MATH2020B  Advanced Calculus II  2018/19
Announcement
 Reading Week Apr 16, 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: Midterm on March 5, 2019 (Tuesday) 10:3012:00noon; covers materials up to change of variable formula and HW5, both theory and calculations
 Reminder: Bring student ID to midterm 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)
 Midterm scripts: available for collection in class on Mar 26
 Midterm 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), 12:3014:30, SRRSH (stage)), covers all material including lecture notes and homework except "differentail forms", emphasize on material after the midterm
General Information
Lecturer

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 14301530 (Please make an appointment in advance; other sessions could be made possible upon request in advance.)
Time and Venue
 Lecture: Tue 10:3012:15 Lady Shaw Bldg LT2; Thu 9:3010:15 Lady Shaw Bldg LT5
 Tutorial: Tue 12:3013:15 Lady Shaw Bldg LT2; Thu 8:309:15 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.
Textbooks
 Thomas' Calculus, 12th Ed., Global Edition, Pearson
References
 James Stewart, Calculus  Multivariable Calculus, metric version 8E, CENGAGE Learning
 Anton's Calculus  Early Transcendentals, Global Edition, Wiley
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
 Lecture18
 Lecture 19
 Lecture 20
 Lecture 21
 Lecture 22
 Lecture 23
 Lecture 24
 Lecture 25
Tutorial Notes
 Tutorial 1 (Jan 15, 17)
 Tutorial 2 (Jan 22, 24)
 Tutorial 3 (Jan 29, 31)
 Tutorial 4 (Feb 12, 14)
 Tutorial 5 (Feb 19, 21)
 Tutorial 6 (Feb 26, 28) (errors in reference section corrected)
 Tutorial 7 (Mar 5, 7)
 Tutorial 8 (Mar 12, 14)
 Tutorial 9 (Mar 19, 21)
 Tutorial 10 (Mar 26, 28)
 Tutorial 11 (Apr 9, 11)
 Tutorial 12 (Apr 16, 18)
Assignments
 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 (extended to Feb 22) at 12:00noon)
 Homework 5 (due on Feb 27, 2019 at 12:00noon)
 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)
 Homework 9 (due on Apr 10, 2019 at 12:00noon)
 Homework 10 (due on Apr 18, 2019 at 12:00noon)
Solutions
 HW 1 solution
 HW 2 solution
 HW 3 solution (error in 15.7.10 corrected on 20 Feb)
 HW 4 solution
 HW 5 solution
 HW 6 solution
 HW 7 solution
 HW 8 solution (error in 16.4.23 corrected on 3 Apr)
 HW 9 solution
 HW 10 solution
Assessment Scheme
Homework (about once a week)  10%  
Midterm Exam (Mar 5, 2019)  40%  
Final Exam (Apr 30, 2019 (Tue), 12:3014:30, 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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: April 18, 2019 11:40:45