MATH2010A - Advanced Calculus I - 2024/25

Announcement

• No tutorial in the 1st week
• Midterm is arranged in the Oct 21 (Mon) evening, not in a regular class (see below for details)
• The following arrangement at the end of the midterm will be implemented: 1. Stop writing when "pen-down" is announced by the instructor. 2. Use your "smartphone" to capture images of all the (non-empty) pages of your answers when instructed by the instructor. 3. Then convert the images of your answers into a pdf file. 4. Submit the pdf file of your answers into the "Midterm" in the Gradescope system. (You will have around 15 minutes for steps 3-5.) 5. Submit your answer book to the instructor.
• All homework and midterm will be graded online using the Gradescope system. The link of the Gradescope system can be found in the Blackboard system.
• Homework 1 (due Sep 19, 2024, 11:00am, via Gradescope) [Download file]
• Homework 2 (due Sep 26, 2024, 11:00am, via Gradescope) [Download file]
• Homework 3 (due Oct 3, 2024, 11:00am, via Gradescope) [Download file]
• Homework 4 (due Oct 10, 2024, 11:00am, via Gradescope) [Download file]
• Homework 5 (due Oct 17, 2024, 11:00am, via Gradescope) [Download file]
• Midterm coverage: From beginning up to and including mixed derivatives theorem in Lecture Notes and corresponding parts of the Textbook, and material covered by Homework 1-5.
• Homework 6 (due Oct 31, 2024, 11:00am, via Gradescope) [Download file]
• Homework 7 (due Nov 7, 2024, 11:00am, via Gradescope) [Download file]
• Midterm statistics (Sections A & B combined): Mean= 69.44, Median=69, SD= 16.21, Max= 99, Min= 22
• Homework 8 (due Nov 14, 2024, 11:00am, via Gradescope) [Download file]
• Homework 9 (due Nov 21, 2024, 11:00am, via Gradescope [Download file]
• Homework 10 (due Nov 28, 2024, 11:00am, via Gradescope) [Download file]
• Final exam coverage: All material in lecture notes, tutorial notes, textbook (Ch13 and necesary parts of Ch 10-12), and homework assignments, except Implicit Function Thoerem and Inverse Function Theorem (but implicit diffierentiation is included as application of chain rules) . Emphasis on those material not included in midterm. Answer all 5 questions. Some questions are unfamiliar/difficult as required by the grade descriptor of A range.

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General Information

Lecturer

• Tom Yau Heng Wan
  • Office: LSB 202A
  • Tel: x 37969
  • Email:

Teaching Assistant

• LIU Stephen Shang Yi
  • Office: LSB 232A
  • Email:
  • Office Hours: Tuesday 3-4pm
• LIN Xiaoli
  • Office: LSB 232A
  • Email:
  • Office Hours: Monday 10:40am-11:40am
• MAN Hiu Ying Mandy
  • Office: LSB 223
  • Email:
  • Office Hours: Thursday 4-5pm

Time and Venue

• Lecture: Tue 10:30-12:15, YC Liang Hall 103; Wed 14:30-15:15, Lady Shaw Bldg LT2
• Tutorial: Attend one of the following: Wed 3:30pm-4:15pm LSB LT2; Wed 5:30pm-6:15pm LSB LT2; Thurs 10:30am-11:15am ICS L1; Thurs 5:30pm-6:15pm LSB LT5

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.

Textbooks

• Thomas' Calculus,15th Edition in SI units, by Hass, Weir, Bogacki, & Heil, Pearson [2023] (Mainly Ch 10-13, basically just for assignning homework, theoretical parts are not included, Available online in Library)

References

• Thomas K K Au, Differential Multivariable Calculus

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
• Lecture 24

Tutorial Notes

• Tutorial 1
• Tutorial 2
• Tutorial 3
• Tutorial 4
• Tutorial 5
• Tutorial 6
• Tutorial 7 (Updated 20241108)
• Tutorial 8
• Tutorial 9
• Tutorial 10
• Tutorial 11

Assignments

• Homework 1 (due on Sep 19, 2024 11:00am)
• Homework 2 (due on Sep 26, 2024 at 11:00am)
• Homework 3 (due on Oct 3, 2024 at 11:00am)
• Homework 4 (due on Oct 10, 2024 at 11:00am)
• Homework 5 (due on Oct 17, 2024 at 11:00am)
• Homework 6 (due on Oct 31, 2024 at 11:00am)
• Homework 7 (due on Nov 7, 2024 at 11:00am)
• Homework 8 (due on Nov 14, 2024 at 11:00am)
• Homework 9 (due on Nov 21, 2024 at 11:00am)
• Homework 10 (due on Nov 28, 2024 at 11:00am)

Solutions

• Solution for HW1
• Solution for HW2
• Solution for HW3
• Solution for HW4
• Solution for HW5 (Updated 20241024)
• Solution for HW6 (Updated 20241108)
• Solution for HW7
• Solution for HW8
• Solution for HW9
• Solution for HW10

Assessment Scheme

Homework		10%
Mid-term (Oct 21, 2024, 7:00-8:30pm, LSK LT5)		40%
Final (Dec 4, 2024 Wed, 3:30-5:30pm, U gym )		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.

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Assessment Policy

Last updated: December 01, 2024 12:43:56