MATH2010A - Advanced Calculus I - 2016/17

Course Name: 
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  • Welcome to the course. Here is the tentative schedule (Updated): [Download file]
  • No tutorial in the first week. Tutorial will start from the 2nd week.
  • One correction to Homework 03: Page 3: In Step 3, for the choice of the matrix R, the element of the 2nd row and the 1st column should be +5, not -5.
  • Here is a hint on Exercise 13.2, Problem 17: [Download file]
  • Test 1: This is an in-class test, and the date has been fixed on October 13. Covers include all contents from Lecture 1 to Lecture 5 (the last topic of Lecture 5 is continuity of multivariable functions).
  • The place for Test 1 has been changed to SC L4 with the same time: 3:30pm-4:15pm, Oct 13. You are suggested to come about 5 minutes earlier.
  • To take care of your Test 1, I would set two office hours: 5:30pm-6:30pm Oct 12 and 9:00am-10:00am Oct 13. Please freely come to my office in those office hours.
  • For your use, here is the list of all exercises in Chapter 14 from the textbook (Practice problems will be selected from this file) [Download file]
  • Test 2: It will hold in class (Time: 5:30pm-6:15pm and place: LSB LT3) on November 15th. Covers are all contents in only Lecture 6 to Lecture 10. For this test, I would set three office hours: 3:30pm-4:30pm Nov 8th, 4:30pm-5:30pm Nov 10th, and 1:00pm-2:00pm Nov 11th. Please freely come to my office in those office hours.
  • Reminder: Due to 81st Congregation for the Conferment of Bachelor's Degrees and Master's Degrees, both the lecture class and the tutorial class on Nov 17th will be suspended. In the mean time, since we have class test on Nov 15th, I also would cancel the tutorial class on Nov 15th, so two parallel tutorial sessions still will have the same pace.

General Information


  • Renjun DUAN
    • Office: LSB 206
    • Tel: 3943 7977
    • Email:

Teaching Assistant

  • Yuan YUAN
    • Office: AB1 614
    • Tel: 3943 4109
    • Email:
  • Yangge DU
    • Office: LSB 222A
    • Tel: 3943 3575
    • Email:

Time and Venue

  • Lecture: Tu 4:30PM - 6:15PM, LSB LT3; Th 3:30PM - 4:15PM, LSB LT4
  • Tutorial: Tu 6:30PM - 7:15PM, LSB LT3; Th 2:30PM - 3:15PM, LSB LT4

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.


  • Thomas's Calculus. 12th Edition, Pearson, by George B. Thomas, Maurice D. Weir, and Joel Hass


  • Differential Multivariable Calculus. McGraw-Hill, by Thomas Au. (Concise and comfortable to read)
  • Calculus: Early Transcendentals. Prentice Hall, by Edwards and Penney. (Chapters 11 and 12)
  • Vector Calculus. Pearson, by Susan J. Colley. (Chapters 1, 2, 3, and 4)
  • Calculus Early Transcendentals. 10th Edition, Wiley, by Anton, Bivens, and Davis (Chapters 11, 12 and 13)

Lecture Notes

Tutorial Notes


Quizzes and Exams


Assessment Scheme

Homework 10%
Test 1 (The date fixed on October 13) 20%
Test 2 (Updated: The date fixed on November 15) 20%
Final Exam (The date TBA by the University) 50%

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:

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

Last updated: November 30, 2016 09:17:04