MATH2050C - Mathematical Analysis I - 2022/23

Announcement

• The last Problem Set 12 is posted and due on Apr 21.
• Problem Set 11 is posted and due on Apr 14.
• Quiz 4 will take place in class on Apr 6, covering topics about continuity of functions..
• Problem Set 10 is posted and due on Apr 7.
• Problem Set 9 is posted and due on Mar 31.
• Quiz 3 will take place in class on Mar 23.
• The statistics for midterm is as follow: mean=52.2, median=54.5, standard deviation=15.9. A suggested solution has been uploaded to Blackboard.
• Problem Set 8 is posted and due on Mar 24.
• Problem Set 7 is posted and due after the reading week on Mar 17.
• The midterm will take place in class on March 2, 2023, from 4:30PM-6:15PM. It covers all the topics in Lecture Notes 1-11 up to textbook Section 3.3 inclusively.
• Problem Set 6 is posted and due on Mar 3.
• Problem Set 5 is posted and due on Feb 24.
• Quiz 2 will take place in class on Feb 16, covering topics up to lecture on Feb 9.
• Problem Set 4 is posted and due on Feb 17.
• Problem Set 3 is posted and due on Feb 10.
• Quiz 1 will take place in class on Feb 2.
• Problem Set 2 is posted and due on Feb 3.
• Problem Set 1 is posted and due on Jan 20.
• There is no tutorial in the first week of class. The first lecture will be on Jan 10, 2023. You are highly encouraged to go through Problem Set 0 for revision of some background topics which are needed for this course but not going to be covered in lectures.

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General Information

Lecturer

• LI Man-chun Martin
  • Office: LSB 236
  • Tel: 3943-1851
  • Email:
  • Office Hours: By appointment

Teaching Assistant

• LO Chiu Hong
  • Office: LSB 228
  • Tel: 3943-7955
  • Email:
  • Office Hours: Mon 2:30-3:30PM, Wed 2:30-3:30PM (or by appointment)
• IU Liu Yin
  • Office: AB1 407A
  • Tel: 3943-3721
  • Email:
  • Office Hours: Thur 2:00-4:00PM (or by appointment)

Time and Venue

• Lecture: Tue 4:30-6:15PM and Thur 4:30-5:15PM at LHC G04
• Tutorial: Thur 5:30-6:15PM at LHC G04

Course Description

This course is intended to provide conceptual understanding in the theory of functions of one variable. Topics include: real numbers, real valued functions, set notations; limits of sequences, convergence, Bolzano-Weierstrass; limits of functions, continuous functions, uniform continuity.

Textbooks

• "Introduction to Real Analysis" (4th edition) by R.G. Bartle and D.R. Sherbert, John-Wiley and Sons, NY, 2011

References

• "Principles of Mathematical Analysis" by W. Rudin, McGraw-Hill, 1976

Pre-class Notes

• Course outline

Lecture Notes

• Lecture 1 on Jan 10
• Lecture 2 on Jan 12
• Lecture 3 on Jan 17
• Lecture 4 on Jan 19
• Lecture 5 on Jan 31
• Lecture 6 on Feb 2
• Lecture 7 on Feb 7
• Lecture 8 on Feb 9
• Lecture 9 on Feb 14
• Lecture 10 on Feb 16
• Lecture 11 on Feb 21
• Lecture 12 on Feb 23
• Lecture 13 on Feb 28
• Lecture 14 on Mar 14
• Lecture 15 on Mar 16
• Lecture 16 on Mar 21
• Lecture 17 on Mar 23
• Lecture 18 on Mar 28
• Lecture 19 on Mar 30
• Lecture 20 on Apr 4
• Lecture 21 on Apr 6
• Lecture 22 on Apr 11
• Lecture 23 on Apr 13
• Lecture 24 on Apr 18
• Lecture 25 on Apr 20

Assignments

• Problem Set 0 (no need to hand in)
• Problem Set 1 (due on Jan 20)
• Problem Set 2 (due on Feb 3)
• Problem Set 3 (due on Feb 10)
• Problem Set 4 (due on Feb 17)
• Problem Set 5 (due on Feb 24)
• Problem Set 6 (due on Mar 3)
• Problem Set 7 (due on Mar 17)
• Problem Set 8 (due on Mar 24)
• Problem Set 9 (due on Mar 31)
• Problem Set 10 (due on Apr 7)
• Problem Set 11 (due on Apr 14)
• Problem Set 12 (due on Apr 21)

Assessment Scheme

Assignments, quizzes and classworks		15%
Midterm (Mar 2, 2023 in-class)		35%
Final Exam (centralized, please refer to RES webpage)		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.

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Assessment Policy

Last updated: April 10, 2023 17:20:42