MATH2020A  Advanced Calculus II  2018/19
Announcement
 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 midterm
 Reminder: Midterm 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) 9:3011:30am, UGym, covers all material in the notes, and Ch. 15 and 16 of the Textbook
General Information
Lecturer

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.:12:3014:30

Chow, Chi Hong
 Office: AB1 505
 Tel: 3943 4298
 Email:
 Office Hours: Mon 15:3018:15; Tue 11:3012:15; Thu 14:3018:15
Time and Venue
 Lecture: Tue 15:3016:15 Mong Man Wai Bldg LT1; Thu 10:3012:15 Lady Shaw Bldg LT5
 Tutorial: Tue 13:3014:15 Mong Man Wai Bldg 702; Thu 13:3014:15 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.
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
 Lecture 18
 Lecture 19
 Lecture 20
 Lecture 21
 Lecture 22
 Lecture 23
Tutorial Notes
 Tutorial 1 (Sep 13)
 Tutorial 2 (Sep 20)
 Tutorial 3 (Sep 27)
 Tutorial 4 (Oct 2&4)
 Tutorial 5 (Oct 9&11)
 Tutorial 6 (Oct 16&18)
 Tutorial 7 (Oct 23&25)
 Tutorial 8 (Oct 30&Nov 1)
 Tutorial 9 (Nov 6&Nov 8)
 Tutorial 10 (Nov 13)
 Tutorial 11 (Nov 20&Nov 22)
 Tutorial 12 (Nov 27&Nov 29)
Assignments
 Homework 1 (due on Sep 14, 2018 noon)
 Homework 2 (due on Sep 21, 2018 noon)
 Homework 3 (due on Sep 28, 2018 noon)
 Homework 4 (due on Oct 5, 2018 noon, revised))
 Homework 5 (due on Oct 12, 2018 noon)
 Homework 6 (due on Oct 19, 2018 noon)
 Homework 7 (due on Nov 2, 2018 noon)
 Homework 8 (due on Nov 9, 2018 noon)
 Homework 9 (due on Nov 16, 2018 noon)
 Homework 10 (due on Nov 30, 2018 noon)
Solutions
 Solutions of Homework 1
 Solutions of Homework 2
 Solutions of Homework 3
 Solutions of Homework 4
 Solutions of Homework 5
 A comment on HW5
 Solutions of Homework 6
 Solutions of Midterm
 Solutions of Homework 7
 Solutions of Homework 8
 Solutions of Homework 9
 Solutions of Homework 10
Assessment Scheme
Homework (about once a week)  10%  
Midterm 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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: November 29, 2018 14:36:02