MATH2050C - Mathematical Analysis I - 2021/22

Course Name: 
Mathematical Analysis I
Teacher: 
Prof. Martin Man Chun LI
Course Year: 
2021/22
Term: 
2

Announcement

  • The centralized online final exam will take place on May 5, 2022 (Thursday) from 12:30-2:30PM. Please refer to the email that has been sent to you for further details. If you have any questions, please let me know as soon as possible.
  • Problem Set 12 (the last one!) is posted and due on Apr 22.
  • You should have received a link to the online CTE survey. Please complete the course evaluation during the period 8:30AM April 12 - 11:59PM April 14.
  • Note that April 4-8 is the reading week of Term 2. There will be NO lectures or tutorials during this period..
  • Problem Set 11 is posted and due on Apr 15.
  • Problem Set 10 is posted and due on Apr 1.
  • Statistics for midterm are as follow: Full Mark=70, Mean=55.4, SD=10.7, Highest=70. The graded midterm has been sent back to you individually by email. Please check and let me know if you have any questions. [Suggested solutions have been posted on Blackboard.]
  • Problem Set 9 is posted and due on Mar 25.
  • Problem Set 8 is posted and due on Mar 18.
  • Problem Set 7 is posted and due on Mar 11.
  • The midterm will take place as an online take-home test (open book and notes) on March 3, 2022, from 8:30AM-10:00AM. It covers all the topics in Lecture Notes 1-11 up to textbook Section 3.3 inclusively. Please find more details in the follow-up email.
  • Problem Set 6 is posted and due on Mar 4.
  • Problem Set 5 is posted and due on Feb 25.
  • Problem Set 4 is posted and due on Feb 18.
  • Problem Set 3 is posted and due on Feb 11 after the Chinese New Year holiday..
  • The classroom for lecture AND tutorial on Thursdays has been changed to LSK LT3 effective now when face-to-face teaching is resumed.
  • Latest 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 (for lecture videos, homework submission and other course materials).
    • 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: 976-4346-9211
      • Tutorial ID: 991-8006-0245
      Alternatively, you can also click on the corresponding links under the "Useful Links" section below. The passwords should have been sent to your via email (please email me if you have not received them). Lectures will be recorded and uploaded to Blackboard in a folder under “Panopto Video”.
    • 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.
  • Quiz 1 will take place in class on Jan 25. [Cancelled]
  • Problem Set 2 is posted and due on Jan 28.
  • Problem Set 1 is posted and due on Jan 21.
  • There is no tutorial in the first week of class. The first lecture will be on Jan 11, 2022.

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; Fri 2:30-3:30PM (or by appointment)
  • WANG Gaoming
    • Office: LSB 222A
    • Tel: 3943-3575
    • Email:
    • Office Hours: Thur 2:00-4:00PM (or by appointment)

Time and Venue

  • Lecture: Tue 8:30-10:15AM at LHC G04; Thur 9:30-10:15AM at SC LG23
  • Tutorial: Thur 8:30-9:15AM at SC LG23

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


Tutorial Notes


Assignments


Assessment Scheme

Assignments, quizzes and classworks 15%
Midterm 35%
Final Exam 50%

Useful Links


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 21, 2022 10:31:12