MATH4050 - Real Analysis - 2016/17

Announcement

• first week will have SIX lectures [Download file]
• The first test will be held on 10 Feb (F1-2)

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General Information

Lecturer

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

Teaching Assistant

• Lo Chiu Hong
  • Office: LSB 222A
  • Tel: 3943 3575
  • Email:
• Lee Man Chun
  • Office: LSB 222A
  • Tel: 3943 3575
  • Email:

Time and Venue

• Lecture: W1-2, F1-2 (C1)
• Tutorial: W3 (C5), F6 (C1)

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

• [a,b] is replaced by not nece bounded E for 2nd principle
• Corollaries of Littlewood Principles (typo)
• Sections 4.1&4.2
• 4.3&4.4
• more details for the proof of Vitali
• Proofs for Th 1 and 2 and also 2 runners

Tutorial Notes

• week 2
• week 3
• week 4
• correction on 1/3 and 3/3
• week 8
• week 9
• week 10
• week 11
• week 12
• week 13

Assignments

• Deadline: 18 January at 5pm
• Deadline: 26 January at 5pm
• Deadline: 3 February at 5pm
• Deadline: 27 February at 5pm (Typos corrected)
• Q1,2,5,6,8 Deadline:10March at 5pm
• Q3,4 Deadline: 22March at 5pm
• Q4 Deadline 22March at 5pm

Quizzes and Exams

• test1 suggested solution
• midterm question paper

Solutions

• Solution 1
• Solution 2
• Solution 3 (#1 revised) (#2, 3 revised)
• Solution 4
• solution 5
• solution 6

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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Last updated: April 21, 2017 14:50:17