MATH2020A - Advanced Calculus II - 2018/19

Course Name: 
Course Year: 


  • Homework 1 due on Sep 14, 2018 at 12:00noon
  • Homework 2 due on Sep 21, 2018 at 12:00noon
  • Homework 3 due on Sep 28, 2018 at 12:00noon
  • Homework 4 due on Oct 5, 2018 at 12:00noon
  • There was a typo in the original HW4. It should be section 15.7 (not 15.6). The file is revised.
  • Homework 5 due on Oct 12, 2018 at 12:00noon
  • Homework 6 due on Oct 19, 2018 at 12:00noon; review exercise for mid-term
  • Reminder: Mid-term on Oct 18, 2018; bring Student ID
  • Homework 7 due on Nov 2, 2018 at 12:00noon
  • Homework 8 due on Nov 9, 2018 at 12:00noon
  • Homework 9 due on Nov 16, 2018 at 12:00noon
  • Change of Classroom on Nov 29, 2018 (Thu) to ERB404
  • Homework 10 due on Nov 30, 2018 at 12:00noon
  • Final Exam: Dec 18, 2018 (Tue) 9:30-11:30am, UGym, covers all material in the notes, and Ch. 15 and 16 of the Textbook

General Information


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

Teaching Assistant

  • YUAN Hongwei
    • Office: AB1_614
    • Tel: 39434109
    • Email:
    • Office Hours: Mon. ,Tue.,Wed.,Fri.:12:30-14:30
  • Chow, Chi Hong
    • Office: AB1 505
    • Tel: 3943 4298
    • Email:
    • Office Hours: Mon 15:30-18:15; Tue 11:30-12:15; Thu 14:30-18:15

Time and Venue

  • Lecture: Tue 15:30-16:15 Mong Man Wai Bldg LT1; Thu 10:30-12:15 Lady Shaw Bldg LT5
  • Tutorial: Tue 13:30-14:15 Mong Man Wai Bldg 702; Thu 13:30-14:15 Lady Shaw Bldg LT3

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 (Oct 18, 2018) 40%
Final Exam (to be determined by the 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: November 29, 2018 14:36:02