MATH2050B  Mathematical Analysis I  2023/24
Announcement
 The Final Exam will cover everything, i.e. Lecture Notes L117 (except L18) and Problem Sets 110.
 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 4:30PM6:15PM. It covers all the topics in Lecture Notes L8L14 (and Problem Sets 58) 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 4:30PM6:15PM. It covers all the topics in Lecture Notes L1L7 (and Problem Sets 14) 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 Manchun Martin
 Office: LSB 236
 Tel: 39431851
 Email:
 Office Hours: By appointment
Teaching Assistant

LO Chiu Hong
 Office: LSB 223
 Tel: 39437955
 Email:
 Office Hours: Monday and Thursday 4:30pm  5:30pm

ZHANG, Zhiwen
 Office: LSB 232
 Tel: 39435294
 Email:
 Office Hours: Tuesday 2:305:30pm
Time and Venue
 Lecture: Wed 4:30PM6:15PM and Thur 3:30PM4:15PM at LHC G04
 Tutorial: Thur 2:30PM3:15PM 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, BolzanoWeierstrass; limits of functions, continuous functions, uniform continuity.
Textbooks
 "Introduction to Real Analysis" (4th edition) by R.G. Bartle and D.R. Sherbert, JohnWiley and Sons, NY, 2011
References
 "Principles of Mathematical Analysis" by W. Rudin, McGrawHill, 1976
Preclass Notes
Lecture Notes
 L1  Introduction and Overview
 L2  Field and order properties of R
 L3  Absolute value and some inequalities
 L4  The completeness property of R
 L5  Consequences of the completeness property
 L6  Intervals
 L7  Limits of Sequences
 L8  Limit Theorems
 L9  Monotone Convergence Theorem
 L10  Subsequences and BolzanoWeierstrass Theorem
 L11  Subsequential Limits, limsup & liminf
 L12  Cauchy sequences
 L13  Limit of functions
 L14  Limit theorems for functions
 L15  Continuity of functions
 L16  Continuous functions on intervals
 L17  Uniform continuity
 L18  Monotone and inverse functions (optional)
 Notes for review
Assignments
 Problem Set 0 (no need to hand in)
 Problem Set 1 (due on Sep 15)
 Problem Set 2 (due on Sep 22)
 Problem Set 3 (due on Sep 29)
 Problem Set 4 (due on Oct 6)
 Problem Set 5 (due on Oct 20)
 Problem Set 6 (due on Oct 27)
 Problem Set 7 (due on Nov 3)
 Problem Set 8 (due on Nov 10)
 Problem Set 9 (due on Nov 24)
 Problem Set 10 (due on Dec 1)
Assessment Scheme
Assignments and quizzes  10%  
Two inclass midterms (Oct 11 and Nov 15, 4:30PM6:00PM)  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