MATH2020B - Advanced Calculus II - 2023/24

Course Name: 
Course Year: 


  • No tutorial in the 1st week
  • 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.
  • 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.
  • Homework 1 (due Jan 29, 2024, 11:00am, via Gradescope) [Download file]
  • Homework 2 (due Feb 5, 2024, 11:00am, via Gradescope) [Download file]
  • Homework 3 (due Feb 19, 2024, 11:00am, via Gradescope) [Download file]
  • Homework 4 (due Feb 26, 2024, 11:00am, via Gradescope) [Download file]
  • Midterm coverage: Up to Change of Variables Formula. Corresponding to Notes of Lectures 1-9 (up to Date Feb 7, 2024), Ch 15 of the Textbook, and Homework 1-4
  • Homework 5 (due Mar 11, 2024, 11:00am, via Gradescope) [Download file]
  • Midterm Stat: Mean=45.63, Median=41.5, SD=20.31, Max=92, Min=16
  • Homework 6 (due Mar 25, 2024, 11:00am, via Gradescope) [Download file]
  • Homework 7 (due Apr 2, 2024, 11:00am, via Gradescope) [Download file]
  • Homework 8 (due Apr 15, 2024, 11:00am, via Gradescope) [Download file]
  • Homework 9 (due Apr 22, 2024, 11:00am, via Gradescope) [Download file]
  • Homework 10 (No need to hand in) [Download file]

General Information


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

Teaching Assistant

  • CUI Han
    • Office: IMS 614
    • Tel: 3943 4109
    • Email:
    • Office Hours: Tues 15:00-16:00
  • LO Chiu Hong
    • Office: LSB 223
    • Tel: 3943 7971
    • Email:
    • Office Hours: Mon 14:30-15:30

Time and Venue

  • Lecture: Wed 11:30-12:15, ICS L1; Fri 9:30-11:15 MMW Eng Bldg 407
  • Tutorial: (Only need to attend one tutorial class) Wed 12:30-13:15, ICS L1; Fri 8:30-9:15 MMW Eng Bldg 407

Course Description

This is a continuation of MAT2010. The following topics will be discussed: multiple integrals, change of variables formula, vector analysis, line and surface integral, Green's Theorem, divergence theorem, and Stokes' theorem.


  • Thomas' Calculus, Early Transcendentals, 13th Edition (Chapters 15 and 16)


  • James Stewart, Calculus - Multivariable Calculus, metric version 8E, CENGAGE Learning
  • Anton's Calculus - Early Transcendentals, Global Edition, Wiley

Lecture Notes

Tutorial Notes



Assessment Scheme

Homework 10%
Mid-term (Mar 1, 2024 during classes) 40%
Final (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:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: April 24, 2024 15:47:04