Math 240B, Winter 2022

Real Analysis II

## Announcements:

## Course Information

Real Analysis II

- Jan. 6: Classes will be remote until at least Monday Jan. 31

- Jan. 1: Following university policy, the first two weeks of class will be remote.

Lecture: Pre-recorded lectures are available at https://learn.evt.ai/. Also see the Lecture Notes.

Coronavirus Considerations: Lectures will be recorded and available online, and office hours will be available both in-person and over Zoom. So if you are feeling ill or have been exposed to COVID19, then you are encouraged to not come to class or office hours. Additionally, if I ever feel sick or have been exposed, then classes will occur remotely over Zoom until it is safe for me to return to campus.

Professor: Brandon Seward (pronouns: he/him or they/them)

Email: bseward@ucsd.edu

Office Hours: MWF 11:00 - 11:50 AM at Zoom ID 967 0420 1807 (https://ucsd.zoom.us/j/96704201807)

TA and Grader: Qingyuan Chen

Email: qic069@ucsd.edu

Office Hours: Thurs. 5:00 - 7:00 pm at Zoom ID 964 2787 7552 (https://ucsd.zoom.us/j/96427877552)

Course Description: Second course in a three-quarter graduate sequence on real analysis. Topics covered include point set topology, functional analysis, L^p spaces, and Radon measures.

Prerequisites: Math 240A and Math 140ABC or equivalent

Textbook: Real Analysis: Modern Techniques and Applications by Gerald B. Folland, 2nd edition. We will cover most of Chapters 4 through 7.

Textbook Errata: See Folland's homepage

Homework: Homework will be assigned most weeks and due on Fridays by midnight. We will use Gradescope for turning in homework. When registering for gradescope, please register using your "@ucsd.edu" email address and use Entry Code 6P4K5Z.

Homework 1 (due Fri. Jan. 14): Ch. 5 problems 2, 3, 6, 12(abcd), 17, 18 and Ch. 6 problem 5

Homework 2 (due Fri. Jan. 21): Ch. 5 problem 7 and Ch. 6 problems 2, 7, 8, 11, 13, 15 (in #13, "separable" means there exists a countable dense subset)

Homework 3 (due Fri. Jan. 28):

Homework 4 (due Fri. Feb. 11):

Homework 5 (due Fri. Feb. 18):

Homework 6 (due Fri. Feb. 25):

Homework 7 (due Fri. March 4):

Homework 8 (due Fri. March 11):

Exams: There will be one midterm and one final exam.

## Course Schedule (items in gray are tentative)

Coronavirus Considerations: Lectures will be recorded and available online, and office hours will be available both in-person and over Zoom. So if you are feeling ill or have been exposed to COVID19, then you are encouraged to not come to class or office hours. Additionally, if I ever feel sick or have been exposed, then classes will occur remotely over Zoom until it is safe for me to return to campus.

Professor: Brandon Seward (pronouns: he/him or they/them)

Email: bseward@ucsd.edu

Office Hours: MWF 11:00 - 11:50 AM at Zoom ID 967 0420 1807 (https://ucsd.zoom.us/j/96704201807)

TA and Grader: Qingyuan Chen

Email: qic069@ucsd.edu

Office Hours: Thurs. 5:00 - 7:00 pm at Zoom ID 964 2787 7552 (https://ucsd.zoom.us/j/96427877552)

Course Description: Second course in a three-quarter graduate sequence on real analysis. Topics covered include point set topology, functional analysis, L^p spaces, and Radon measures.

Prerequisites: Math 240A and Math 140ABC or equivalent

Textbook: Real Analysis: Modern Techniques and Applications by Gerald B. Folland, 2nd edition. We will cover most of Chapters 4 through 7.

Textbook Errata: See Folland's homepage

Homework: Homework will be assigned most weeks and due on Fridays by midnight. We will use Gradescope for turning in homework. When registering for gradescope, please register using your "@ucsd.edu" email address and use Entry Code 6P4K5Z.

Homework 1 (due Fri. Jan. 14): Ch. 5 problems 2, 3, 6, 12(abcd), 17, 18 and Ch. 6 problem 5

Homework 2 (due Fri. Jan. 21): Ch. 5 problem 7 and Ch. 6 problems 2, 7, 8, 11, 13, 15 (in #13, "separable" means there exists a countable dense subset)

Homework 3 (due Fri. Jan. 28):

Homework 4 (due Fri. Feb. 11):

Homework 5 (due Fri. Feb. 18):

Homework 6 (due Fri. Feb. 25):

Homework 7 (due Fri. March 4):

Homework 8 (due Fri. March 11):

Exams: There will be one midterm and one final exam.

- Midterm: Friday Feb. 4. Will cover sections 5.1, 5.2, and 6.1 through 6.4. Additional details to be announced.
- Final Exam: Monday March 14 from 11:30 AM to 2:30 PM. Will cover everything learned in the class.