MATH2010B - Advanced Calculus I - 2024/25

Course Name: 
Advanced Calculus I
Teacher: 
Prof. Jin TAN
Course Year: 
2024/25
Term: 
1

Announcement

  • No tutorial in the 1st week
  • Mid-term assessment will be held on Oct 21, 2024 Oct 21, 2024, 7:00-8:30pm, LSK LT5. 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. 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]
  • Homework 6 (due Oct 31, 2024, 11:00am, via Gradescope) [Download file]

General Information

Lecturer

  • Jin TAN
    • Office: LSB, 237A
    • Email:

Teaching Assistant

  • LIU Stephen Shang Yi
    • Office: LSB 232A
    • Email:
    • Office Hours: Tuesday 3-4pm
  • LIN Xiaoli
    • Office: LSB 232A
    • Email:
  • MAN Hiu Ying Mandy
    • Office: LSB 223
    • Email:

Time and Venue

  • Lecture: Tue 16:30-18:15, SC L1; Wed 11:30-12:15, LSK LT1
  • 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


Tutorial Notes


Assignments


Solutions


Assessment Scheme

Homework 10%
Mid-term (Oct 21, 2024, 7:00-8:30pm) 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:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: October 24, 2024 09:32:04