MATH2050C - Mathematical Analysis I - 2022/23

Announcement

• 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

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)

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: February 06, 2023 21:56:29