MATH2060A - Mathematical Analysis II - 2023/24
Announcement
- Jan 5th: No tutorial in the 1st week. Here is the schedule of the course: [Download file]
- Jan 8th: For any updated information on the course, you may also refer to the parallel Session B (click MATH2060B in the Useful Links below). All Lecture Notes below are credited by Prof Tom Wan.
- Jan 15: All homework and midterm will be graded online using the Gradescope system. The link of the Gradescope system can be found in the Blackboard system.
- Jan 15: The following arrangement at the end of 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 "Midterm" in the Gradescope system. (You will have around 15 minutes for steps 3-5.) 5. Submit your answer book to the instructor.
- Feb 28: As scheduled at the beginning of this term, Midterm exam will be held on Mar 14, 2024 Thursday evening at 7:00-8:30pm, LSB LT6; it covers Topic 1 to Topic 6 as below, that's the Section 6.1 to 7.2 of the Textbook. Please also pay attentions to the submission arrangement of this exam as announced on Jan 15th above.
- Mar 20: Midterm Stat: Mean=39.35, SD=20.17, Max=84, Median=39, Min=3
- Mar 25: Solutions to questions of midterm exam will be taught in tutorial class this week.
- Apr 17: Final exam (5 questions as in Mid-term): Cover all materials including those in lectures, tutorials, homework, and textbook (including all exercises in Textbook no matter it's assigned in homework or not) with emphasis on those materials after mid-term (i.e., Sec 7.3 to 9.4). But, those materials before mid-term (i.e., Sec 6.1 to 7.2) may also be tested directly/explicitly or indirectly/implicitly.
General Information
Lecturer
-
Renjun DUAN
- Office: LSB 206
- Tel: 3943 7977
- Email:
- Office Hours: Freely visit the office or make an appointment by email.
Teaching Assistant
-
Mr. Chiu Hong LO
- Office: LSB 223
- Tel: 3943 7971
- Email:
- Office Hours: Mon 15:30-16:30
Time and Venue
- Lecture: Mo 16:30 - 18:15 Lady Shaw Bldg LT2; We 14:30 - 15:15 Science Centre L5
- Tutorial: We 15:30 - 16:15 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, (Ch. 6-9).
Lecture Notes
- Topic 01: Derivative
- Topic 02: Mean Value Theorem
- Topic 03: L'Hospital Rule
- 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 Logarithm 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
Tutorial Notes
- Tutorial Note 01
- Tutorial Note 02
- Tutorial Note 03
- Tutorial Note 04
- Tutorial Note 05
- Tutorial Note 06
- Tutorial Note 07
- Tutorial Note 08
- Tutorial Note 09
- Tutorial Note 10
- Tutorial Note 11
- Tutorial Note 12
Assignments
- Homework 1 (due on Jan 25, 2024 at 11:00am, via Gradescope)
- Homework 2 (due on Feb 1, 2024 at 11:00am, via Gradescope)
- Homework 3 (due on Feb 8, 2024 at 11:00am, via Gradescope)
- Homework 4 (due on Feb 22, 2024 at 11:00am, via Gradescope)
- Homework 5 (due on Feb 29, 2024 at 11:00am, via Gradescope)
- Homework 6 (due on Mar 21, 2024 at 11:00am, via Gradescope)
- Homework 7 (due on Mar 28, 2024 at 11:00am, via Gradescope)
- Homework 8 (due on Apr 5, 2024 at 11:00am, via Gradescope)
- Homework 9 (due on Apr 18, 2024 at 11:00am, via Gradescope)
- Homework 10 (no need to hand in)
Solutions
- Ref solutions to Homework 1
- Ref solutions to Homework 2
- Ref solutions to Homework 3
- Ref solutions to Homework 4
- Ref solutions to Homework 5
- Ref solutions to Homework 6 (Revised)
- Ref solutions to Homework 7 (Revised)
- Ref solutions to Homework 8 (Revised)
- Ref solutions to Homework 9
- Ref solutions to Homework 10
Assessment Scheme
Homework | 10% | |
Mid-term Exam (common to both sections): Mar 14, 2024 Thursday evening at 7:00-8:30pm, LSB LT6 | 40% | |
Final (date to be determined 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 17, 2024 21:51:43