MATH2530  Advanced Calculus I for Physical Science and Engineering  2017/18
Announcement
 (Jan 9) For the course outline, see here.
 (Jan 9) The tentative time for Quiz 1, Quiz 2 is Feb 8, Mar 22, 6:30pm7:30pm. If you are not available, please inform us by email before or on Jan 12, Friday.
 (Jan 9) No tutorial in the first week.
 (Feb 2) Quiz 1 will be on Feb 8, Thur, 6:30pm7:30pm, in LSB LT6, covering all the topics up to (including) 3.1. Curve and tangent vector.
 (Mar 15) Quiz 2 will be on Mar 22, Thur, 6:30pm7:30pm, in LSB LT6, covering all the topics in Chap 3, Chap 4, Chap 5 (Only Section 5.1 and 5.2).
General Information
Lecturer

XIAO, Jingjing
 Office: LSB 210
 Tel: 39437985
 Email:
Teaching Assistant

YANG Jingling
 Office: LSB 232
 Tel: 3943 5294
 Email:

LI Chorhung
 Office: LSB 222A
 Tel: 3943 3575
 Email:
Time and Venue
 Lecture: Tu 13:3014:15, LSB LT4; Th 16:3018:15, LSB LT4
 Tutorial: Tu 14:3015:15, LSB LT4; Th 09:3010:15, LSB LT3
Course Description
This course covers the most common techniques and methods of multivariable differential calculus, with an emphasis on examples of two/three variables. Reasoning and theory will be discussed but not in the most rigorous way. Topics include Euclidean space, Curves and its tangent frame, limits and differentiation of functions, extremum problems.
Textbooks
 Thomas' Calculus, Multivariable (12th Edition), by Thomas, Weir, and Hass, of Pearson
References
 Differential Multivariable Calculus, by Thomas Au, of McGraw Hill (ISBN 9781259074219)
Preclass Notes
Lecture Notes
 Lecture 1 (Vector and geometry)
 Lecture 2 (Linear and quadratic objects)
 Lecture 3 (Curve and motion in space,version 2)
 Lecture 4 (Limit and continuity)
 Supplementary notes about graph sketching
 Lecture 5 (Differentiation)
 Lecture 6 (Application of differentiation)
Tutorial Notes
 Classwork 1
 Classwork 1 Solution
 Classwork 2
 Classwork 2 Solution
 Classwork 3
 Classwork 3 Solution
 Classwork 4
 Classwork 4 Solution
 Classwork 5
 Classwork 5 Solution
 Classwork 6
 Classwork 6 Solution
 Classwork 7
 Classwork 7 Solution
 Classwork 8
 Classwork 8 Solution
 Classwork 9
 Classwork 9 Solution
 Classwork 10
 Classwork 10 Solution
 Classwork 11
 Classwork 11 Solution
 Classwork 12
 Classwork 12 Solution
Assignments
 Try the following extra exercises. No need to submit.
 Extra 1
 Extra 2
 Extra 3
 Extra 4 (important)
 Extra 5
Quizzes and Exams
Assessment Scheme
Classwork (in tutorial)  10%  
Quiz 1 (Feb 8, Thur, 6:30pm7:30pm, LSB LT6)  20%  
Quiz 2 (Mar 22, Thur, 6:30pm7:30pm, LSB LT6)  20%  
Final  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: April 19, 2018 16:22:19