MATH2010A - Advanced Calculus I - 2020/21

Announcement

• (7/9) Welcome to MATH2010A. There is no tutorial on week 1.
• (21/9) WeBWork 1 is out. It will be due at 3pm on 28/9. To login, use your SID and Onepass password. [Download file]
• (28/9) WeBWork 2 is out. It will be due at 3pm on 5/10. [Download file]
• (10/10) Homework 1 was posted on Gradescope. It will be due at 3pm on 12/10. You can access gradescope from the Course Content on the Blackboard page of "MATH2010A-B". [Download file]
• (11/10) WeBWork 3 is out. It will be due at 3pm on 19/10. [Download file]
• (19/10) Homework 2 is posted on Gradescope. It will be due at 3pm on 26/10. You can access gradescope from the Course Content on the Blackboard page of "MATH2010A-B". [Download file]
• (20/10) Midterm will be conducted online as a "take-home exam" with 24-hour limit. It will be posted on Gradescope at 6pm on Oct 29, 2020 and the deadline for submission is 6pm on Oct 30, 2020. It is expected that the paper can be finished within 1.5 hours. As such, the 24-hour limit should allow enough flexibility. You can access gradescope from the Course Content on the Blackboard page of "MATH2010A-B". The midterm exam will cover materials up to differentiability (P.4 of Week 7 of my notes). It is an open-note exam. However, discussions with anyone are strictly prohibited.
• (9/11) WeBWork 4 is out. It will be due at 3pm on 16/11. [Download file]
• (16/11) Homework 3 is posted on Gradescope. It will be due at 3pm on 23/11. You can access gradescope from the Course Content on the Blackboard page of "MATH2010A-B". [Download file]
• (23/11) WeBWork 5 is out. It will be due at 3pm on 30/11. [Download file]
• (30/11) Homework 4 is posted on Gradescope. It will be due at 3pm on 7/12. You can access gradescope from the Course Content on the Blackboard page of "MATH2010A-B". [Download file]
• (8/12) Final will be held online at 6:30-8:30pm on Dec 22. The exam paper will be posted and collected using Gradescope. The final exam will cover all course materials except for implicit function theorem and inverse function theorem. It is an open-note exam. However, discussions with anyone are strictly prohibited.

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General Information

Lecturer

• Man Chuen CHENG
  • Office: LSB 210
  • Email:

Teaching Assistant

• Ho Tin LEUNG
  • Office: LSB G08
  • Email:

Time and Venue

• Lecture: Tue 4:30-6:15pm; Thu 3:30-4:15pm (See Blackboard for ZOOM info)
• Tutorial: Tue 3:30-4:15pm; Thu 2:30-3:15pm (See Blackboard for ZOOM info)

Course Description

Functions of several variables, partial differentiation, differential and its geometric meaning, chain rule, maxima and minima, Lagrange multiplier, mean value theorem, Taylor series, and implicit function theorem.

Mainly follow the Textbook by Prof Thomas KK Au for general n-dimension, and supplemented by the Thomas' Calculus on examples, special cases for 2 and 3 dimensions, and exercises.

Textbooks

• Thomas Kwok-Keung AU, Differential Multivariable Calculus, Asian Customized Edition, McGraw Hill Education
• Thomas, Weir & Hass, Thomas' Calculus, 12th Ed., Pearson

References

• Serge Lang, Calculus of Several Variables, 3th Ed., Springer
• Tom M. Apostol, Calculus, Volume 2
• Michael Spivak, Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus

Lecture Notes

• Week 1
• Week 2
• Week 3
• Week 4
• Week 5
• Week 6
• Week 7
• Week 8
• Week 9
• Week 10
• Week 11
• Week 12
• Week 13

Assignments

• Guideline on entering answers on WeBWorK
• WeBWorK 1 is due at 3pm on 28/9.
• WeBWorK 2 is due at 3pm on 5/10.
• Homework 1 is on Gradescope. It will be due at 3pm on 12/10.
• WeBWorK 3 is due at 3pm on 5/10.
• Homework 2 is on Gradescope. It will be due at 3pm on 26/10.
• WeBWorK 4 is due at 3pm on 16/11.
• Homework 3 is on Gradescope. It will be due at 3pm on 23/11.
• WeBWorK 5 is due at 3pm on 30/11.
• Homework 4 is on Gradescope. It will be due at 3pm on 7/12.

Solutions

• Solution of HW1
• Solution of HW2
• Solution of Midterm
• Solution to HW3
• Solution to HW4

Assessment Scheme

Homework and WebWork (Online exercises)		10%
Midterm Exam (6pm, Thu, Oct 29 - 6 pm, Fri, Oct 30)		40%
Final Exam		50%

Useful Links

• WeBWorK of MATH2010A

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.

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Assessment Policy

Last updated: December 13, 2020 00:28:46