MATH2050C  Mathematical Analysis I  2020/21
Announcement
 The date and time of the takehome final has been fixed: May 4, 6PM  May 5, 6PM.
 Problem Set 11 is posted and due on Apr 16 (Fri).
 The online course and teaching evaluation (OCTE) will be available from Apr 13, 8:30AM. Please be reminded to submit your answers by Apr 14, 10:15AM.
 Statistics for midterm are as follow: Full Mark=70, Mean=54.5, SD=12.9, Highest=69. The graded midterm has been sent back to you individually by email. Please check and let me know if you have any questions.
 Problem Set 10 is posted and due on Apr 9 (Fri). Note that there is no class on Mar 30 and Apr 1 (Reading week) and Apr 6 (Easter). Lecture and tutorial will resume on Apr 8.
 Problem Set 9 is posted and due on Mar 26 (Fri).
 Midterm update: Question 3 in the test is cancelled. You DO NOT need to submit your answer to Question 3.
 Problem Set 8 is posted and due on Mar 19 (Fri).
 Problem Set 7 is posted and due on Mar 16 (Tue)  note special due date.
 Midterm will be conducted online using "Blackboard" as a "takehome midterm" with 24 hours limit. It will be available on March 11, 2021 at 6:00pm and the deadline for submission (via "Blackboard") is March 12, 2021 at 6:00pm.
 It will cover topics in Chapter 23.4 of the textbook (except binary/decimal representations), which correspond to Lecture Notes 113.
 Your submitted solution will be checked carefully to avoid plagiarism. Discussions amongst classmates are strictly prohibited.
 Please note that some of you may be chosen to attend an oral interview (either online or in person) to explain his/her answers to the final exam and possibly answer additional questions from the instructor. If a student fails to demonstrate sufficient understanding of his/her own answers, there will be severe penalty towards his/her course grade.
 The midterm will be openbook and opennotes (allowing search on internet), but it has to be done absolutely by yourself without asking others in any format.
 Problem Set 6 is posted and due on Mar 5 (Fri).
 Problem Set 5 is posted and due on Feb 26 (Fri).
 Note that there is no lecture/tutorial on Feb 11 (Thur) and Feb 16 (Tue) due to Chinese New Year holidays.
 Problem Set 4 is posted and due on Feb 19 (Fri), i.e. in two weeks.
 Problem Set 3 is posted and due on Feb 5 (Fri).
 Problem Set 2 is posted and due on Jan 29 (Fri).
 The date and time of the midterm has been confirmed (please refer to "Assessment Scheme" below).
 Problem Set 1 is posted and the due date is Jan 22 at 6PM. Please submit your completed assignment via Blackboard (if your course enrolment is still pending approval, please email me with your SID so that I can manually add you into the system on Blackboard.)
 There is no tutorial in the first week. The first lecture will be on Jan 12 (Tue) from 8:30 to 10:15am. If you are not yet official registered on CUSIS or a student sitting in this course, please send me an email to let me know so that I can keep you updated about the course via emails (and send you the ZOOM passcodes).
 General course arrangements:
 In view of the current pandemic situation, this course will be 100% online until further notice. Please keep checking the course webpage for any new updates about the course. We will be using a combination of (i) Course Webpage (for course materials); (ii) ZOOM (for lectures/tutorials and appointments); (iii) Blackboard/Gradescope (for lecture videos, homework/tests submission).
 Each lecture and tutorial will be a ZOOM "Meeting" hosted by the instructor and/or TAs, taking place during the same time as they have normally been scheduled. The particulars of the meetings are as follow:
 Lecture ID: 95819963691
 Tutorial ID: 93192148830
 For homework assignments, you can either type up your assignment or scan a copy of your written assignment into ONE PDF file and submit through CUHK Blackboard on/before the due date. Please remember to write down your name and student ID. You can refer to the webpage under "Useful Links" below about how to submit assignments through Blackboard.
 If you have any questions, you can stay in the ZOOM meeting after class or you can email me or the TAs to set up an appointment for a future ZOOM meeting.
General Information
Lecturer

