MATH2020B - Advanced Calculus II - 2018/19

Course Name: 
Course Year: 


  • Reading Week Apr 1-6, 2019, no class
  • Homework 1 (due on Jan 23, 2019 at 12:00noon)
  • Homework 2 (due on Jan 30, 2019 at 12:00noon)
  • Homework 3 (due on Feb 13, 2019 at 12:00noon)
  • Homework 4 (due on Feb 20, 2019 at 12:00noon)
  • Homework 4 due date extended to Feb 22, 2019 at 12:00noon because of delay in teaching schedule
  • Homework 5 (due on Feb 27, 2019 at 12:00noon)
  • Reminder: Mid-term on March 5, 2019 (Tuesday) 10:30-12:00noon; covers materials up to change of variable formula and HW5, both theory and calculations
  • Reminder: Bring student ID to mid-term for verification
  • Homework 6 (due on Mar 13, 2019 at 12:00noon)
  • Homework 7 (due on Mar 20, 2019 at 12:00noon)
  • Homework 8 (due on Mar 27, 2019 at 12:00noon)
  • Mid-term scripts: available for collection in class on Mar 26
  • Mid-term Stat: mean=56, SD=22.6
  • Homework 9 (due on Apr 10, 2019 at 12:00noon)
  • Homework 10 (due on Apr 18, 2019 at 12:00noon, one more day than usual)
  • Final Exam (Apr 30, 2019 (Tue), 12:30-14:30, SRRSH (stage)), covers all material including lecture notes and homework except "differentail forms", emphasize on material after the mid-term

General Information


  • Wan, Yau Heng Tom
    • Office: LSB215
    • Tel: 3943 7986
    • Email:

Teaching Assistant

  • Li, Yan Lung Leon
    • Office: AB1 505
    • Tel: 3943 4298
    • Email:
    • Office Hours: Wed 11:00 - 12:00
  • Siu, Chun Yin (Alex)
    • Office: 222A, LSB
    • Tel: 39433575
    • Email:
    • Office Hours: Wed 1430-1530 (Please make an appointment in advance; other sessions could be made possible upon request in advance.)

Time and Venue

  • Lecture: Tue 10:30-12:15 Lady Shaw Bldg LT2; Thu 9:30-10:15 Lady Shaw Bldg LT5
  • Tutorial: Tue 12:30-13:15 Lady Shaw Bldg LT2; Thu 8:30-9:15 Lady Shaw Bldg LT5

Course Description

This course will cover the theory and applications of multiple integrals and vector analysis. In the part of multiple integrals, this course will concentrate mainly on 2 and 3 dimensions, including surface areas, volumes and change of variable formula. Multiple integrals in some standard coordinates, such as polar coordinates in 2 dimensions and cylindrical and spherical coordinates in 3 dimensions, will be included. In the part of vector analysis, the course will cover the basic concepts of Curl, Divergence, line and surface integrals of vector fields and the basic Divergence and Stokes' Theorems. If time allows, the concept of differential forms will also be introduced as convenient notation for integral theorems in vector analysis.


  • Thomas' Calculus, 12th Ed., Global Edition, Pearson


  • 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 (about once a week) 10%
Mid-term Exam (Mar 5, 2019) 40%
Final Exam (Apr 30, 2019 (Tue), 12:30-14:30, SRRSH (stage)) 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 18, 2019 11:40:45