MATH2050B - Mathematical Analysis I - 2023/24

Course Name: 
Mathematical Analysis I
Teacher: 
Prof. Martin Man Chun LI
Course Year: 
2023/24
Term: 
1

Announcement

  • The Final Exam will cover everything, i.e. Lecture Notes L1-17 (except L18) and Problem Sets 1-10.
  • The statistics for midterm 2 are as follow: mean=52.6, median=53, SD=11.9, highest=79.
  • Problem Set 10 (the last one) is posted and due on Dec 1.
  • Problem Set 9 is posted and due on Nov 24.
  • The second midterm will take place in class on Nov 15, 2023, from 4:30PM-6:15PM. It covers all the topics in Lecture Notes L8-L14 (and Problem Sets 5-8) up to textbook Section 4.2 inclusively.
  • Problem Set 8 is posted and due on Nov 10.
  • Quiz 3 will take place in the tutorial on Nov 2, covering topics in 3.4 and 3.5 of the textbook.
  • Problem Set 7 is posted and due on Nov 3.
  • The statistics for midterm 1 are as follow: mean=54.6, median=55, SD=12.6, highest=78.
  • Problem Set 6 is posted and due on Oct 27.
  • Problem Set 5 is posted and due on Oct 20.
  • Quiz 2 will take place in the tutorial on Oct 5, covering topics in 3.1 of the textbook.
  • The first midterm will take place in class on Oct 11, 2023, from 4:30PM-6:15PM. It covers all the topics in Lecture Notes L1-L7 (and Problem Sets 1-4) up to textbook Section 3.1 inclusively.
  • Problem Set 4 is posted and due on Oct 6.
  • Problem Set 3 is posted and due on Sep 29.
  • Quiz 1 will take place in the tutorial on Sep 21, covering topics from 2.1 to 2.4 of the textbook.
  • Problem Set 2 is posted and due on Sep 22.
  • Problem Set 1 is posted and due on Sep 15.
  • There is no tutorial in the first week of class. The first lecture will be on Sep 6, 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.

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 223
    • Tel: 3943-7955
    • Email:
    • Office Hours: Monday and Thursday 4:30pm - 5:30pm
  • ZHANG, Zhiwen
    • Office: LSB 232
    • Tel: 3943-5294
    • Email:
    • Office Hours: Tuesday 2:30-5:30pm

Time and Venue

  • Lecture: Wed 4:30PM-6:15PM and Thur 3:30PM-4:15PM at LHC G04
  • Tutorial: Thur 2:30PM-3:15PM 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


Lecture Notes


Assignments


Assessment Scheme

Assignments and quizzes 10%
Two in-class midterms (Oct 11 and Nov 15, 4:30PM-6:00PM) 40%
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.

Assessment Policy

Last updated: November 25, 2023 19:01:54