MATH2010A - Advanced Calculus I - 2014/15

Course Name: 
Course Year: 


  • Welcome to the course web. Note: Please check it regularly for the updated information.
  • Tutorials will start from the 2nd week. No tutorials in this week.
  • Quiz 1 will hold in class on Sept 18. The covers are up to the updated lectures.
  • Reminder: In our lecture, a normal vector of a plane may not be a unit vector
  • The due date for Homework 03 has been changed to October 6.
  • Quiz Two will hold in class on Oct 9. The covers are Lecture Note 04 to Lecture Note 07 below.
  • As announced in class, the Mid-term Test has changed to Oct 30 (Thursday, 9th week). The time and place are 5:30pm-6:15pm and in the lecture room (LT3 LSB), and the covers are ALL contents from Lecture 01 to Lecture 09; see below.
  • The place for Mid-term Test has been changed to SC L1 (Science Centre, Lecture Theatre 1) in order to make sure to have at least one empty seat next to each of you. The time is still 5:30pm-6:15pm on Oct 30 (Thur.). Please come for the test about five minutes earlier.
  • Quiz THREE will hold in class on Nov. 13. The covers are Lecture Note 10 to Lecture Note 12 below.
  • No need to hand in Homework 11 below! Suggested solutions to this homework will be provided by the end of Nov 27.

General Information


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

Teaching Assistant

  • Rui ZHAO
    • Office: LSB 222B
    • Tel: 3943 7963
    • Email:
  • Zhan YU
    • Office: LSB 222A
    • Tel: 3943 3575
    • Email:
  • Tang-Fei YU
    • Office: LSB 222C
    • Tel: 3943 8570
    • Email:

Time and Venue

  • Lecture: Tu 2:30PM - 4:15PM, LSB LT3; Th 5:30PM - 6:15PM, LSB LT3
  • Tutorial: Tu 1:30PM - 2:15PM, LSB LT3; Tu 6:30PM - 7:15PM, LSB LT4; Th 1:30PM - 2:15PM, LSB LT3

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, by Thomas, Weir, and Hass, of Pearson.


  • Differential Multivariable Calculus, by Thomas Au, of McGraw Hill (ISBN 9781259074219)
  • Edwards & Penney. Calculus: Early Transcendentals. Prentice Hall.
  • Wrede & Spiegel. Advanced Calculus. Second edition. Schaum's Outlines. McGraw Hill.
  • G. F. Simmons. Calculus with Analytical Geometry. McGraw-Hill.
  • W. Rudin. Principle of Mathematical Analysis. McGraw-Hill. (More advanced)

Lecture Notes

Tutorial Notes


Quizzes and Exams


Assessment Scheme

Homework  5%
Quizzes (3 times; 3rd wk, 6th wk, 11th wk) 15%
Midterm Test (9th wk; updated) 30%
Final Exam (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: December 10, 2014 23:41:06