MATH 471

Instructor

Arjun Krishnan

• Office: Hylan 817
• Office Hours: 1.00pm - 2.00pm Thursdays and 11am - 12pm on Fridays in my office, or by appointment.
• Email: arjun.krishnan at rochester dot edu

Teaching Assistant

Nathan Skerret

• Email: nskerret at ur dot rochester dot edu nskerret@ur.rochester.edu
• Office: Hylan 718
• Office Hours: Fridays 3.30pm - 4.30pm

Course description

MTH471 is a graduate-level introduction to measure theory and integration. It is a core course for the Ph.D. program and foundational for more advanced courses in analysis, partial differential equations and probabil- ity. Topics covered will include: Lebesgue measure and integration on the real line; convergence theorems; function spaces; general measure spaces; Radon- Nikodym theorem; Fubini’s theorem. Class attendance is essential.

Class time and place

9:40am - 10.55am Tuesdays and Thursdays in Morey 205.

Textbook

I will use two textbooks, and will pick and choose topics from each.

• Royden and Fitzpatrick, 4th edition (the edition really doesn’t matter too much).
• Axler’s Measure, Integration and Real Analysis open access pdf

Prerequisites

MTH 265, 265H or equivalent.

Grading and Exams

Grading will be based on Homework, a Midterm and a Final.

Homework.

• There will be weekly homework, it will be assigned on Tuesday, and it will be due the following Tuesday in class.
• The first homework will be assigned on Aug 27, and you can find it on this webpage.
• Honesty policy: you may not look up solutions to homework problems on the internet and present them as your own. You may freely discuss homework with each other. But your work must be your own, and you may not copy someone else’s answers.

Midterm: In class, Oct 15, 2024

Final: 12/16 4pm in Hylan 1106A

Disability Support

The University of Rochester respects and welcomes students of all backgrounds and abilities. In the event you encounter any barrier(s) to full participation in this course due to the impact of disability, please contact the Office of Disability Resources. The access coordinators in the Office of Disability Resources can meet with you to discuss the barriers you are experiencing and explain the eligibility process for establishing academic accommodations. You can reach the Office of Disability Resources at: (585)275-9049; 1-154 Dewey Hall. Or, visit Center for Excellence in Teaching and Learning.

To be granted alternate testing accommodations, you must fill out forms with CETL at least seven days before each and every exam. These forms are not sent automatically.