homework assignments every week or two. Homework assignments can be found under the "HW Assignments" tab above. Your homework solutions should be scanned to PDF and uploaded via gradescope. Please be sure to link each problem to the appropriate page or pages as this makes my grading job much easier. It is likely that not all problems will be graded, but homework solutions will be available to most if not all problems. Using LaTeX is appreciated, but not required.


Grades

Your grade will be based the homework and the final.


The Honor Principle

Collaboration on homework is permitted and encouraged, but obviously it is a violation of the honor code for someone to provide the answers for you. You are expected to write up your own solutions and acknowledge any help you received. On exams, you must work independently with no help from any outside source animate or inanimate. In particular, use of the internet or AI is prohibited.


Special Considerations

Disabilities

Students requesting disability-related accommodations and services for this course are required to register with Student Accessibility Services (SAS; Apply for Services webpage; student.accessibility.services@dartmouth.edu; 1-603-646-9900) and to request that an accommodation email be sent to me in advance of the need for an accommodation. Then, students should schedule a follow-up meeting with me to determine relevant details such as what role SAS or its Testing Center may play in accommodation implementation. This process works best for everyone when completed as early in the quarter as possible. If students have questions about whether they are eligible for accommodations or have concerns about the implementation of their accommodations, they should contact the SAS office. All inquiries and discussions will remain confidential.

Stress and Mental Well-Being

The academic environment at Dartmouth is challenging, our terms are intensive, and classes are not the only demanding part of your life. There are a number of resources available to you on campus to support your wellness, including your undergraduate dean, Counseling and Human Development, and the Student Wellness Center.

Religious Observances

Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with me as soon as possible, or before the end of the second week of the term—at the latest, to discuss appropriate adjustments. Dartmouth has a deep commitment to support students’ religious observances and diverse faith practices.


Dana P. Williams
Last updated March 30, 2025 11:05:12 EDT