LI, Manchun Martin
 Office: LSB 236
 Tel: 39431851
 Email:
 Office Hours: By appointment
Teaching Assistant

LO Chiu Hong
 Office: LSB 228
 Tel: 39437955
 Email:
 Office Hours: Mon 2:303:30PM; Tue 2:303:30PM (or by appointment)  ZOOM Meeting ID: 98819529513

WANG Gaoming
 Office: LSB 222A
 Tel: 39433575
 Email:
 Office Hours: Tue 1:003:00PM (or by appointment)  ZOOM Meeting ID: 94011521520
Time and Venue
 Lecture: Tue 8:3010:15AM; Thur 9:3010:15AM (online via ZOOM)
 Tutorial: Thur 8:309:15AM (online via ZOOM)
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
 Lecture 1 on Jan 12
 Lecture 2 on Jan 14
 Lecture 3 on Jan 19
 Lecture 4 on Jan 21
 Lecture 5 on Jan 26
 Lecture 6 on Jan 28
 Lecture 7 on Feb 2
 Lecture 8 on Feb 4
 Lecture 9 on Feb 9
 Lecture 10 on Feb 18
 Lecture 11 on Feb 23
 Lecture 12 on Feb 25
 Lecture 13 on Mar 2
 Lecture 14 on Mar 4
 Lecture 15 on Mar 9
 Lecture 16 on Mar 11
 Lecture 17 on Mar 16
 Lecture 18 on Mar 18
 Lecture 19 on Mar 23
 Lecture 20 on Mar 25
 Lecture 21 on Apr 8
Tutorial Notes
 Tutorial notes 1 (Jan 21)
 Tutorial notes 2 (Jan 28)
 Tutorial notes 3 (Feb 4)
 Tutorial notes 4 (Feb 18)
 Tutorial notes 5 (Feb 25)
 Tutorial notes 6 (Mar 4)
 Tutorial notes 7 (Mar 11)
 Tutorial notes 8 (Mar 18)
 Tutorial notes 9 (Mar 25)
 Tutorial notes 10 (Apr 8)
Assignments
 Problem Set 0 (no need to hand in)
 Problem Set 1 (due on Jan 22)
 Problem Set 2 (due on Jan 29)
 Problem Set 3 (due on Feb 5)
 Problem Set 4 (due on Feb 19), revised on Feb 4
 Problem Set 5 (due on Feb 26)
 Problem Set 6 (due on Mar 5)
 Problem Set 7 (due on Mar 16)  note special due date
 Problem Set 8 (due on Mar 19)
 Problem Set 9 (due on Mar 26)
 Problem Set 10 (due on Apr 9)
 Problem Set 11 (due on Apr 16)
Solutions
 Solution to Problem Set 1
 Solution to Problem Set 2
 Solution to Problem Set 3
 Solution to Problem Set 4
 Solution to Problem Set 5
 Solution to Problem Set 6
 Solution to Problem Set 7
 Solution to Problem Set 8
 Solution to Problem Set 9
 Solution to Problem Set 10
 Classwork 1 solutions
 Classwork 2 solutions
 Classwork 3 solutions
 Classwork 4 solutions
 Classwork 5 solutions
 Classwork 6 solutions
 Classwork 7 solutions
 Classwork 8 solutions
 Classwork 9 solutions
 Classwork 10 solutions
 Solution to Midterm
Assessment Scheme
Homework Assignments  10%  
Midterm (Mar 11, 6PM  Mar 12, 6PM)  40%  
Final Exam (May 4, 6PM  May 5, 6PM)  50% 
Useful Links
 How to submit assignments through CUHK Blackboard
 Link to ZOOM meeting for Lectures
 Link to ZOOM meeting for Tutorials
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: April 09, 2021 09:36:36