# MATH2010A - Advanced Calculus I - 2023/24

Course Name:
Course Year:
2023/24
Term:
1

### Announcement

• 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.
• Midterm and Final will be conducted face-to-face. (See the date and time in the item "Assessment Scheme" below and note that the midterm is arranged on Oct 18 (Wed) evening, not in a regular class.)
• 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.
• No tutorial in the first week.
• Homework 1 (due Sep 22, 2023, 11:00am, via Gradescope) [Download file]
• Homework 2 (due Sep 29, 2023, 11:00am, via Gradescope) [Download file]
• Homework 3 (due Oct 6, 2023, 11:00am, via Gradescope) [Download file]
• Homework 4 (due Oct 13, 2023, 11:00am, via Gradescope) [Download file]
• Midterm coverage: From beginning up to continuity in Lecture Notes and corresponding parts of the Textbook, and material covered by Homework 1-4.
• Homework 5 (due Oct 27, 2023, 11:00am, via Gradescope) [Download file]
• Homework 6 (due Nov 3, 2023, 11:00am, via Gradescope) [Download file]
• Midterm statistics: Mean= 44.87, Median= 44, SD= 15.34, Max= 86, Min= 6.5
• Homework 7 (due Nov 10, 2023, 11:00am, via Gradescope) [Download file]
• Homework 8 (due Nov 17, 2023, 11:00am, via Gradescope) [Download file]
• Homework 9 (due Nov 24, 2023, 11:00am, via Gradescope) [Download file]
• Homework 10 (due Dec 1, 2023, 11:00am, via Gradescope) [Download file]

### General Information

#### Lecturer

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

#### Teaching Assistant

• LIN Xiaoli
• Office: LSB 232A
• Email:
• Office Hours: Monday 10:00am-11:00am
• Mandy Hiu-Ying Man
• Office: LSB 223
• Tel: x 37971
• Email:
• Office Hours: Mondays 4:00-5:00pm
• ZHANG Ziqian
• Office: AB1 614
• Tel: x 34109
• Email:
• Office Hours: Tue 14:00pm-15:00pm
• LU Haowen
• Office: AB1 505
• Email:
• Office Hours: Wednesday 16:00-17:00

#### 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 15:30-16:15 Lady Shaw Bldg LT2; Wed 17:30-18:15, Lady Shaw Bldg LT2; Thu 10:30-11:15, Inst. of Chin Studies L1; Thu 17:30-18:15, Lady Shaw Bldg 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, Early Transcendentals, 13th Edition (Mainly Ch 14, and necessary parts in the Ch 11, 12, and 13)

### References

• Thomas K K Au, Differential Multivariable Calculus

### Assessment Scheme

 Homework 10% Mid-term (Oct 18, 2023, 19:00-20:30, LSK LT5 (Lee Shau Kee Bldg)) 40% Final (date to be determined by 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: