MATH3060 - Mathematical Analysis III - 2014/15

Announcement

• Course Outline [Download file]
• Assignment 1: Hand in 1, 3(a), (c) and 5 by September 8
• The correct date of midterm is October 15 (WED)
• Assignment 2: Hand in 3, 5, 7 and 9 by September 17
• Words from Professor [Download file]
• Words from Professor II [Download file]
• Assignment 3: Hand in 1, 4, 6 and 7 by September 24
• Problem 1 in assignment 3 is revised.
• Assignment 4: Hand in 5, 8, 10 and 14 by October 3
• The midterm examination covers 1.1--1.6, 2.1 and 2.2 excluding the optional materials.
• Assignment 5: Hand in 4 and 6 by October 8
• Assignment 6: No need to hand in any problems
• Words from Professor III [Download file]
• Words from Professor IV [Download file]
• Assignment 7: Hand in 1, 5 and 6 by October 22
• Assignment 8: Hand in 1, 3, 5 and 9 by October 29
• Words from Professor: Please come to my office to get your midterm papers in this Friday 10:30-12, 2:30-4:00, next Monday 11:00-12:00, 2:30-4:00 or make appointment with me.
• Assignment 8 revised (Problem 3 revised)
• Assignment 9: Hand in 3, 4, 8 and 13 10 by November 5 (correction)
• Words from Professor V [Download file]
• A special tutorial class will be held on every Saturday (10:30-12:00) from Nov 1 at Rm 222, LSB. Those who did not do well in midterm are encouraged to attend.
• Problem 5 in Assignment 9 is corrected
• Final examination will be held on December 9 (Tue), 17:00-19:00. Venue and coverage will be announced later.
• Assignment 10 (revised) : Hand in 6 ,7, 9 (this question is required) and 10 (modified) by November 10
• Assignment 11: Hand in 4, 6, 7 and 9 by November 17
• Somebody can't take the final exam in the proposed time slot. Now I move the exam to 19:00-21:00 the same day (Dec 9). Please let me know in this week if it is no good for you.
• Words from Professor VI [Download file]
• Assignment 12: Hand in 1, 3 and 4 by November 24
• Details for the final exam:
  Venue: LT2, Lee Shau Kee Building.
  Date: Dec 9 (Tue).
  Time: 19:00-21:00.
  Coverage: 2.2--2.6; 3.1, 3.3 (excluding Prop 3.7), 3.4, 3.5; 4.1, 4.2, 4.3. All optional materials excluded.
• Problem 1 and 3(b) in Assignment 12 are revised.
• One more correction in Assignment 12: #1 f'(0)=1 should be f'(0)=1/2 .
• Ex 12 is revised and the deadline of Ex 12 is extended to Wednesday (Nov 26) after we go over the implicit function theorem on Monday.
• Assignment 13: No need to hand in any problems
• Problem 4 in Ex 12 is revised
• Words from Professor VII [Download file]

---

General Information

Lecturer

• Prof Kai-Seng Chou
  • Office: Rm 237 LSB
  • Tel: 3943 7971
  • Email:

Teaching Assistant

• Mr Chiu-Hong Lo
  • Office: Rm 222A LSB
  • Tel: 3943 3575
  • Email:
  • Office Hours: M, T, W, H 2-3
• Mr Tianwen Luo
  • Office: Rm 614 Academic Building
  • Tel: 3943 4109
  • Email:
  • Office Hours: Mon-Tue-Wed-Thu: 12:45-2:00pm

Time and Venue

• Lecture: M3, LSB C1; W1-2, LSB C1
• Tutorial: M4, LSB C1

References

• Fourier Analysis-An Introduction, E.M. Stein and R. Shakarchi, Princeton Lectures in Analysis, Princeton 2002.
• Foundations of Modern Analysis, J. Dieudonne, New York 1969.
• Advanced Calculus, 2nd ed., P.M. Fitzpatrick, Thomson Brooks/Cole, 2006.

Lecture Notes

• Chapter 1 Fourier Series (completely revised)
• Chapter 2 Metric Spaces (finalized)
• Chapter 3 Continuous Functions (finalized)
• Chapter 4 Inverse Function Theorem (More details have been added in the finalized version)

Tutorial Notes

• Tutorial 11 (Nov 17)

Assignments

• Assignment 1: Hand in 1, 3(a), (c) and 5 (due date: SEP 8, 2014)
• Assignment 2: Hand in 3, 5, 7 and 9 (due date: SEP 17, 2014)
• Assignment 3 (revised): Hand in 1, 4, 6 and 7 (due date: SEP 24, 2014)
• Assignment 4: Hand in 5, 8, 10 and 14 (due date: OCT 3, 2014)
• Assignment 5: Hand in 4 and 6 (due date: OCT 8, 2014)
• Assignment 6: No need to hand in any problems
• Assignment 7: Hand in 1, 5 and 6 (due date: OCT 22, 2014)
• Assignment 8: Hand in 1, 3, 5 and 9 (due date: OCT 29, 2014)
• Assignment 9: Hand in 3, 4, 8 and 13 10 (due date: NOV 5, 2014)
• Assignment 10 (revised): Hand in 6, 7, 9 and 10 (modified) (due date: NOV 10, 2014)
• Assignment 11: Hand in 4, 6, 7 and 9 (due date: NOV 17,2014)
• Assignment 12: Hand in 1, 3 and 4 (due date: NOV 26, 2014) (revised on 26/11)
• Assignment 13: No need to hand in any problems

Solutions

• Solution 1
• Solution 2
• Solution 3
• Solution 4
• Solution 5
• Midterm solution
• Solution 6
• Solution 7 (solution to # 8 added)
• Solution 8
• Solution 9 (#3 filled in more details)
• Solution 10
• Solution 11 (#9 revised again)
• Solution 12
• Solution 13
• Final Exam Solution

Assessment Scheme

Assignments		10%
Midterm Examination (October 16, 2014) (October 15 (WED), 2014)		45%
Final Examination (Dec 9, 19:00-21:00)		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.

---

Last updated: January 02, 2015 10:40:00