Fall 2016, Math 810, Graduate Real Analysis

Course Information

This course introduces some topics in real analysis at the graduate level. We will use the book by G. Folland, "Real Analysis, modern techniques and their applications". We tentatively plan to cover Chapter 1, 2, 3. If time permits, we will discuss some topics in Chapter 5 and 6.

• Time: MWF 10:00 --- 10:50 AM
• Location: Snow Hall 564
• Instructor: Shuanglin Shao
• Office: Snow Hall 615
• Email: slshao@ku.edu
• Office Hour: MWF: 2:00 --- 3:00 PM, or by appointment.

Miscellaneous

There will be take-home final in this course, which is due by Dec. 16, 2016. There are 10 homework assignments throughout the course.

Homework

• HW 1. (Due by 09/07/2016) Chapter 1. #1, #4, #5, #7, #10, #14.
• HW 2.(Due by 09/14/2016) Chapter 1. #17, #18, #24.
• HW 3.(Due by 09/28/2016) Chapter 1. #26, #29, #30,#31.
• HW 4.(Due by 10/12/2016) Chapter 2. #2,#3,#9,#11,#12,#14,#15.
• HW 5.(Due by 10/21/2016)Chapter 2. #19,#20,#21,#25,#32,#34,#40,#44.
• HW 6.(Due by 11/02/2016)Chapter 2. #46,#47,#48,#50.
• HW 7.(Due by 11/14/2016)Chapter 2. #53,#55,#59; Chapter 3. #2,#3.
• HW 8. (Due by 11/21/2016 ) Chapter 3. #8,#9,#13,#19,#20.
• HW 9.(Due by 12/02/2016) Chapter 6. #2(a)(d) in Theorem 6.8. #4,#5,#9,#10,#17.
• HW 10. (Due by 12/07/2016) Chapter 6. #28,#31,#32.

Take-Home Final

The exam is due by 12/16/2016. Books and notes are permitted. You can discuss it with your classmates. But you have to write it out in your own language.  

• Chapter 1. #10, #17,#26;
• Chapter 2. #15,#25,#50,#59;
• Chapter 3. #8.
• Chapter 6. #9,#32.