MATH2010D - Advanced Calculus I - 2019/20
Announcement
- There will be no tutorial in the first week.
- Announcement of the course. [Download file]
- All parts of lecture notes are uploaded.
- New arrangement of the course. [Download file]
- Homework of 1617 Spring has been uploaded for your reference [Download file]
- (Arrangement of midterm and final exam) Midterm will be conducted online using "Blackboard" as a "take-home exam" with 24 hours limit. It will be available on April 16, 2020 at noon and deadline for submission (via "Blackboard") is April 17, 2020 at noon. It is expected that the paper can be finished within 2 hours. As such, the 24-hour limit should allow enough flexibility. More details will be announced later. Another "take-home exam" will be conducted at the end of the term in a similar way as the final assessment. The details, including the time, will be announced later. The weight of the the midterm and final take-home assessment will be 36% and 52% respectively. For students doing very well in these take home assessments, a further oral exam may be arranged to test their in-depth understanding of the subject.
General Information
Lecturer
-
Dr. CHAN Kai Leung
- Office: LSB 202A
- Tel: 3943 7969
- Email:
Time and Venue
- Lecture: Tu 2:30pm - 4:15pm@LHC103; Th 1:30pm - 2:15pm@LHC 104
- Tutorial: Tu 4:30pm - 5:15pm@LHC103; Th 12:30pm - 1:15pm@LHC 104
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
- S. Lang, Calculus of Several Variables, 3th Ed., Springer
Lecture Notes
- Part 1
- Part 2
- Part 3
- Part 4
- Part 5
- Part 6a
- Part 6b (Updated on 28 Apr)
- Partial Derivatives with Constrained Variables (Supplementary Notes)
- Errata and Remarks for Lecture Notes (updated on 9 Apr)
Tutorial Notes
- Problem Set 1
- Solution to Problem Set 1
- Problem Set 2
- Solution to Problem Set 2
- Problem Set 3
- Solution to Problem Set 3
- Problem Set 4
- Solution to Problem Set 4
- Problem Set 5
- Solution to Problem Set 5
- Problem Set 6
- Solution to Problem Set 6
- Problem Set 7
- Solution to Problem Set 7
- Problem Set 8
- Solution to Problem Set 8
- Problem Set 9
- Solution to Problem Set 9
- Problem Set 10
- Solution to Problem Set 10
Assignments
- Assignment 1 (Due Date: 23 Jan) (Updated: A hint is added in Q10)
- HW_1617Spring (For your reference)
Solutions
Assessment Scheme
| Assignment 1 and WeBWorK (Online exercises) | 12% | |
| Midterm Exam (Evening, 16 Apr) | 36% | |
| Final Examination | 52% |
Useful Links
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 28, 2020 17:16:33