MATH4050 - Real Analysis - 2023/24

Course Name: 
Real Analysis
Teacher: 
Prof. Kung Fu NG
Course Year: 
2023/24
Term: 
2

Announcement

  • Please compile your homework into a SINGLE PDF file and submit through CUHK Blackboard.

General Information

Lecturer

  • Prof. Kung Fu NG
    • Office: LSB 102
    • Tel: 3943 7968
    • Email:

Teaching Assistant

  • Chiu Hong LO
    • Office: LSB 223
    • Tel: 3943 7971
    • Email:
  • Haowen LU
    • Office: 505 AB1
    • Tel: 394 34298
    • Email:

Time and Venue

  • Lecture: Wed (08:30am - 10:15am) BMS G18 LSB LT1; Fri (08:30am - 10:15am) BMS G18 LSB LT3
  • Tutorial: Fri (10:30am - 11:15am) BMS G18 (no change)

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

  • H.L. Royden, Real Analysis

References

  • W. Rudin, Real and Complex Analysis
  • KF Ng, 4050 Lecture Notes in UL (in Ref Desk)
  • KF Ng, 4050 Lecture Notes (typed by H L Lee)
  • KF Ng, 4050 Lecture Notes (typed by XF Zhang after each lecture in 2022-23, Overleaf)

Assignments


Quizzes and Exams

  • first test to be held on Friday 23 Feb (or on Wed 21

Assessment Scheme

Test(s) and Hw 30%
Mid-Term Exam(s)  30%
Final 40%

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: March 20, 2024 16:42:24