MATH5011  Real Analysis I  2022/23
Announcement
 Here is the course outline [Download file]
 The midterm exam of Math5011 will be held at LSB, LT6 next Friday, Oct 21, 2022, 18:30 pm21:30pm. There will be no lecture in the morning of next Friday (Oct 21).
General Information
Lecturer

DeJun Feng
 Office: LSB, R211
 Tel: 39437965
 Email:
Teaching Assistant

Mr Yuji Li
 Office: Office: LSB 232
 Tel: 39435294
 Email:
 Office Hours: 3pm5pm Mondays
Time and Venue
 Lecture: Fung King Hey Bldg Swire Hall1 (for the first week only); Lady Shaw BLG R222 (starting from the second week)
Course Description
Abstract integration theory; outer measures and Caratheodory's construction, Borel, Radon and Hausdorff measures; positive linear functionals and Riesz representation theorem; Lpspaces and their functional properties; and signed measures, RadonNikodym theorem and the dual of the space of continuous functions.
References
 Real and Complex Analysis, 3rd ed. W. Rudin, McGrawHill, New York 1966.
 Measure Theory and Fine Properties of Functions, L.C. Evans and R.F. Gariepy, CRC Press 1992.
 Real Analysis: Measure Theory, Integration and Hilbert Spaces, E.M. Stein and R. Shakarchi, Princeton Lectures in Analysis, Princeton 2005.
 Real and Abstract Analysis, E. Hewitt and K. Stromberg, Graduate Texts in Mathematics, SpringerVerlag, New York 1975.
Lecture Notes
 Lecture notes (Chap 1)
 Lecture notes (Chap 2)
 Lecture notes (Chap 3)
 Lecture notes (Chap 4)
 Lecture notes (Chap 5)
Assignments
 Assignment 1 (Due date: 2022/09/16)
 Assignment 2 (Due date: 2022/09/25)
 Assignment 3 (Due date: 2022/09/30)
 Assignment 4 (Due date: 2022/10/9)
 Assignment 5 (Due date: 2022/10/14)
 Assignment 6 (Due date: 2022/10/20)
 Assignment 7 (Due date: 2022/11/12)
 Assignment 8 (Due date: 2022/11/19)
 Assignment 9 (Due date: 2022/11/26)
 Assignment 10 (Due date: 2022/12/5)
Solutions
 Assignment 1 Solution
 Assignment 2 Solution
 Assignment 3 Solution
 Assignment 4 Solution
 Assignment 5 Solution
 Assignment 6 Solution
 Midterm Examination Solution
 Assignment 7 Solution
 Assignment 8 Solution
 Assignment 9 Solution
 Assignment 10 Solution
Assessment Scheme
Assignments  10%  
Midterm Exam  40%  
Final Exam  50% 
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.
Assessment Policy Last updated: November 28, 2022 16:55:03