MATH2010A  Advanced Calculus I  2016/17
Announcement
 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 inclass 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: 3:30pm4:15pm, Oct 13. You are suggested to come about 5 minutes earlier.
 To take care of your Test 1, I would set two office hours: 5:30pm6:30pm Oct 12 and 9:00am10:00am 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: 5:30pm6:15pm 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: 3:30pm4:30pm Nov 8th, 4:30pm5:30pm Nov 10th, and 1:00pm2:00pm 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
Lecturer

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.
Textbooks
 Thomas's Calculus. 12th Edition, Pearson, by George B. Thomas, Maurice D. Weir, and Joel Hass
References
 Differential Multivariable Calculus. McGrawHill, 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
 Lecture 1
 Lecture 2
 Lecture 3
 Lecture 4
 Lecture 5
 Lecture 6
 Lecture 7
 Lecture 8
 Lecture 9
 Lecture 10
 Summary of Lect 610
 Lecture 11
 Lecture 12
Tutorial Notes
 Tutorial 01
 Tutorial 02
 Tutorial 03
 Tutorial 04
 Tutorial 05
 Tutorial 06
 Tutorial 07
 Tutorial 08
 Tutorial 09
 Tutorial 10
 Tutorial 11
Assignments
 Homework 01 (ONLY selected in red; Due on 12:00noon, Sept 16)
 Homework 02 (ONLY selected in red; Due on 12:00noon, Sept 23)
 Homework 03 (ONLY selected in red; Due on 12:00noon, Sept 30)
 Homework 04 (ONLY selected in red; Due on 9:30pm, Oct 11)
 Homework 05 (ONLY selected in red; Due on 12:00noon, Oct 28)
 Homework 06 (ONLY selected in red; Due on 12:00noon, Nov 4)
 Homework 07 (ONLY selected in red; Due on 12:00noon, Nov 11)
 Homework 08 (No need to hand in!)
Quizzes and Exams
Solutions
 Suggested solutions to Assignment 01
 Suggested solutions to Assignment 02
 Suggested solutions to Assignment 03
 Suggested solutions to Assignment 04
 Suggested solutions to Assignment 05
 Suggested solutions to Assignment 06
 Suggested solutions to Assignment 07
 Suggested solutions to Assignment 08
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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Last updated: November 30, 2016 09:17:04