MATH2060B - Mathematical Analysis II - 2022/23

Announcement

• No tutorial in the 1st week
• Homework 1 (due Feb 3, 2023, 11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Homework 2 (due Feb 10, 2023, 11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Homework 3 (due Feb 17, 2023, 11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Homework 4 (due Feb 24, 2023, 11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Homework 5 (due Mar 3, 2023, 11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• A new arrangement at the end of the midterm: 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 for record keeping. ("Record" will be checked before grading.) (You will have around 15 minutes for steps 3-5.) 5. Submit your answer book to the instructor.
• Midterm arrangement: Mar 16, 2023 (Thursday) evening at 7:00-8:30pm; YIA LT2
• Midterm coverage: Whole Chapter 6, and sections 7.1 and 7.2 of the Textbook, including all exercises no matter it was assigned in homework or not.
• Midterm review and optional exercies [Download file]
• Homework 6 (due Mar 24, 2023, 11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Homework 7 (due Mar 31, 2023, 11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Homework 8 (due Apr 7, 2023, Easter holiday 11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Homework 9 (due Apr 14, 2023,11:00am via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Midterm stat: Mean=46.69, Median=43, SD=20.32, Max=99, Min=10
• Homework 10 (due Apr 28, 2023,11:00am (a week later than usual to cover all material in Ch 9)) via Gradscope (in Blackboard class MATH2060AB)) [Download file]
• Final exam: May 11, 2023 (Thursday) 9:30-11:30am, University Gym.
• Final exam coverage: all material including those in lectures, tutorials, homework, and Textbook (including all exercises in the Textbook no matter it's assigned in homework or not), with emphasis on those material after the mid-term (i.e section 7.3-9.4). But those material before mid-term may also be tested directly/explicitly or indirectly/implicityly.
• A student asked me for further exercises after the class. I told him to do the following (up to my best memory): section 7.3: Q21, 22; section 7.4: Q14, 15; section 8.1: Q22; section 8.2: Q20; section 9.1: Q7, 13; section 9.2: Q1(c)(d), 8; section 9.3: Q5, 11; section 9.4: Q6, 12.

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General Information

Lecturer

• Tom Yau-heng Wan
  • Office: LSB 202A
  • Tel: x 37969
  • Email:

Teaching Assistant

• LO Chiu Hong
  • Office: LSB 228
  • Tel: 3943 7955
  • Email:
• Yuji LI
  • Office: LSB 232
  • Tel: 3943 5294
  • Email:

Time and Venue

• Lecture: Monday 9:30-11:15am, Mong Man Wai Bldg 707; Thursday 9:30-10:15am Y. C. Liang Hall G04
• Tutorial: Thursday 8:30-9:15am Y. C. Liang Hall G04

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

• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Lecture 9
• Lecture 10
• Lecture 11
• Lecture 12
• Lecture 13
• Lecture 14
• Lecture 15
• Lecture 16
• Lecture 17
• Lecture 18
• Lecture 19
• Lecture 20
• Lecture 21
• Lecture 22
• Lecture 23
• Lecture 24
• Lecture 25

Tutorial Notes

• Tutorial 1
• Tutorial 2
• Tutorial 3
• Tutorial 4
• Tutorial 5
• Tutorial 6
• Tutorial 7
• Tutorial 8
• Tutorial 9
• Tutorial 10
• Tutorial 11
• Tutorial 12

Assignments

• Homework 1 (due on Feb 3, 2023, 11:00am)
• Homework 2 (due on Feb 10, 2023, 11:00am)
• Homework 3 (due on Feb 17, 2023, 11:00am)
• Homework 4 (due on Feb 24, 2023; 11:00am)
• Homework 5 (due on Mar 3, 2023; 11:00am)
• Homework 6 (due on Mar 24, 2023; 11:00am)
• Homework 7 (due on Mar 31, 2023; 11:00am)
• Homework 8 (due on Apr 7, 2023, Easter holiday; 11:00am)
• Homework 9 (due on Apr 14, 2023, 11:00am)
• Homework 10 (due on Apr 28, 2023, 11:00am)

Solutions

• Suggested solutions for HW1
• Suggested solutions for HW2
• Suggested solutions for HW3
• Suggested solutions for HW4
• Suggested solutions for HW5
• Suggested solutions for HW6
• Suggested solutions for HW7
• Suggested solutions for HW8
• Suggested solutions for HW9
• Suggested solutions for HW10

Assessment Scheme

Homework (common to both sections)		10%
Mid-term Exam (common to both sections): Mar 16, 2023 evening at 7:00-8:30pm, YIA LT2		40%
Final (common to both sections, date to be determined by university)		50%

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.

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Assessment Policy

Last updated: April 20, 2023 23:11:14