MATH5011 - Real Analysis I - 2025/26

Announcement

• Here is a course outline of Math5011 [Download file]
• The mid-term exam for Math5011 will be held on Oct 24, 2025 (Friday) at Lee Shau Kee Building (李兆基楼）LT4,   from 18:40pm to 21:10pm. There will be no class in the morning of Oct 17 and Oct 24 

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General Information

Lecturer

• De-Jun Feng
  • Office: LSB 211
  • Tel: 39437965
  • Email:

Teaching Assistant

• Wanjun Xiong
  • Office: LSB 222A
  • Tel: 53013147
  • Email:

Time and Venue

• Lecture: Friday, 9:30am-12:15pm, Lady Shaw Building R222

Course Description

Abstract integration theory; outer measures and Caratheodory’s construction, Borel, Radon and Hausdorff measures; positive linear functionals and Riesz representation theorem; Lp-spaces and their functional properties; and signed measures, Radon Nikodym theorem and the dual of the space of continuous functions.

Lecture Notes

• Typed Lecture Notes for Chap 1
• Typed Lecture Notes for Chap 2
• Typed Lecture Notes for Chap 3
• Typed Lecture Notes for Chap 4
• Typed Lecture Notes for Chap 5

Class Notes

• Handwriting notes on Sep 5
• Handwriting notes on Sep 12
• Handwriting notes on Sep 19
• Handwriting notes on Sep 26
• Handwriting notes on Oct 03
• Handwriting notes on Oct 10
• Handwriting notes on Oct 31
• Handwriting notes on Nov 7
• Handwriting notes on Nov 14
• Handwriting notes on Nov 21
• Handwriting notes on Nov 28

Assignments

• Students are expected to complete the assignments independently, without any collaboration or use of AI tools.  You must upload the answers in a PDF file to Blackboard (only handwritten answers on papers or electronic devices will be accepted).  Mark deduction will be made for late submission.
• Assignment 1 (Due Date: Sep 12, 2025)
• Assignment 2 (Due Date: Sep 19, 2025)
• Assignment 3 (Due Date: Sep 26, 2025)
• Assignment 4 (Due Date: Oct 3, 2025)
• Assignment 5 (Due Date: Oct 10, 2025)
• Assignment 6 (Due Date: Oct 17, 2025)
• Assignment 7 (Due Date: Oct 31, 2025)
• Assignment 8 (Due Date: Nov 21, 2025)
• Assignment 9 (Due Date: Nov 28, 2025)
• Assignment 10 (Due Date: Dec 3, 2025)

Solutions

• Solution 1
• Solution 2
• Solution 3
• Solution 4
• Solution 5
• Solution 6
• Solution 7
• Midterm Solution
• Solution 8
• Solution 9

Assessment Scheme

Assignments		10%
Mid-term Exam		45%
Final Exam		45%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.

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Assessment Policy

Last updated: November 28, 2025 17:37:36