MATH4050 - Real Analysis - 2017/18
Announcement
- Starting from the very first week and until further notice, we shall meet four periods per week (W1-2, F1-2). Please reserve W1-2 and F1-2 throughout the entire term for either main lectures or tests/mid-term exam or ‘special tutorials’.
- The lecture notes can be borrowed from the reference desk of the UL (at the ground floor entrance).
- test to be held on Fri 9th Feb
- 2nd test to be held on Wed 28th Feb
- mid-Term TENTATIVELY on 4/4 (or 6/4)
General Information
Lecturer
-
Prof. Kung Fu NG
- Office: LSB 102
- Tel: 3943-7968
- Email:
Teaching Assistant
-
Mr. Tin Yau TSANG
- Office: 505 AB1
- Tel: 3943 4298
- Email:
-
Lee Man Chun
- Office: LSB 222A
- Tel: 3943 3575
- Email:
Time and Venue
- Lecture: We 9:30AM - 10:15AM, LSB C1; Fr 8:30AM - 10:15AM, LSB C1
- Tutorial: W5, L5 SC; F3, C3 LSB. (Attend one of them only)
Course Description
This is an introductory course on the Lebesgue integration theory on real line. Topics include: measurable sets, measurable functions, Lebesgue integral, Fatou's lemma, monotone convergence theorem, Lebesgue dominated convergence theorem and differentiation. Students taking this course are expected to have knowledge in elementary analysis.
Textbooks
- real Analysis by H.L. Royden
References
- Real and Complex Analysis by W. Rudin.
Lecture Notes
- Prop 8, 9
- outer measure
- measurable sets form an alg
- Riemann integral- equivalences
- Monotone Conv without Fatou
Class Notes
Assignments
- Deadline: 22 January at 5pm for Q7,8,9
- Deadline: 29 January at 5pm: Q1,3,5,7
- Deadline: 12 February at 5pm: Q1,2,3
- Deadline: 1 March at 5pm (only * questions to be marked)
- Deadline: 1 March at 5pm: Q1, 2
- Deadline: 12 March at 5pm: Q1, 2, 3
- Deadline: 21 March at 5pm
- Deadline: 28 March: Re-do Q4 of Hw6 but modify each f_n so has additional property that takes zero value outside a finite interval
Solutions
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: July 10, 2018 15:55:02