MATH2060C - Mathematical Analysis II - 2025/26
Announcement
- Concerning "Use of AI Tools", this course adopts, by default, the "Approach 1 - Prohibit all use of AI tools". Since there is no method to ensure no one uses AI tools in homework, homework will not be counted towards the final grades. Instead, 4 coursework, each with a couple of questions, during scheduled tutorial sessions (see below) will be counted 10% towards the final grades. (Suggested problems will be provided before each coursework session for study proposes.)
- All coursework and midterm will be graded online using the Gradescope system. The link of the Gradescope system can be found in the Blackboard system.
- The following arrangement at the end of the coursework sessions and the midterm will be implemented: 1. Stop writing when "pen-down" is announced by the instructor. 2. Use your "smartphone" to capture images of all the (non-empty) pages of your answers when instructed by the instructor. 3. Then convert the images of your answers into a pdf file. 4. Submit the pdf file of your answers into the "Classwork" or "Midterm" in the Gradescope system. (You will have around 15 minutes for steps 3-5.) 5. Submit your answer book to the instructor.
- Midterm and Final exams are traditional closed book exams. Coursework is open book in the sense that hard copies of lecture notes/reference books and even discussions among classmates reference books are allowed, but no computers, smart devices or internet (including AI) tools.
- No tutorial in the 1st week
General Information
Lecturer
-
Prof. Renjun DUAN
- Office: LSB 206
- Tel: 39437977
- Email:
Teaching Assistant
-
Ms. Song WANG
- Office: LSB 232
- Tel: 39435294
- Email:
- Office Hours: Mon 11-12am
-
Mr. Jiawei XU
- Office: LSB 232
- Tel: 39435294
- Email:
- Office Hours: Fri 10-11am
-
Mr. Haowei QI
- Office: LSB 232
- Tel: 39435294
- Email:
- Office Hours: Thu 10:30-11:30am
-
Mr. Haowen Lu
- Office: LSB G05
- Email:
- Office Hours: Thu 11:00am-12:00noon
Time and Venue
- Lecture: Mo 4:30PM - 6:15PM, Mong Man Wai Bldg 702; We 2:30PM - 3:15PM, Science Centre L5
- Tutorial: We 3:30PM - 4:15PM, Science Centre L5
Course Description
This is a continuation of MATH2050. Topics include: differentiability, Riemann integrals, series, sequences and series of functions, and uniform convergence.
Textbooks
- R.G. Bartle and D.R. Sherbert, Introduction to real analysis, 4th ed, Wiley, (Chapters 6-9 only)
References
- W. Rudin, Principles of Mathematical Analysis, McGraw Hill
Lecture Notes
- Topic 01: Derivative
- Topic 02: Mean Value Theorem
- Topic 03: L'Hospital's Rules
- Topic 04: Taylor's Theorem
- Topic 05: Riemann Integral
- Topic 06: Riemann Integrable Functions
- Topic 07: Fundamental Theorem of Calculus
- Topic 08: Darboux Integral
- Topic 09: Pointwise and Uniform Convergence
- Topic 10: Interchange of Limits
- Topic 11: Exponential and Logarithmic Functions
- Topic 12: Trigonometric Functions
- Topic 13: Absolute Convergence
- Topic 14: Tests for Absolute Convergence
- Topic 15: Tests for Non-Absolute Convergence
- Topic 16: Series of Functions
- Review (the same as Session B)
Class Notes
Assessment Scheme
| Coursework (in tutorials, Jan 21, Feb 4, Mar 25 and Apr 8) | 10% | |
| Mid-term (Mar 10, 2026 , 7:00-8:30pm, MMW LT2, Common to both sections) | 40% | |
| Final (TBA by University) | 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 08, 2026 13:28:34