MATH2020B - Advanced Calculus II - 2019/20

Course Name: 
Advanced Calculus II
Teacher: 
Prof. Tom Yau Heng WAN
Course Year: 
2019/20
Term: 
2

Announcement

  • No tutorial in the 1st week
  • Homework 1 (due on Jan 17, 2020 Friday at 12:00noon)
  • Homework 2 (due on Jan 23, 2020 Thursday at 5:00pm) (a day earlier to avoid Chinese New Year eve)
  • Tuesday Tutorial class will start earlier at 12:15 -1:00pm (as no objection in class)
  • Homework 3 (new due date Feb 21, 2020 at 12:00noon)
  • Teaching will be resumed on Feb 18 using ZOOM. Please check this webpage again later for update on further information. Emails will also send to your CUHK's account.
  • online submission of homeworks will be arranged. Please check this webpage again later for update on further information. Emails will also send to your CUHK's account.
  • Mid-term Exam is re-scheduled on Mar 24, 2020 (could be online, confirm later)
  • Testing online homework submission via Blackborad: submit a "test" assignment in Blackboard before noon on next Tuesday (Feb 11). This is just for us to test the homework collection function of the blackboard. No mark will be counted. Please try it to make sure that we will receive your homework in the future.
  • Familiar yourself with the ZOOM Cloud Meeting (see eLearning page of CUHK website for detial) as soon as possible. The link, the meeting ID, and the password of our ZOOM meeting class will be announced next Thursday (Feb13) via email and on this page.
  • The following is the link for our online class
  • https://cuhk.zoom.us/j/609395033?pwd=cm9hODJkVW5jdU81NEFlcnpYNWphdz09
  • Meeting ID 609-395-033, Password: 085091
  • Trail session: Feb 14, 2020 (Friday), 2:30-3:00pm
  • Since all students are discourage to come to the campus, homework have to submitted online (cannot drop in the box)
  • All classes will be recorded. One video for lecture and tutorial together each teaching day. Links for the videos will be sent to your @link.cuhk.edu.hk email account.
  • Homework 4 (due on Feb 28, 2020 12:00noon)
  • Homework 5 (due on Mar 6, 2020 12:00noon)
  • No homework this week (Mar 3 and 5, 2020)
  • Mid-term will be conducted online via "Blackboard" as a "take-home exam" with 24 hours limit. It will be available on Mar 24, 2020 at 10:30am (the original schedule announced at the beginning of the online teaching) and deadline for submission is Mar 25, 2020 at 10:30am.
  • Mid-term covers materials up to the change of variables formula, including all materials, both theory and techniques in the Lecture Notes (1-11 and review on Implicit and Inverse Functions Theorems) and Chapter 15 of the Textbook
  • Zoom class on Mar 24, 2020 will be suspended due to the mid-term.
  • Homework 6 (due on Mar 20, 2020 12:00noon)
  • Homework 7 (due on Mar 27, 2020 12:00noon)
  • No homework this week due to the Reading Week.
  • No class during Reading Week (Mar 30 to Apr 3)
  • Midterm marks available on Blackboard system. Mean=74.16 SD=18.56
  • Homework 8 (due on Apr 17, 2020 12:00noon)
  • Homework 9 (due on Apr 24, 2020 12:00noon)
  • Homework 10 (due on May 1, 2020 12:00noon)
  • Final exam will be replaced by a take-home exam conducted online via Blackboard, available at 10:30am on May 4, 2020 and deadline for submission at 4:30pm on May 5, 2020. Arrangement will be similar to the midterm. See Blackboard announcement for details.
  • The take-home final covers materials up to the divergence theorem, including all materials, both theory and techniques in the Lecture Notes, tutorial notes, homework assignments, and corresponding chapters in the text book and reference book, with emphasis on vector analysis part.
  • Take-home Final Statistics: Mean=53.9; Sd=12.7
  • Overall Statistics: Mean=65.1; Sd=13.2

General Information

Lecturer

  • Tom Yau-heng Wan
    • Office: LSB 215
    • Tel: x 37986
    • Email:

Teaching Assistant

  • Chan Ki Fung
    • Office: AB1 505
    • Tel: 39434298
    • Email:
    • Office Hours: Monday 1-4 pm or by appointment
  • Leon LI Yan Lung
    • Office: AB1 505
    • Tel: 39434298
    • Email:
    • Office Hours: Thursday 2-5 pm or by appointment

Time and Venue

  • Lecture: Tuesday 10:30-12:15pm LSB LT2, and Thursday 9:30-10:15pm LSB LT5
  • Tutorial: Tuesday 12:30-1:15pm (change to 12:15-1:00pm) LSB LT2, and Thursday 8:30-9:15am LSB 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


Tutorial Notes


Assignments


Solutions


Assessment Scheme

Homework (about once a week) 10%
Mid-term Exam (Mar 24, 2020 newly scheduled) 40%
Final Exam (Replaced by a take-home exam on May 4, 2020) 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: June 10, 2020 10:43:25