MATH2050C - Mathematical Analysis I - 2019/20

Course Year: 
2019/20
Term: 
2

Announcement

  • From Feb 26 onwards, you can submit your completed classwork problems on Blackboard (the same way as for homework). Our TAs will give comments to your submissions.
  • Problem Set 4 is posted and the due date is Feb 28 (Fri).
  • The revised due date of Problem Set 3 is Feb 21 (Friday). Please try to submit your assignment through Blackboard well ahead of the due time so as to avoid possible delay caused by technical issues. Your submitted assignments will be marked with comments online through blackboard. You may also check your scores for problem sets under "My Grades".
  • Special announcement on the course arrangements:
    • To reduce the risk of spreading the novel coronavirus, the university has announced to provide online teaching starting from 17 February 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 and appointments); (iii) Blackboard (for lecture videos, homework submission and Q&A).
    • 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 (Wed 9:30-10:15AM) ID: 261-527-914 Password: 418352
      • Lecture (Fri 9:30-11:15AM) ID: 515-260-839 Password: 951964
      • Tutorial (Wed 8:30-9:15AM) ID: 862-987-175 Password: 655622
      Alternatively, you can also click on the corresponding links under the "Useful Links" section below (using the same passwords as above). Please try your best to get familiar with various built-in functions (especially “Raise Hand”, “Chat” and “Private Message” functions) in ZOOM. Lectures will be recorded and uploaded to Blackboard in a folder under “Panopto Video”.
    • For homework assignments, please do NOT come to campus to submit your completed assignments. Instead, 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.
    • We will suspend the rest of the quizzes. A new midterm date (likely in late March til mid April) will be announced later when the situation becomes clearer. The assessment scheme will be revised accordingly pending approval from the Department Chair.
    • If you have any questions, you can stay in the ZOOM meeting after class or you can email me to set up an appointment for a future ZOOM meeting. You are also highly encouraged to use the "Discussion Board" in Blackboard as well. Anyone of you are welcomed to ask and answer questions posted there, I will be regularly checking and replying some of the posts myself as well.
  • If you are 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.
  • Quiz 1 will take place on Jan 22 (Wed) in class. It will cover topics from Section 2.1, 2.2 and 2.3.
  • Problem Set 2 is posted and the due date is Jan 22 (Wed) at 9:15AM.
  • Problem Set 1 is posted and the due date is Jan 15 (Wed) at 9:15AM.
  • There is no tutorial in the first week. The first lecture will be on Jan 8 (Wed) from 9:30 to 10:15am at LPN LT.

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: Wed 2:30-4:30PM
  • WANG Gaoming
    • Office: LSB 222A
    • Tel: 3943-3575
    • Email:
    • Office Hours: Tue 2:00-4:00PM

Time and Venue

  • Lecture: Wed 9:30-10:15AM at LPN LT; Fri 9:30-11:15AM at LSB LT3
  • Tutorial: Wed 8:30-9:15AM at LPN LT

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


Tutorial Notes


Assignments


Solutions


Assessment Scheme

Assignments and Quizzes 20%
Midterm (TBA) 35%
Final Examination 45%

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: February 25, 2020 22:44:42