MATH2050B - Mathematical Analysis I - 2022/23

Announcement

• Usually only questions with * in Hw are required to submit
• Homework solution will be posted on Blackboard.

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General Information

Lecturer

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

Teaching Assistant

• Kam Ming LAU
  • Office: LSB 222A
  • Email:
  • Office Hours: Wed 1145-1430
• Chiu Hong LO
  • Office: LSB 228
  • Tel: 3943 7955
  • Email:

Time and Venue

• Lecture: W1-2, LSB LT1; F1-2 LSB LT5
• Tutorial: W3, LSB LT1; F3, LSB LT5

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, elementary set theory, limits of sequences and continuous functions.

Textbooks

• Introduction to Real Analysis, by R.G. Bartle and D.R. Sherbert, John Wiley

Tutorial Notes

• Bartle&Sherbert exercises
• Tutorial 01-real numer properties
• Tutorial 02-supremum&limits 1
• Tutorial 03-supremum&limits 2
• Tutorial 04-limits&limsup 1
• Tutorial 01-04 answers
• Tutorial 05-limits&limsup 2
• Tutorial 06-limsup&series&function limits
• Tutorial 07-function limits1
• Tutorial 05-07 answers
• Tutorial 08-function limits2
• Tutorial 09-continuity&uniformity1
• Tutorial 10-continuity&uniformity2
• Tutorial 11-continuity&uniformity3
• Tutorial 12-continuity&uniformity4
• Tutorial 01-12 more answers

Assignments

• HW1, deadline for * questions : 17th Sept 5pm
• HW2, deadline for * questions : 30th Sept 5pm
• HW3A for * question Deadline: 15 Oct 5pm for Q6,7
• HW3B for * question Deadline: 15 Oct 5pm for Q4,8
• HW4 for * question Deadline: 5 Nov 5pm for Q4,8

Useful Links

• Introduction to Real Analysis, by R.G. Bartle and D.R. Sherbert, John Wiley
• Principles of Mathematical Analysis, by W. Rudin, McGill Hill
• Counterexamples in Analysis, by B. Gelbaum and J. Olmsted

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: November 27, 2022 10:29:28