MATH2010A  Advanced Calculus I  2014/15
Announcement
 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 Midterm Test has changed to Oct 30 (Thursday, 9th week). The time and place are 5:30pm6:15pm and in the lecture room (LT3 LSB), and the covers are ALL contents from Lecture 01 to Lecture 09; see below.
 The place for Midterm 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 5:30pm6:15pm 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
Lecturer

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:

TangFei 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.
Textbooks
 Thomas's Calculus, by Thomas, Weir, and Hass, of Pearson.
References
 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. McGrawHill.
 W. Rudin. Principle of Mathematical Analysis. McGrawHill. (More advanced)
Lecture Notes
 Couse Plan
 Lecture Note 01
 Class Question
 Lecture Note 02
 Lecture Note 03
 Table for quadric surfaces in space
 Lecture Note 04
 More details to quadric surface in space
 Lecture Note 05
 Review for analytical geometry in space
 Lecture Note 06
 Lecture Note 07
 Lecture Note 08
 Lecture Note 09
 Review for Lectures 0609
 Lecture Note 10
 Lecture Note 11
 Lecture Note 12
 Lecture Note 13
 Lecture Note 14
Tutorial Notes
 Tutorial Note 01
 Tutorial Note 02
 Tutorial Note 03
 Tutorial Note 04
 Tutorial Note 05
 Tutorial Note 06
 Tutorial Note 07
 Tutorial Note 08
 Tutorial Note 09
 Tutorial Note 10
 Tutorial Note 11
Assignments
 Homework 01 (ONLY selected in red; Due on 6:30pm, Sept 11)
 Homework 02 (ONLY selected in red; Due on 6:30pm, Sept 23)
 Homework 03 (ONLY selected in red; Due on 6:30pm, Oct 6)
 Homework 04 (ONLY selected in red; Due on 6:30pm, Oct 10)
 Homework 05 (ONLY selected in red; Due on 6:30pm, Oct 17)
 Homework 06 (ONLY selected in red; Due on 6:30pm, Oct 23)
 Homework 07 (Due on 6:30pm, Oct 31)
 Homework 08 (ONLY selected in red; Due on 6:30pm, Nov 6 (Thu.))
 Homework 09 (ONLY selected in red; Due on 6:30pm, Nov 14 (Fri.))
 Homework 10 (ONLY selected in red; Due on 6:30pm, Nov 21 (Fri.))
 Homework 11 (ONLY selected in red)
Quizzes and Exams
 Quiz 1
 Quiz 1 Suggested Solutions
 Quiz 2 Suggested Solutions
 Midterm Test (Suggested Solutions)
 Quiz 3 Suggested Solutions
Solutions
 Homework 01 Suggested Solution
 Homework 02 Suggested Solution
 Homework 03 Suggested Solution
 Homework 04 Suggested Solution
 Homework 05 Suggested Solution
 Homework 06 Suggested Solution
 Homework 07 Suggested Solution
 Homework 08 Suggested Solution
 Homework 09 Suggested Solution
 Homework 10 Suggested Solution
 Homework 11 Suggested Solution
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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Last updated: December 10, 2014 23:41:06